Sensitivity Analysis in Remote Sensing
1. Introduction: Remote Sensing and Sensitivity Analysis -- 2. Sensitivity Analysis: Differential Calculus of Models -- 3. Three Approaches to Sensitivity Analysis of Models -- 4. Sensitivity Analysis of Analytic Models: Applications of Differential and Variational Calculus -- 5. Sensitivity Analysi...
Ausführliche Beschreibung
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| Autor*in: |
Ustinov, Eugene A. [verfasserIn] |
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| Format: |
E-Book |
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| Sprache: |
Englisch |
| Erschienen: |
Cham: Springer ; 2015 |
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| Schlagwörter: |
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| Anmerkung: |
Description based upon print version of record |
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| Umfang: |
Online-Ressource (XIII, 128 p. 2 illus, online resource) |
| Reihe: |
SpringerBriefs in Earth Sciences SpringerLink ; Bücher |
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| Links: | |
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| ISBN: |
978-3-319-15841-9 |
| DOI / URN: |
10.1007/978-3-319-15841-9 |
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| Katalog-ID: |
1656432994 |
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| 505 | 8 | 0 | |a 1. Introduction: Remote Sensing and Sensitivity Analysis2. Sensitivity Analysis: Differential Calculus of Models -- 3. Three Approaches to Sensitivity Analysis of Models -- 4. Sensitivity Analysis of Analytic Models: Applications of Differential and Variational Calculus -- 5. Sensitivity Analysis of Analytic Models: Linearization and Adjoint Approaches -- 6. Sensitivity Analysis of Numerical Models -- 7. Sensitivity Analysis of Models with higher-Order Differential Equations -- 8. Applications of Sensitivity Analysis in Remote Sensing -- Appendix Operations with matrices and vectors -- Index. |
| 520 | |a 1. Introduction: Remote Sensing and Sensitivity Analysis -- 2. Sensitivity Analysis: Differential Calculus of Models -- 3. Three Approaches to Sensitivity Analysis of Models -- 4. Sensitivity Analysis of Analytic Models: Applications of Differential and Variational Calculus -- 5. Sensitivity Analysis of Analytic Models: Linearization and Adjoint Approaches -- 6. Sensitivity Analysis of Numerical Models -- 7. Sensitivity Analysis of Models with higher-Order Differential Equations -- 8. Applications of Sensitivity Analysis in Remote Sensing -- Appendix Operations with matrices and vectors -- Index. | ||
| 520 | |a This book contains a detailed presentation of general principles of sensitivity analysis as well as their applications to sample cases of remote sensing experiments. An emphasis is made on applications of adjoint problems, because they are more efficient in many practical cases, although their formulation may seem counterintuitive to a beginner. Special attention is paid to forward problems based on higher-order partial differential equations, where a novel matrix operator approach to formulation of corresponding adjoint problems is presented. Sensitivity analysis (SA) serves for quantitative models of physical objects the same purpose, as differential calculus does for functions. SA provides derivatives of model output parameters (observables) with respect to input parameters. In remote sensing SA provides computer-efficient means to compute the jacobians, matrices of partial derivatives of observables with respect to the geophysical parameters of interest. The jacobians are used to solve corresponding inverse problems of remote sensing. They also play an important role already while designing the remote sensing experiment, where they are used to estimate the retrieval uncertainties of the geophysical parameters with given measurement errors of the instrument, thus providing means for formulations of corresponding requirements to the specific remote sensing instrument. If the quantitative models of geophysical objects can be formulated in an analytic form, then sensitivity analysis is reduced to differential calculus. But in most cases, the practical geophysical models used in remote sensing are based on numerical solutions of forward problems – differential equations with initial and/or boundary conditions. As a result, these models cannot be formulated in an analytic form and this is where the methods of SA become indispensable. This book is intended for a wide audience. The beginners in remote sensing could use it as a single source, covering key issues of SA, from general principles, through formulation of corresponding linearized and adjoint problems, to practical applications to uncertainty analysis and inverse problems in remote sensing. The experts, already active in the field, may find useful the alternative formulations of some key issues of SA, for example, use of individual observables, instead of a widespread use of the cumulative cost function. The book also contains an overview of author’s matrix operator approach to formulation of adjoint problems for forward problems based on the higher-order partial differential equations. This approach still awaits its publication in the periodic literature and thus may be of interest to readership across all levels of expertise. | ||
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9783319158419 978-3-319-15841-9 10.1007/978-3-319-15841-9 doi (DE-627)1656432994 (DE-576)430174292 (DE-599)BSZ430174292 (OCoLC)910523164 (EBP)040694178 (DE-He213)978-3-319-15841-9 DE-627 ger DE-627 rakwb eng XA-DE XA-CH GB3-5030 TQ bicssc NAT011000 bisacsh RB bicssc SCI019000 bisacsh Ustinov, Eugene A. verfasserin aut Sensitivity Analysis in Remote Sensing by Eugene A. Ustinov Cham Springer 2015 Online-Ressource (XIII, 128 p. 2 illus, online resource) Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier SpringerBriefs in Earth Sciences SpringerLink Bücher Description based upon print version of record 1. Introduction: Remote Sensing and Sensitivity Analysis2. Sensitivity Analysis: Differential Calculus of Models -- 3. Three Approaches to Sensitivity Analysis of Models -- 4. Sensitivity Analysis of Analytic Models: Applications of Differential and Variational Calculus -- 5. Sensitivity Analysis of Analytic Models: Linearization and Adjoint Approaches -- 6. Sensitivity Analysis of Numerical Models -- 7. Sensitivity Analysis of Models with higher-Order Differential Equations -- 8. Applications of Sensitivity Analysis in Remote Sensing -- Appendix Operations with matrices and vectors -- Index. 1. Introduction: Remote Sensing and Sensitivity Analysis -- 2. Sensitivity Analysis: Differential Calculus of Models -- 3. Three Approaches to Sensitivity Analysis of Models -- 4. Sensitivity Analysis of Analytic Models: Applications of Differential and Variational Calculus -- 5. Sensitivity Analysis of Analytic Models: Linearization and Adjoint Approaches -- 6. Sensitivity Analysis of Numerical Models -- 7. Sensitivity Analysis of Models with higher-Order Differential Equations -- 8. Applications of Sensitivity Analysis in Remote Sensing -- Appendix Operations with matrices and vectors -- Index. This book contains a detailed presentation of general principles of sensitivity analysis as well as their applications to sample cases of remote sensing experiments. An emphasis is made on applications of adjoint problems, because they are more efficient in many practical cases, although their formulation may seem counterintuitive to a beginner. Special attention is paid to forward problems based on higher-order partial differential equations, where a novel matrix operator approach to formulation of corresponding adjoint problems is presented. Sensitivity analysis (SA) serves for quantitative models of physical objects the same purpose, as differential calculus does for functions. SA provides derivatives of model output parameters (observables) with respect to input parameters. In remote sensing SA provides computer-efficient means to compute the jacobians, matrices of partial derivatives of observables with respect to the geophysical parameters of interest. The jacobians are used to solve corresponding inverse problems of remote sensing. They also play an important role already while designing the remote sensing experiment, where they are used to estimate the retrieval uncertainties of the geophysical parameters with given measurement errors of the instrument, thus providing means for formulations of corresponding requirements to the specific remote sensing instrument. If the quantitative models of geophysical objects can be formulated in an analytic form, then sensitivity analysis is reduced to differential calculus. But in most cases, the practical geophysical models used in remote sensing are based on numerical solutions of forward problems – differential equations with initial and/or boundary conditions. As a result, these models cannot be formulated in an analytic form and this is where the methods of SA become indispensable. This book is intended for a wide audience. The beginners in remote sensing could use it as a single source, covering key issues of SA, from general principles, through formulation of corresponding linearized and adjoint problems, to practical applications to uncertainty analysis and inverse problems in remote sensing. The experts, already active in the field, may find useful the alternative formulations of some key issues of SA, for example, use of individual observables, instead of a widespread use of the cumulative cost function. The book also contains an overview of author’s matrix operator approach to formulation of adjoint problems for forward problems based on the higher-order partial differential equations. This approach still awaits its publication in the periodic literature and thus may be of interest to readership across all levels of expertise. Geography Earth Sciences Remote sensing Mathematical physics Physical geography. Mathematical models. Physics. Signal processing. Image processing. Speech processing systems. Geography Remote sensing Mathematical physics 9783319158402 Erscheint auch als Druck-Ausgabe 978-331-91584-0-2 https://doi.org/10.1007/978-3-319-15841-9 X:SPRINGER Verlag lizenzpflichtig Volltext http://dx.doi.org/10.1007/978-3-319-15841-9 Resolving-System Volltext https://swbplus.bsz-bw.de/bsz430174292cov.jpg V:DE-576 X:springer image/jpeg 20150618172813 Cover (DE-627)823886050 ZDB-2-SEB ZDB-2-SXEE 2015 ZDB-2-EES 2015 GBV_ILN_60 ISIL_DE-705 SYSFLAG_1 GBV_KXP GBV_ILN_62 ISIL_DE-28 GBV_ILN_65 ISIL_DE-3 GBV_ILN_110 ISIL_DE-Luen4 GBV_ILN_120 ISIL_DE-715 GBV_ILN_285 ISIL_DE-517 GBV_ILN_370 ISIL_DE-1373 GBV_ILN_381 ISIL_DE-Ki130 GBV_ILN_2011 ISIL_DE-16 GBV_ILN_2014 ISIL_DE-90 GBV_ILN_2015 ISIL_DE-93 GBV_ILN_2017 ISIL_DE-576 GBV_ILN_2050 ISIL_DE-Zi4 GBV_ILN_2148 ISIL_DE-950 GBV ExPruef BO 045F 003.3 045F 550 60 01 0705 1539306518 SpringerLink Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots. Nur für Angehörige der HSU: Volltextzugang von außerhalb des Campus mit Anmeldung über Shibboleth mit Ihrer Bibliothekskennung z 04-05-15 62 01 0028 1539363554 OLR-EES Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Die Weitergabe an Dritte sowie systematisches Downloaden sind untersagt. z 04-05-15 65 01 0003 1655678922 03 --%%-- ebook --%%-- --%%-- OLR-SEB-ZDB-2-EES Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Die Weitergabe an Dritte sowie systematisches Downloaden sind untersagt. k3o 02-01-17 110 01 3110 4305023121 00 --%%-- --%%-- s --%%-- OLR-SEB Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots. z 07-04-23 120 01 0715 1539354474 OLR-ESP Campusweiter Zugriff (Universität Oldenburg). - Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden. z 04-05-15 120 02 0715 3582144909 00 --%%-- --%%-- g --%%-- alma ww z 24-01-20 120 03 0715 1757008985 00 --%%-- --%%-- g --%%-- alma ww z 05-03-18 285 01 0517 4305067056 00 --%%-- --%%-- s --%%-- OLR-ESP-EES Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots. z 07-04-23 370 01 4370 1539286142 olr-springer Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots. i z 04-05-15 381 01 4381 184579804X OLR-SEB Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots z 28-01-19 2011 01 DE-16 3387911173 00 --%%-- --%%-- --%%-- --%%-- l01 01-04-15 2014 01 DE-90 3387911238 00 --%%-- --%%-- n --%%-- l01 01-04-15 2014 02 DE-90 3387911246 00 --%%-- --%%-- n --%%-- l02 01-04-15 2015 01 DE-93 3387911327 00 --%%-- --%%-- p --%%-- Campuslizenz l01 01-04-15 2017 01 DE-576 338791136X 00 --%%-- --%%-- --%%-- n Besitznachweis BSZ nur für Dateneinspielung, keine echte Lizenz vorhanden l01 01-04-15 2050 01 DE-Zi4 3387911424 00 --%%-- --%%-- n --%%-- Elektronischer Volltext - Campuslizenz l01 01-04-15 2148 01 DE-950 3387911505 00 --%%-- eBook Springer --%%-- n Elektronischer Volltext - Campuslizenz l01 01-04-15 60 01 0705 Volltextzugang Campus https://doi.org/10.1007/978-3-319-15841-9 62 01 0028 https://doi.org/10.1007/978-3-319-15841-9 65 01 0003 Volltextzugang Campus https://doi.org/10.1007/978-3-319-15841-9 110 01 3110 https://doi.org/10.1007/978-3-319-15841-9 120 01 0715 http://dx.doi.org/10.1007/978-3-319-15841-9 120 02 0715 http://49gbv-uob-primo.hosted.exlibrisgroup.com/openurl/49GBV_UOB/UOB_services_page?u.ignore_date_coverage=true&rft.mms_id=991016132688103501 120 03 0715 http://49gbv-uob-primo.hosted.exlibrisgroup.com/openurl/49GBV_UOB/UOB_services_page?u.ignore_date_coverage=true&rft.mms_id=991016132688103501 285 01 0517 E-books (Springer) https://doi.org/10.1007/978-3-319-15841-9 370 01 4370 E-Book: Zugriff im HCU-Netz. Zugriff von außerhalb nur für HCU-Angehörige möglich https://doi.org/10.1007/978-3-319-15841-9 381 01 4381 Zugriff nur für GEOMAR-Mitarbeiter / Access for GEOMAR employees only https://doi.org/10.1007/978-3-319-15841-9 2014 01 DE-90 Zugang im Netz des KIT http://dx.doi.org/10.1007/978-3-319-15841-9 2014 02 DE-90 Zugang im Netz der HKA http://dx.doi.org/10.1007/978-3-319-15841-9 2015 01 DE-93 http://dx.doi.org/10.1007/978-3-319-15841-9 2050 01 DE-Zi4 http://dx.doi.org/10.1007/978-3-319-15841-9 2148 01 DE-950 http://dx.doi.org/10.1007/978-3-319-15841-9 120 00 DE-715 99 ww 120 01 0715 25834642 120 01 0715 YH 2020 60 01 0705 SpringerLink 62 01 0028 OLR-EES 65 01 0003 OLR-SEB-ZDB-2-EES 110 01 3110 OLR-SEB 120 01 0715 OLR-ESP 120 02 0715 alma 120 03 0715 alma 285 01 0517 OLR-ESP-EES 370 01 4370 olr-springer 381 01 4381 OLR-SEB |
| spelling |
9783319158419 978-3-319-15841-9 10.1007/978-3-319-15841-9 doi (DE-627)1656432994 (DE-576)430174292 (DE-599)BSZ430174292 (OCoLC)910523164 (EBP)040694178 (DE-He213)978-3-319-15841-9 DE-627 ger DE-627 rakwb eng XA-DE XA-CH GB3-5030 TQ bicssc NAT011000 bisacsh RB bicssc SCI019000 bisacsh Ustinov, Eugene A. verfasserin aut Sensitivity Analysis in Remote Sensing by Eugene A. Ustinov Cham Springer 2015 Online-Ressource (XIII, 128 p. 2 illus, online resource) Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier SpringerBriefs in Earth Sciences SpringerLink Bücher Description based upon print version of record 1. Introduction: Remote Sensing and Sensitivity Analysis2. Sensitivity Analysis: Differential Calculus of Models -- 3. Three Approaches to Sensitivity Analysis of Models -- 4. Sensitivity Analysis of Analytic Models: Applications of Differential and Variational Calculus -- 5. Sensitivity Analysis of Analytic Models: Linearization and Adjoint Approaches -- 6. Sensitivity Analysis of Numerical Models -- 7. Sensitivity Analysis of Models with higher-Order Differential Equations -- 8. Applications of Sensitivity Analysis in Remote Sensing -- Appendix Operations with matrices and vectors -- Index. 1. Introduction: Remote Sensing and Sensitivity Analysis -- 2. Sensitivity Analysis: Differential Calculus of Models -- 3. Three Approaches to Sensitivity Analysis of Models -- 4. Sensitivity Analysis of Analytic Models: Applications of Differential and Variational Calculus -- 5. Sensitivity Analysis of Analytic Models: Linearization and Adjoint Approaches -- 6. Sensitivity Analysis of Numerical Models -- 7. Sensitivity Analysis of Models with higher-Order Differential Equations -- 8. Applications of Sensitivity Analysis in Remote Sensing -- Appendix Operations with matrices and vectors -- Index. This book contains a detailed presentation of general principles of sensitivity analysis as well as their applications to sample cases of remote sensing experiments. An emphasis is made on applications of adjoint problems, because they are more efficient in many practical cases, although their formulation may seem counterintuitive to a beginner. Special attention is paid to forward problems based on higher-order partial differential equations, where a novel matrix operator approach to formulation of corresponding adjoint problems is presented. Sensitivity analysis (SA) serves for quantitative models of physical objects the same purpose, as differential calculus does for functions. SA provides derivatives of model output parameters (observables) with respect to input parameters. In remote sensing SA provides computer-efficient means to compute the jacobians, matrices of partial derivatives of observables with respect to the geophysical parameters of interest. The jacobians are used to solve corresponding inverse problems of remote sensing. They also play an important role already while designing the remote sensing experiment, where they are used to estimate the retrieval uncertainties of the geophysical parameters with given measurement errors of the instrument, thus providing means for formulations of corresponding requirements to the specific remote sensing instrument. If the quantitative models of geophysical objects can be formulated in an analytic form, then sensitivity analysis is reduced to differential calculus. But in most cases, the practical geophysical models used in remote sensing are based on numerical solutions of forward problems – differential equations with initial and/or boundary conditions. As a result, these models cannot be formulated in an analytic form and this is where the methods of SA become indispensable. This book is intended for a wide audience. The beginners in remote sensing could use it as a single source, covering key issues of SA, from general principles, through formulation of corresponding linearized and adjoint problems, to practical applications to uncertainty analysis and inverse problems in remote sensing. The experts, already active in the field, may find useful the alternative formulations of some key issues of SA, for example, use of individual observables, instead of a widespread use of the cumulative cost function. The book also contains an overview of author’s matrix operator approach to formulation of adjoint problems for forward problems based on the higher-order partial differential equations. This approach still awaits its publication in the periodic literature and thus may be of interest to readership across all levels of expertise. Geography Earth Sciences Remote sensing Mathematical physics Physical geography. Mathematical models. Physics. Signal processing. Image processing. Speech processing systems. Geography Remote sensing Mathematical physics 9783319158402 Erscheint auch als Druck-Ausgabe 978-331-91584-0-2 https://doi.org/10.1007/978-3-319-15841-9 X:SPRINGER Verlag lizenzpflichtig Volltext http://dx.doi.org/10.1007/978-3-319-15841-9 Resolving-System Volltext https://swbplus.bsz-bw.de/bsz430174292cov.jpg V:DE-576 X:springer image/jpeg 20150618172813 Cover (DE-627)823886050 ZDB-2-SEB ZDB-2-SXEE 2015 ZDB-2-EES 2015 GBV_ILN_60 ISIL_DE-705 SYSFLAG_1 GBV_KXP GBV_ILN_62 ISIL_DE-28 GBV_ILN_65 ISIL_DE-3 GBV_ILN_110 ISIL_DE-Luen4 GBV_ILN_120 ISIL_DE-715 GBV_ILN_285 ISIL_DE-517 GBV_ILN_370 ISIL_DE-1373 GBV_ILN_381 ISIL_DE-Ki130 GBV_ILN_2011 ISIL_DE-16 GBV_ILN_2014 ISIL_DE-90 GBV_ILN_2015 ISIL_DE-93 GBV_ILN_2017 ISIL_DE-576 GBV_ILN_2050 ISIL_DE-Zi4 GBV_ILN_2148 ISIL_DE-950 GBV ExPruef BO 045F 003.3 045F 550 60 01 0705 1539306518 SpringerLink Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots. Nur für Angehörige der HSU: Volltextzugang von außerhalb des Campus mit Anmeldung über Shibboleth mit Ihrer Bibliothekskennung z 04-05-15 62 01 0028 1539363554 OLR-EES Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Die Weitergabe an Dritte sowie systematisches Downloaden sind untersagt. z 04-05-15 65 01 0003 1655678922 03 --%%-- ebook --%%-- --%%-- OLR-SEB-ZDB-2-EES Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Die Weitergabe an Dritte sowie systematisches Downloaden sind untersagt. k3o 02-01-17 110 01 3110 4305023121 00 --%%-- --%%-- s --%%-- OLR-SEB Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots. z 07-04-23 120 01 0715 1539354474 OLR-ESP Campusweiter Zugriff (Universität Oldenburg). - Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden. z 04-05-15 120 02 0715 3582144909 00 --%%-- --%%-- g --%%-- alma ww z 24-01-20 120 03 0715 1757008985 00 --%%-- --%%-- g --%%-- alma ww z 05-03-18 285 01 0517 4305067056 00 --%%-- --%%-- s --%%-- OLR-ESP-EES Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots. z 07-04-23 370 01 4370 1539286142 olr-springer Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots. i z 04-05-15 381 01 4381 184579804X OLR-SEB Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots z 28-01-19 2011 01 DE-16 3387911173 00 --%%-- --%%-- --%%-- --%%-- l01 01-04-15 2014 01 DE-90 3387911238 00 --%%-- --%%-- n --%%-- l01 01-04-15 2014 02 DE-90 3387911246 00 --%%-- --%%-- n --%%-- l02 01-04-15 2015 01 DE-93 3387911327 00 --%%-- --%%-- p --%%-- Campuslizenz l01 01-04-15 2017 01 DE-576 338791136X 00 --%%-- --%%-- --%%-- n Besitznachweis BSZ nur für Dateneinspielung, keine echte Lizenz vorhanden l01 01-04-15 2050 01 DE-Zi4 3387911424 00 --%%-- --%%-- n --%%-- Elektronischer Volltext - Campuslizenz l01 01-04-15 2148 01 DE-950 3387911505 00 --%%-- eBook Springer --%%-- n Elektronischer Volltext - Campuslizenz l01 01-04-15 60 01 0705 Volltextzugang Campus https://doi.org/10.1007/978-3-319-15841-9 62 01 0028 https://doi.org/10.1007/978-3-319-15841-9 65 01 0003 Volltextzugang Campus https://doi.org/10.1007/978-3-319-15841-9 110 01 3110 https://doi.org/10.1007/978-3-319-15841-9 120 01 0715 http://dx.doi.org/10.1007/978-3-319-15841-9 120 02 0715 http://49gbv-uob-primo.hosted.exlibrisgroup.com/openurl/49GBV_UOB/UOB_services_page?u.ignore_date_coverage=true&rft.mms_id=991016132688103501 120 03 0715 http://49gbv-uob-primo.hosted.exlibrisgroup.com/openurl/49GBV_UOB/UOB_services_page?u.ignore_date_coverage=true&rft.mms_id=991016132688103501 285 01 0517 E-books (Springer) https://doi.org/10.1007/978-3-319-15841-9 370 01 4370 E-Book: Zugriff im HCU-Netz. Zugriff von außerhalb nur für HCU-Angehörige möglich https://doi.org/10.1007/978-3-319-15841-9 381 01 4381 Zugriff nur für GEOMAR-Mitarbeiter / Access for GEOMAR employees only https://doi.org/10.1007/978-3-319-15841-9 2014 01 DE-90 Zugang im Netz des KIT http://dx.doi.org/10.1007/978-3-319-15841-9 2014 02 DE-90 Zugang im Netz der HKA http://dx.doi.org/10.1007/978-3-319-15841-9 2015 01 DE-93 http://dx.doi.org/10.1007/978-3-319-15841-9 2050 01 DE-Zi4 http://dx.doi.org/10.1007/978-3-319-15841-9 2148 01 DE-950 http://dx.doi.org/10.1007/978-3-319-15841-9 120 00 DE-715 99 ww 120 01 0715 25834642 120 01 0715 YH 2020 60 01 0705 SpringerLink 62 01 0028 OLR-EES 65 01 0003 OLR-SEB-ZDB-2-EES 110 01 3110 OLR-SEB 120 01 0715 OLR-ESP 120 02 0715 alma 120 03 0715 alma 285 01 0517 OLR-ESP-EES 370 01 4370 olr-springer 381 01 4381 OLR-SEB |
| allfields_unstemmed |
9783319158419 978-3-319-15841-9 10.1007/978-3-319-15841-9 doi (DE-627)1656432994 (DE-576)430174292 (DE-599)BSZ430174292 (OCoLC)910523164 (EBP)040694178 (DE-He213)978-3-319-15841-9 DE-627 ger DE-627 rakwb eng XA-DE XA-CH GB3-5030 TQ bicssc NAT011000 bisacsh RB bicssc SCI019000 bisacsh Ustinov, Eugene A. verfasserin aut Sensitivity Analysis in Remote Sensing by Eugene A. Ustinov Cham Springer 2015 Online-Ressource (XIII, 128 p. 2 illus, online resource) Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier SpringerBriefs in Earth Sciences SpringerLink Bücher Description based upon print version of record 1. Introduction: Remote Sensing and Sensitivity Analysis2. Sensitivity Analysis: Differential Calculus of Models -- 3. Three Approaches to Sensitivity Analysis of Models -- 4. Sensitivity Analysis of Analytic Models: Applications of Differential and Variational Calculus -- 5. Sensitivity Analysis of Analytic Models: Linearization and Adjoint Approaches -- 6. Sensitivity Analysis of Numerical Models -- 7. Sensitivity Analysis of Models with higher-Order Differential Equations -- 8. Applications of Sensitivity Analysis in Remote Sensing -- Appendix Operations with matrices and vectors -- Index. 1. Introduction: Remote Sensing and Sensitivity Analysis -- 2. Sensitivity Analysis: Differential Calculus of Models -- 3. Three Approaches to Sensitivity Analysis of Models -- 4. Sensitivity Analysis of Analytic Models: Applications of Differential and Variational Calculus -- 5. Sensitivity Analysis of Analytic Models: Linearization and Adjoint Approaches -- 6. Sensitivity Analysis of Numerical Models -- 7. Sensitivity Analysis of Models with higher-Order Differential Equations -- 8. Applications of Sensitivity Analysis in Remote Sensing -- Appendix Operations with matrices and vectors -- Index. This book contains a detailed presentation of general principles of sensitivity analysis as well as their applications to sample cases of remote sensing experiments. An emphasis is made on applications of adjoint problems, because they are more efficient in many practical cases, although their formulation may seem counterintuitive to a beginner. Special attention is paid to forward problems based on higher-order partial differential equations, where a novel matrix operator approach to formulation of corresponding adjoint problems is presented. Sensitivity analysis (SA) serves for quantitative models of physical objects the same purpose, as differential calculus does for functions. SA provides derivatives of model output parameters (observables) with respect to input parameters. In remote sensing SA provides computer-efficient means to compute the jacobians, matrices of partial derivatives of observables with respect to the geophysical parameters of interest. The jacobians are used to solve corresponding inverse problems of remote sensing. They also play an important role already while designing the remote sensing experiment, where they are used to estimate the retrieval uncertainties of the geophysical parameters with given measurement errors of the instrument, thus providing means for formulations of corresponding requirements to the specific remote sensing instrument. If the quantitative models of geophysical objects can be formulated in an analytic form, then sensitivity analysis is reduced to differential calculus. But in most cases, the practical geophysical models used in remote sensing are based on numerical solutions of forward problems – differential equations with initial and/or boundary conditions. As a result, these models cannot be formulated in an analytic form and this is where the methods of SA become indispensable. This book is intended for a wide audience. The beginners in remote sensing could use it as a single source, covering key issues of SA, from general principles, through formulation of corresponding linearized and adjoint problems, to practical applications to uncertainty analysis and inverse problems in remote sensing. The experts, already active in the field, may find useful the alternative formulations of some key issues of SA, for example, use of individual observables, instead of a widespread use of the cumulative cost function. The book also contains an overview of author’s matrix operator approach to formulation of adjoint problems for forward problems based on the higher-order partial differential equations. This approach still awaits its publication in the periodic literature and thus may be of interest to readership across all levels of expertise. Geography Earth Sciences Remote sensing Mathematical physics Physical geography. Mathematical models. Physics. Signal processing. Image processing. Speech processing systems. Geography Remote sensing Mathematical physics 9783319158402 Erscheint auch als Druck-Ausgabe 978-331-91584-0-2 https://doi.org/10.1007/978-3-319-15841-9 X:SPRINGER Verlag lizenzpflichtig Volltext http://dx.doi.org/10.1007/978-3-319-15841-9 Resolving-System Volltext https://swbplus.bsz-bw.de/bsz430174292cov.jpg V:DE-576 X:springer image/jpeg 20150618172813 Cover (DE-627)823886050 ZDB-2-SEB ZDB-2-SXEE 2015 ZDB-2-EES 2015 GBV_ILN_60 ISIL_DE-705 SYSFLAG_1 GBV_KXP GBV_ILN_62 ISIL_DE-28 GBV_ILN_65 ISIL_DE-3 GBV_ILN_110 ISIL_DE-Luen4 GBV_ILN_120 ISIL_DE-715 GBV_ILN_285 ISIL_DE-517 GBV_ILN_370 ISIL_DE-1373 GBV_ILN_381 ISIL_DE-Ki130 GBV_ILN_2011 ISIL_DE-16 GBV_ILN_2014 ISIL_DE-90 GBV_ILN_2015 ISIL_DE-93 GBV_ILN_2017 ISIL_DE-576 GBV_ILN_2050 ISIL_DE-Zi4 GBV_ILN_2148 ISIL_DE-950 GBV ExPruef BO 045F 003.3 045F 550 60 01 0705 1539306518 SpringerLink Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots. Nur für Angehörige der HSU: Volltextzugang von außerhalb des Campus mit Anmeldung über Shibboleth mit Ihrer Bibliothekskennung z 04-05-15 62 01 0028 1539363554 OLR-EES Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Die Weitergabe an Dritte sowie systematisches Downloaden sind untersagt. z 04-05-15 65 01 0003 1655678922 03 --%%-- ebook --%%-- --%%-- OLR-SEB-ZDB-2-EES Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Die Weitergabe an Dritte sowie systematisches Downloaden sind untersagt. k3o 02-01-17 110 01 3110 4305023121 00 --%%-- --%%-- s --%%-- OLR-SEB Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots. z 07-04-23 120 01 0715 1539354474 OLR-ESP Campusweiter Zugriff (Universität Oldenburg). - Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden. z 04-05-15 120 02 0715 3582144909 00 --%%-- --%%-- g --%%-- alma ww z 24-01-20 120 03 0715 1757008985 00 --%%-- --%%-- g --%%-- alma ww z 05-03-18 285 01 0517 4305067056 00 --%%-- --%%-- s --%%-- OLR-ESP-EES Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots. z 07-04-23 370 01 4370 1539286142 olr-springer Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots. i z 04-05-15 381 01 4381 184579804X OLR-SEB Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots z 28-01-19 2011 01 DE-16 3387911173 00 --%%-- --%%-- --%%-- --%%-- l01 01-04-15 2014 01 DE-90 3387911238 00 --%%-- --%%-- n --%%-- l01 01-04-15 2014 02 DE-90 3387911246 00 --%%-- --%%-- n --%%-- l02 01-04-15 2015 01 DE-93 3387911327 00 --%%-- --%%-- p --%%-- Campuslizenz l01 01-04-15 2017 01 DE-576 338791136X 00 --%%-- --%%-- --%%-- n Besitznachweis BSZ nur für Dateneinspielung, keine echte Lizenz vorhanden l01 01-04-15 2050 01 DE-Zi4 3387911424 00 --%%-- --%%-- n --%%-- Elektronischer Volltext - Campuslizenz l01 01-04-15 2148 01 DE-950 3387911505 00 --%%-- eBook Springer --%%-- n Elektronischer Volltext - Campuslizenz l01 01-04-15 60 01 0705 Volltextzugang Campus https://doi.org/10.1007/978-3-319-15841-9 62 01 0028 https://doi.org/10.1007/978-3-319-15841-9 65 01 0003 Volltextzugang Campus https://doi.org/10.1007/978-3-319-15841-9 110 01 3110 https://doi.org/10.1007/978-3-319-15841-9 120 01 0715 http://dx.doi.org/10.1007/978-3-319-15841-9 120 02 0715 http://49gbv-uob-primo.hosted.exlibrisgroup.com/openurl/49GBV_UOB/UOB_services_page?u.ignore_date_coverage=true&rft.mms_id=991016132688103501 120 03 0715 http://49gbv-uob-primo.hosted.exlibrisgroup.com/openurl/49GBV_UOB/UOB_services_page?u.ignore_date_coverage=true&rft.mms_id=991016132688103501 285 01 0517 E-books (Springer) https://doi.org/10.1007/978-3-319-15841-9 370 01 4370 E-Book: Zugriff im HCU-Netz. Zugriff von außerhalb nur für HCU-Angehörige möglich https://doi.org/10.1007/978-3-319-15841-9 381 01 4381 Zugriff nur für GEOMAR-Mitarbeiter / Access for GEOMAR employees only https://doi.org/10.1007/978-3-319-15841-9 2014 01 DE-90 Zugang im Netz des KIT http://dx.doi.org/10.1007/978-3-319-15841-9 2014 02 DE-90 Zugang im Netz der HKA http://dx.doi.org/10.1007/978-3-319-15841-9 2015 01 DE-93 http://dx.doi.org/10.1007/978-3-319-15841-9 2050 01 DE-Zi4 http://dx.doi.org/10.1007/978-3-319-15841-9 2148 01 DE-950 http://dx.doi.org/10.1007/978-3-319-15841-9 120 00 DE-715 99 ww 120 01 0715 25834642 120 01 0715 YH 2020 60 01 0705 SpringerLink 62 01 0028 OLR-EES 65 01 0003 OLR-SEB-ZDB-2-EES 110 01 3110 OLR-SEB 120 01 0715 OLR-ESP 120 02 0715 alma 120 03 0715 alma 285 01 0517 OLR-ESP-EES 370 01 4370 olr-springer 381 01 4381 OLR-SEB |
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9783319158419 978-3-319-15841-9 10.1007/978-3-319-15841-9 doi (DE-627)1656432994 (DE-576)430174292 (DE-599)BSZ430174292 (OCoLC)910523164 (EBP)040694178 (DE-He213)978-3-319-15841-9 DE-627 ger DE-627 rakwb eng XA-DE XA-CH GB3-5030 TQ bicssc NAT011000 bisacsh RB bicssc SCI019000 bisacsh Ustinov, Eugene A. verfasserin aut Sensitivity Analysis in Remote Sensing by Eugene A. Ustinov Cham Springer 2015 Online-Ressource (XIII, 128 p. 2 illus, online resource) Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier SpringerBriefs in Earth Sciences SpringerLink Bücher Description based upon print version of record 1. Introduction: Remote Sensing and Sensitivity Analysis2. Sensitivity Analysis: Differential Calculus of Models -- 3. Three Approaches to Sensitivity Analysis of Models -- 4. Sensitivity Analysis of Analytic Models: Applications of Differential and Variational Calculus -- 5. Sensitivity Analysis of Analytic Models: Linearization and Adjoint Approaches -- 6. Sensitivity Analysis of Numerical Models -- 7. Sensitivity Analysis of Models with higher-Order Differential Equations -- 8. Applications of Sensitivity Analysis in Remote Sensing -- Appendix Operations with matrices and vectors -- Index. 1. Introduction: Remote Sensing and Sensitivity Analysis -- 2. Sensitivity Analysis: Differential Calculus of Models -- 3. Three Approaches to Sensitivity Analysis of Models -- 4. Sensitivity Analysis of Analytic Models: Applications of Differential and Variational Calculus -- 5. Sensitivity Analysis of Analytic Models: Linearization and Adjoint Approaches -- 6. Sensitivity Analysis of Numerical Models -- 7. Sensitivity Analysis of Models with higher-Order Differential Equations -- 8. Applications of Sensitivity Analysis in Remote Sensing -- Appendix Operations with matrices and vectors -- Index. This book contains a detailed presentation of general principles of sensitivity analysis as well as their applications to sample cases of remote sensing experiments. An emphasis is made on applications of adjoint problems, because they are more efficient in many practical cases, although their formulation may seem counterintuitive to a beginner. Special attention is paid to forward problems based on higher-order partial differential equations, where a novel matrix operator approach to formulation of corresponding adjoint problems is presented. Sensitivity analysis (SA) serves for quantitative models of physical objects the same purpose, as differential calculus does for functions. SA provides derivatives of model output parameters (observables) with respect to input parameters. In remote sensing SA provides computer-efficient means to compute the jacobians, matrices of partial derivatives of observables with respect to the geophysical parameters of interest. The jacobians are used to solve corresponding inverse problems of remote sensing. They also play an important role already while designing the remote sensing experiment, where they are used to estimate the retrieval uncertainties of the geophysical parameters with given measurement errors of the instrument, thus providing means for formulations of corresponding requirements to the specific remote sensing instrument. If the quantitative models of geophysical objects can be formulated in an analytic form, then sensitivity analysis is reduced to differential calculus. But in most cases, the practical geophysical models used in remote sensing are based on numerical solutions of forward problems – differential equations with initial and/or boundary conditions. As a result, these models cannot be formulated in an analytic form and this is where the methods of SA become indispensable. This book is intended for a wide audience. The beginners in remote sensing could use it as a single source, covering key issues of SA, from general principles, through formulation of corresponding linearized and adjoint problems, to practical applications to uncertainty analysis and inverse problems in remote sensing. The experts, already active in the field, may find useful the alternative formulations of some key issues of SA, for example, use of individual observables, instead of a widespread use of the cumulative cost function. The book also contains an overview of author’s matrix operator approach to formulation of adjoint problems for forward problems based on the higher-order partial differential equations. This approach still awaits its publication in the periodic literature and thus may be of interest to readership across all levels of expertise. Geography Earth Sciences Remote sensing Mathematical physics Physical geography. Mathematical models. Physics. Signal processing. Image processing. Speech processing systems. 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9783319158419 978-3-319-15841-9 10.1007/978-3-319-15841-9 doi (DE-627)1656432994 (DE-576)430174292 (DE-599)BSZ430174292 (OCoLC)910523164 (EBP)040694178 (DE-He213)978-3-319-15841-9 DE-627 ger DE-627 rakwb eng XA-DE XA-CH GB3-5030 TQ bicssc NAT011000 bisacsh RB bicssc SCI019000 bisacsh Ustinov, Eugene A. verfasserin aut Sensitivity Analysis in Remote Sensing by Eugene A. Ustinov Cham Springer 2015 Online-Ressource (XIII, 128 p. 2 illus, online resource) Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier SpringerBriefs in Earth Sciences SpringerLink Bücher Description based upon print version of record 1. Introduction: Remote Sensing and Sensitivity Analysis2. Sensitivity Analysis: Differential Calculus of Models -- 3. Three Approaches to Sensitivity Analysis of Models -- 4. Sensitivity Analysis of Analytic Models: Applications of Differential and Variational Calculus -- 5. Sensitivity Analysis of Analytic Models: Linearization and Adjoint Approaches -- 6. Sensitivity Analysis of Numerical Models -- 7. Sensitivity Analysis of Models with higher-Order Differential Equations -- 8. Applications of Sensitivity Analysis in Remote Sensing -- Appendix Operations with matrices and vectors -- Index. 1. Introduction: Remote Sensing and Sensitivity Analysis -- 2. Sensitivity Analysis: Differential Calculus of Models -- 3. Three Approaches to Sensitivity Analysis of Models -- 4. Sensitivity Analysis of Analytic Models: Applications of Differential and Variational Calculus -- 5. Sensitivity Analysis of Analytic Models: Linearization and Adjoint Approaches -- 6. Sensitivity Analysis of Numerical Models -- 7. Sensitivity Analysis of Models with higher-Order Differential Equations -- 8. Applications of Sensitivity Analysis in Remote Sensing -- Appendix Operations with matrices and vectors -- Index. This book contains a detailed presentation of general principles of sensitivity analysis as well as their applications to sample cases of remote sensing experiments. An emphasis is made on applications of adjoint problems, because they are more efficient in many practical cases, although their formulation may seem counterintuitive to a beginner. Special attention is paid to forward problems based on higher-order partial differential equations, where a novel matrix operator approach to formulation of corresponding adjoint problems is presented. Sensitivity analysis (SA) serves for quantitative models of physical objects the same purpose, as differential calculus does for functions. SA provides derivatives of model output parameters (observables) with respect to input parameters. In remote sensing SA provides computer-efficient means to compute the jacobians, matrices of partial derivatives of observables with respect to the geophysical parameters of interest. The jacobians are used to solve corresponding inverse problems of remote sensing. They also play an important role already while designing the remote sensing experiment, where they are used to estimate the retrieval uncertainties of the geophysical parameters with given measurement errors of the instrument, thus providing means for formulations of corresponding requirements to the specific remote sensing instrument. If the quantitative models of geophysical objects can be formulated in an analytic form, then sensitivity analysis is reduced to differential calculus. But in most cases, the practical geophysical models used in remote sensing are based on numerical solutions of forward problems – differential equations with initial and/or boundary conditions. As a result, these models cannot be formulated in an analytic form and this is where the methods of SA become indispensable. This book is intended for a wide audience. The beginners in remote sensing could use it as a single source, covering key issues of SA, from general principles, through formulation of corresponding linearized and adjoint problems, to practical applications to uncertainty analysis and inverse problems in remote sensing. The experts, already active in the field, may find useful the alternative formulations of some key issues of SA, for example, use of individual observables, instead of a widespread use of the cumulative cost function. The book also contains an overview of author’s matrix operator approach to formulation of adjoint problems for forward problems based on the higher-order partial differential equations. This approach still awaits its publication in the periodic literature and thus may be of interest to readership across all levels of expertise. Geography Earth Sciences Remote sensing Mathematical physics Physical geography. Mathematical models. Physics. Signal processing. Image processing. Speech processing systems. 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Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots. Nur für Angehörige der HSU: Volltextzugang von außerhalb des Campus mit Anmeldung über Shibboleth mit Ihrer Bibliothekskennung z 04-05-15 62 01 0028 1539363554 OLR-EES Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Die Weitergabe an Dritte sowie systematisches Downloaden sind untersagt. z 04-05-15 65 01 0003 1655678922 03 --%%-- ebook --%%-- --%%-- OLR-SEB-ZDB-2-EES Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Die Weitergabe an Dritte sowie systematisches Downloaden sind untersagt. k3o 02-01-17 110 01 3110 4305023121 00 --%%-- --%%-- s --%%-- OLR-SEB Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots. z 07-04-23 120 01 0715 1539354474 OLR-ESP Campusweiter Zugriff (Universität Oldenburg). - Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden. z 04-05-15 120 02 0715 3582144909 00 --%%-- --%%-- g --%%-- alma ww z 24-01-20 120 03 0715 1757008985 00 --%%-- --%%-- g --%%-- alma ww z 05-03-18 285 01 0517 4305067056 00 --%%-- --%%-- s --%%-- OLR-ESP-EES Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots. z 07-04-23 370 01 4370 1539286142 olr-springer Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots. i z 04-05-15 381 01 4381 184579804X OLR-SEB Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. 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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000cam a22002652 4500</leader><controlfield tag="001">1656432994</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20240707231058.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">150505s2015 gw |||||o 00| ||eng c</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783319158419</subfield><subfield code="9">978-3-319-15841-9</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-319-15841-9</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)1656432994</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-576)430174292</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BSZ430174292</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)910523164</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(EBP)040694178</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)978-3-319-15841-9</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="c">XA-DE</subfield><subfield code="c">XA-CH</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">GB3-5030</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">TQ</subfield><subfield code="2">bicssc</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">NAT011000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">RB</subfield><subfield code="2">bicssc</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">SCI019000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ustinov, Eugene A.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Sensitivity Analysis in Remote Sensing</subfield><subfield code="c">by Eugene A. Ustinov</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cham</subfield><subfield code="b">Springer</subfield><subfield code="c">2015</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">Online-Ressource (XIII, 128 p. 2 illus, online resource)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">SpringerBriefs in Earth Sciences</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">SpringerLink</subfield><subfield code="a">Bücher</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Description based upon print version of record</subfield></datafield><datafield tag="505" ind1="8" ind2="0"><subfield code="a">1. Introduction: Remote Sensing and Sensitivity Analysis2. Sensitivity Analysis: Differential Calculus of Models -- 3. Three Approaches to Sensitivity Analysis of Models -- 4. Sensitivity Analysis of Analytic Models: Applications of Differential and Variational Calculus -- 5. Sensitivity Analysis of Analytic Models: Linearization and Adjoint Approaches -- 6. Sensitivity Analysis of Numerical Models -- 7. Sensitivity Analysis of Models with higher-Order Differential Equations -- 8. Applications of Sensitivity Analysis in Remote Sensing -- Appendix Operations with matrices and vectors -- Index.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">1. Introduction: Remote Sensing and Sensitivity Analysis -- 2. Sensitivity Analysis: Differential Calculus of Models -- 3. Three Approaches to Sensitivity Analysis of Models -- 4. Sensitivity Analysis of Analytic Models: Applications of Differential and Variational Calculus -- 5. Sensitivity Analysis of Analytic Models: Linearization and Adjoint Approaches -- 6. Sensitivity Analysis of Numerical Models -- 7. Sensitivity Analysis of Models with higher-Order Differential Equations -- 8. Applications of Sensitivity Analysis in Remote Sensing -- Appendix Operations with matrices and vectors -- Index.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This book contains a detailed presentation of general principles of sensitivity analysis as well as their applications to sample cases of remote sensing experiments. An emphasis is made on applications of adjoint problems, because they are more efficient in many practical cases, although their formulation may seem counterintuitive to a beginner. Special attention is paid to forward problems based on higher-order partial differential equations, where a novel matrix operator approach to formulation of corresponding adjoint problems is presented. Sensitivity analysis (SA) serves for quantitative models of physical objects the same purpose, as differential calculus does for functions. SA provides derivatives of model output parameters (observables) with respect to input parameters. In remote sensing SA provides computer-efficient means to compute the jacobians, matrices of partial derivatives of observables with respect to the geophysical parameters of interest. The jacobians are used to solve corresponding inverse problems of remote sensing. They also play an important role already while designing the remote sensing experiment, where they are used to estimate the retrieval uncertainties of the geophysical parameters with given measurement errors of the instrument, thus providing means for formulations of corresponding requirements to the specific remote sensing instrument. If the quantitative models of geophysical objects can be formulated in an analytic form, then sensitivity analysis is reduced to differential calculus. But in most cases, the practical geophysical models used in remote sensing are based on numerical solutions of forward problems – differential equations with initial and/or boundary conditions. As a result, these models cannot be formulated in an analytic form and this is where the methods of SA become indispensable. This book is intended for a wide audience. The beginners in remote sensing could use it as a single source, covering key issues of SA, from general principles, through formulation of corresponding linearized and adjoint problems, to practical applications to uncertainty analysis and inverse problems in remote sensing. The experts, already active in the field, may find useful the alternative formulations of some key issues of SA, for example, use of individual observables, instead of a widespread use of the cumulative cost function. The book also contains an overview of author’s matrix operator approach to formulation of adjoint problems for forward problems based on the higher-order partial differential equations. This approach still awaits its publication in the periodic literature and thus may be of interest to readership across all levels of expertise.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Geography</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Earth Sciences</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Remote sensing</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Mathematical physics</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Physical geography.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Mathematical models.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Physics.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Signal processing.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Image 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Ustinov, Eugene A. 1. Introduction: Remote Sensing and Sensitivity Analysis2. Sensitivity Analysis: Differential Calculus of Models -- 3. Three Approaches to Sensitivity Analysis of Models -- 4. Sensitivity Analysis of Analytic Models: Applications of Differential and Variational Calculus -- 5. Sensitivity Analysis of Analytic Models: Linearization and Adjoint Approaches -- 6. Sensitivity Analysis of Numerical Models -- 7. Sensitivity Analysis of Models with higher-Order Differential Equations -- 8. Applications of Sensitivity Analysis in Remote Sensing -- Appendix Operations with matrices and vectors -- Index. misc GB3-5030 misc Geography misc Earth Sciences misc Remote sensing misc Mathematical physics misc Physical geography. misc Mathematical models. misc Physics. misc Signal processing. misc Image processing. misc Speech processing systems. Sensitivity Analysis in Remote Sensing |
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1. Introduction: Remote Sensing and Sensitivity Analysis2. Sensitivity Analysis: Differential Calculus of Models -- 3. Three Approaches to Sensitivity Analysis of Models -- 4. Sensitivity Analysis of Analytic Models: Applications of Differential and Variational Calculus -- 5. Sensitivity Analysis of Analytic Models: Linearization and Adjoint Approaches -- 6. Sensitivity Analysis of Numerical Models -- 7. Sensitivity Analysis of Models with higher-Order Differential Equations -- 8. Applications of Sensitivity Analysis in Remote Sensing -- Appendix Operations with matrices and vectors -- Index. |
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misc GB3-5030 misc Geography misc Earth Sciences misc Remote sensing misc Mathematical physics misc Physical geography. misc Mathematical models. misc Physics. misc Signal processing. misc Image processing. misc Speech processing systems. |
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Sensitivity Analysis in Remote Sensing |
| abstract |
1. Introduction: Remote Sensing and Sensitivity Analysis -- 2. Sensitivity Analysis: Differential Calculus of Models -- 3. Three Approaches to Sensitivity Analysis of Models -- 4. Sensitivity Analysis of Analytic Models: Applications of Differential and Variational Calculus -- 5. Sensitivity Analysis of Analytic Models: Linearization and Adjoint Approaches -- 6. Sensitivity Analysis of Numerical Models -- 7. Sensitivity Analysis of Models with higher-Order Differential Equations -- 8. Applications of Sensitivity Analysis in Remote Sensing -- Appendix Operations with matrices and vectors -- Index. This book contains a detailed presentation of general principles of sensitivity analysis as well as their applications to sample cases of remote sensing experiments. An emphasis is made on applications of adjoint problems, because they are more efficient in many practical cases, although their formulation may seem counterintuitive to a beginner. Special attention is paid to forward problems based on higher-order partial differential equations, where a novel matrix operator approach to formulation of corresponding adjoint problems is presented. Sensitivity analysis (SA) serves for quantitative models of physical objects the same purpose, as differential calculus does for functions. SA provides derivatives of model output parameters (observables) with respect to input parameters. In remote sensing SA provides computer-efficient means to compute the jacobians, matrices of partial derivatives of observables with respect to the geophysical parameters of interest. The jacobians are used to solve corresponding inverse problems of remote sensing. They also play an important role already while designing the remote sensing experiment, where they are used to estimate the retrieval uncertainties of the geophysical parameters with given measurement errors of the instrument, thus providing means for formulations of corresponding requirements to the specific remote sensing instrument. If the quantitative models of geophysical objects can be formulated in an analytic form, then sensitivity analysis is reduced to differential calculus. But in most cases, the practical geophysical models used in remote sensing are based on numerical solutions of forward problems – differential equations with initial and/or boundary conditions. As a result, these models cannot be formulated in an analytic form and this is where the methods of SA become indispensable. This book is intended for a wide audience. The beginners in remote sensing could use it as a single source, covering key issues of SA, from general principles, through formulation of corresponding linearized and adjoint problems, to practical applications to uncertainty analysis and inverse problems in remote sensing. The experts, already active in the field, may find useful the alternative formulations of some key issues of SA, for example, use of individual observables, instead of a widespread use of the cumulative cost function. The book also contains an overview of author’s matrix operator approach to formulation of adjoint problems for forward problems based on the higher-order partial differential equations. This approach still awaits its publication in the periodic literature and thus may be of interest to readership across all levels of expertise. Description based upon print version of record |
| abstractGer |
1. Introduction: Remote Sensing and Sensitivity Analysis -- 2. Sensitivity Analysis: Differential Calculus of Models -- 3. Three Approaches to Sensitivity Analysis of Models -- 4. Sensitivity Analysis of Analytic Models: Applications of Differential and Variational Calculus -- 5. Sensitivity Analysis of Analytic Models: Linearization and Adjoint Approaches -- 6. Sensitivity Analysis of Numerical Models -- 7. Sensitivity Analysis of Models with higher-Order Differential Equations -- 8. Applications of Sensitivity Analysis in Remote Sensing -- Appendix Operations with matrices and vectors -- Index. This book contains a detailed presentation of general principles of sensitivity analysis as well as their applications to sample cases of remote sensing experiments. An emphasis is made on applications of adjoint problems, because they are more efficient in many practical cases, although their formulation may seem counterintuitive to a beginner. Special attention is paid to forward problems based on higher-order partial differential equations, where a novel matrix operator approach to formulation of corresponding adjoint problems is presented. Sensitivity analysis (SA) serves for quantitative models of physical objects the same purpose, as differential calculus does for functions. SA provides derivatives of model output parameters (observables) with respect to input parameters. In remote sensing SA provides computer-efficient means to compute the jacobians, matrices of partial derivatives of observables with respect to the geophysical parameters of interest. The jacobians are used to solve corresponding inverse problems of remote sensing. They also play an important role already while designing the remote sensing experiment, where they are used to estimate the retrieval uncertainties of the geophysical parameters with given measurement errors of the instrument, thus providing means for formulations of corresponding requirements to the specific remote sensing instrument. If the quantitative models of geophysical objects can be formulated in an analytic form, then sensitivity analysis is reduced to differential calculus. But in most cases, the practical geophysical models used in remote sensing are based on numerical solutions of forward problems – differential equations with initial and/or boundary conditions. As a result, these models cannot be formulated in an analytic form and this is where the methods of SA become indispensable. This book is intended for a wide audience. The beginners in remote sensing could use it as a single source, covering key issues of SA, from general principles, through formulation of corresponding linearized and adjoint problems, to practical applications to uncertainty analysis and inverse problems in remote sensing. The experts, already active in the field, may find useful the alternative formulations of some key issues of SA, for example, use of individual observables, instead of a widespread use of the cumulative cost function. The book also contains an overview of author’s matrix operator approach to formulation of adjoint problems for forward problems based on the higher-order partial differential equations. This approach still awaits its publication in the periodic literature and thus may be of interest to readership across all levels of expertise. Description based upon print version of record |
| abstract_unstemmed |
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