The entropy weighted non-uniform scanning algorithm for diffraction tomography

Abstract This paper studies diffraction tomography based on Fourier diffraction projection theorem. By the observation of frequency domain projecting image, one can find that projection in frequency domain is not uniformly distributed when the spatial domain scanning angle is equispaced. This result...
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Autor*in:	Sun, YuLi [verfasserIn] Tao, JinXu [verfasserIn] Chen, Hao [verfasserIn] Liu, CongGui [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2015

Schlagwörter:	diffraction tomography Fourier diffraction projection theorem entropy total variation

Übergeordnetes Werk:	Enthalten in: Science in China - Heidelberg : Springer, 2001, 58(2015), 6 vom: 02. März, Seite 1-13
Übergeordnetes Werk:	volume:58 ; year:2015 ; number:6 ; day:02 ; month:03 ; pages:1-13

Links:	Volltext

DOI / URN:	10.1007/s11432-014-5235-0

Katalog-ID:	SPR019316976

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allfields	10.1007/s11432-014-5235-0 doi (DE-627)SPR019316976 (SPR)s11432-014-5235-0-e DE-627 ger DE-627 rakwb eng 070 004 ASE 54.00 bkl Sun, YuLi verfasserin aut The entropy weighted non-uniform scanning algorithm for diffraction tomography 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper studies diffraction tomography based on Fourier diffraction projection theorem. By the observation of frequency domain projecting image, one can find that projection in frequency domain is not uniformly distributed when the spatial domain scanning angle is equispaced. This results in loss of information. We analyze the conditions under which the information lost most. Then, we define the information entropy of each scanning and propose a non-uniform scanning algorithm to maximize the amount of information under conditions of a fixed number of sampling points and scanning angles. The algorithm has five different kinds of the weighting vectors based on different weighting programs. The simulation result supports our hypotheses and indicates that the algorithm proposed in this paper can obviously improve the reconstruction quality. diffraction tomography (dpeaa)DE-He213 Fourier diffraction projection theorem (dpeaa)DE-He213 entropy (dpeaa)DE-He213 total variation (dpeaa)DE-He213 Tao, JinXu verfasserin aut Chen, Hao verfasserin aut Liu, CongGui verfasserin aut Enthalten in Science in China Heidelberg : Springer, 2001 58(2015), 6 vom: 02. März, Seite 1-13 (DE-627)385614764 (DE-600)2142898-0 1862-2836 nnns volume:58 year:2015 number:6 day:02 month:03 pages:1-13 https://dx.doi.org/10.1007/s11432-014-5235-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-BBI SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 54.00 ASE AR 58 2015 6 02 03 1-13
spelling	10.1007/s11432-014-5235-0 doi (DE-627)SPR019316976 (SPR)s11432-014-5235-0-e DE-627 ger DE-627 rakwb eng 070 004 ASE 54.00 bkl Sun, YuLi verfasserin aut The entropy weighted non-uniform scanning algorithm for diffraction tomography 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper studies diffraction tomography based on Fourier diffraction projection theorem. By the observation of frequency domain projecting image, one can find that projection in frequency domain is not uniformly distributed when the spatial domain scanning angle is equispaced. This results in loss of information. We analyze the conditions under which the information lost most. Then, we define the information entropy of each scanning and propose a non-uniform scanning algorithm to maximize the amount of information under conditions of a fixed number of sampling points and scanning angles. The algorithm has five different kinds of the weighting vectors based on different weighting programs. The simulation result supports our hypotheses and indicates that the algorithm proposed in this paper can obviously improve the reconstruction quality. diffraction tomography (dpeaa)DE-He213 Fourier diffraction projection theorem (dpeaa)DE-He213 entropy (dpeaa)DE-He213 total variation (dpeaa)DE-He213 Tao, JinXu verfasserin aut Chen, Hao verfasserin aut Liu, CongGui verfasserin aut Enthalten in Science in China Heidelberg : Springer, 2001 58(2015), 6 vom: 02. März, Seite 1-13 (DE-627)385614764 (DE-600)2142898-0 1862-2836 nnns volume:58 year:2015 number:6 day:02 month:03 pages:1-13 https://dx.doi.org/10.1007/s11432-014-5235-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-BBI SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 54.00 ASE AR 58 2015 6 02 03 1-13
allfields_unstemmed	10.1007/s11432-014-5235-0 doi (DE-627)SPR019316976 (SPR)s11432-014-5235-0-e DE-627 ger DE-627 rakwb eng 070 004 ASE 54.00 bkl Sun, YuLi verfasserin aut The entropy weighted non-uniform scanning algorithm for diffraction tomography 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper studies diffraction tomography based on Fourier diffraction projection theorem. By the observation of frequency domain projecting image, one can find that projection in frequency domain is not uniformly distributed when the spatial domain scanning angle is equispaced. This results in loss of information. We analyze the conditions under which the information lost most. Then, we define the information entropy of each scanning and propose a non-uniform scanning algorithm to maximize the amount of information under conditions of a fixed number of sampling points and scanning angles. The algorithm has five different kinds of the weighting vectors based on different weighting programs. The simulation result supports our hypotheses and indicates that the algorithm proposed in this paper can obviously improve the reconstruction quality. diffraction tomography (dpeaa)DE-He213 Fourier diffraction projection theorem (dpeaa)DE-He213 entropy (dpeaa)DE-He213 total variation (dpeaa)DE-He213 Tao, JinXu verfasserin aut Chen, Hao verfasserin aut Liu, CongGui verfasserin aut Enthalten in Science in China Heidelberg : Springer, 2001 58(2015), 6 vom: 02. März, Seite 1-13 (DE-627)385614764 (DE-600)2142898-0 1862-2836 nnns volume:58 year:2015 number:6 day:02 month:03 pages:1-13 https://dx.doi.org/10.1007/s11432-014-5235-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-BBI SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 54.00 ASE AR 58 2015 6 02 03 1-13
allfieldsGer	10.1007/s11432-014-5235-0 doi (DE-627)SPR019316976 (SPR)s11432-014-5235-0-e DE-627 ger DE-627 rakwb eng 070 004 ASE 54.00 bkl Sun, YuLi verfasserin aut The entropy weighted non-uniform scanning algorithm for diffraction tomography 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper studies diffraction tomography based on Fourier diffraction projection theorem. By the observation of frequency domain projecting image, one can find that projection in frequency domain is not uniformly distributed when the spatial domain scanning angle is equispaced. This results in loss of information. We analyze the conditions under which the information lost most. Then, we define the information entropy of each scanning and propose a non-uniform scanning algorithm to maximize the amount of information under conditions of a fixed number of sampling points and scanning angles. The algorithm has five different kinds of the weighting vectors based on different weighting programs. The simulation result supports our hypotheses and indicates that the algorithm proposed in this paper can obviously improve the reconstruction quality. diffraction tomography (dpeaa)DE-He213 Fourier diffraction projection theorem (dpeaa)DE-He213 entropy (dpeaa)DE-He213 total variation (dpeaa)DE-He213 Tao, JinXu verfasserin aut Chen, Hao verfasserin aut Liu, CongGui verfasserin aut Enthalten in Science in China Heidelberg : Springer, 2001 58(2015), 6 vom: 02. März, Seite 1-13 (DE-627)385614764 (DE-600)2142898-0 1862-2836 nnns volume:58 year:2015 number:6 day:02 month:03 pages:1-13 https://dx.doi.org/10.1007/s11432-014-5235-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-BBI SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 54.00 ASE AR 58 2015 6 02 03 1-13
allfieldsSound	10.1007/s11432-014-5235-0 doi (DE-627)SPR019316976 (SPR)s11432-014-5235-0-e DE-627 ger DE-627 rakwb eng 070 004 ASE 54.00 bkl Sun, YuLi verfasserin aut The entropy weighted non-uniform scanning algorithm for diffraction tomography 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper studies diffraction tomography based on Fourier diffraction projection theorem. By the observation of frequency domain projecting image, one can find that projection in frequency domain is not uniformly distributed when the spatial domain scanning angle is equispaced. This results in loss of information. We analyze the conditions under which the information lost most. Then, we define the information entropy of each scanning and propose a non-uniform scanning algorithm to maximize the amount of information under conditions of a fixed number of sampling points and scanning angles. The algorithm has five different kinds of the weighting vectors based on different weighting programs. The simulation result supports our hypotheses and indicates that the algorithm proposed in this paper can obviously improve the reconstruction quality. diffraction tomography (dpeaa)DE-He213 Fourier diffraction projection theorem (dpeaa)DE-He213 entropy (dpeaa)DE-He213 total variation (dpeaa)DE-He213 Tao, JinXu verfasserin aut Chen, Hao verfasserin aut Liu, CongGui verfasserin aut Enthalten in Science in China Heidelberg : Springer, 2001 58(2015), 6 vom: 02. März, Seite 1-13 (DE-627)385614764 (DE-600)2142898-0 1862-2836 nnns volume:58 year:2015 number:6 day:02 month:03 pages:1-13 https://dx.doi.org/10.1007/s11432-014-5235-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-BBI SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 54.00 ASE AR 58 2015 6 02 03 1-13
language	English
source	Enthalten in Science in China 58(2015), 6 vom: 02. März, Seite 1-13 volume:58 year:2015 number:6 day:02 month:03 pages:1-13
sourceStr	Enthalten in Science in China 58(2015), 6 vom: 02. März, Seite 1-13 volume:58 year:2015 number:6 day:02 month:03 pages:1-13
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topic_facet	diffraction tomography Fourier diffraction projection theorem entropy total variation
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authorswithroles_txt_mv	Sun, YuLi @@aut@@ Tao, JinXu @@aut@@ Chen, Hao @@aut@@ Liu, CongGui @@aut@@
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author	Sun, YuLi
spellingShingle	Sun, YuLi ddc 070 bkl 54.00 misc diffraction tomography misc Fourier diffraction projection theorem misc entropy misc total variation The entropy weighted non-uniform scanning algorithm for diffraction tomography
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topic_title	070 004 ASE 54.00 bkl The entropy weighted non-uniform scanning algorithm for diffraction tomography diffraction tomography (dpeaa)DE-He213 Fourier diffraction projection theorem (dpeaa)DE-He213 entropy (dpeaa)DE-He213 total variation (dpeaa)DE-He213
topic	ddc 070 bkl 54.00 misc diffraction tomography misc Fourier diffraction projection theorem misc entropy misc total variation
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title	The entropy weighted non-uniform scanning algorithm for diffraction tomography
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title_full	The entropy weighted non-uniform scanning algorithm for diffraction tomography
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title_sort	entropy weighted non-uniform scanning algorithm for diffraction tomography
title_auth	The entropy weighted non-uniform scanning algorithm for diffraction tomography
abstract	Abstract This paper studies diffraction tomography based on Fourier diffraction projection theorem. By the observation of frequency domain projecting image, one can find that projection in frequency domain is not uniformly distributed when the spatial domain scanning angle is equispaced. This results in loss of information. We analyze the conditions under which the information lost most. Then, we define the information entropy of each scanning and propose a non-uniform scanning algorithm to maximize the amount of information under conditions of a fixed number of sampling points and scanning angles. The algorithm has five different kinds of the weighting vectors based on different weighting programs. The simulation result supports our hypotheses and indicates that the algorithm proposed in this paper can obviously improve the reconstruction quality.
abstractGer	Abstract This paper studies diffraction tomography based on Fourier diffraction projection theorem. By the observation of frequency domain projecting image, one can find that projection in frequency domain is not uniformly distributed when the spatial domain scanning angle is equispaced. This results in loss of information. We analyze the conditions under which the information lost most. Then, we define the information entropy of each scanning and propose a non-uniform scanning algorithm to maximize the amount of information under conditions of a fixed number of sampling points and scanning angles. The algorithm has five different kinds of the weighting vectors based on different weighting programs. The simulation result supports our hypotheses and indicates that the algorithm proposed in this paper can obviously improve the reconstruction quality.
abstract_unstemmed	Abstract This paper studies diffraction tomography based on Fourier diffraction projection theorem. By the observation of frequency domain projecting image, one can find that projection in frequency domain is not uniformly distributed when the spatial domain scanning angle is equispaced. This results in loss of information. We analyze the conditions under which the information lost most. Then, we define the information entropy of each scanning and propose a non-uniform scanning algorithm to maximize the amount of information under conditions of a fixed number of sampling points and scanning angles. The algorithm has five different kinds of the weighting vectors based on different weighting programs. The simulation result supports our hypotheses and indicates that the algorithm proposed in this paper can obviously improve the reconstruction quality.
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title_short	The entropy weighted non-uniform scanning algorithm for diffraction tomography
url	https://dx.doi.org/10.1007/s11432-014-5235-0
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up_date	2024-07-04T01:05:05.635Z
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