The 3-D global spatial data model : foundation of the spatial data infrastructure

Gespeichert in:

Autor*in:	Burkholder, Earl F. [verfasserIn]

Format:	Buch
Sprache:	Englisch

Erschienen:	Boca Raton, Fla. u.a.: CRC Press ; 2008

Schlagwörter:	Dreidimensionale Bildverarbeitung / Mathematisches Modell / Geoinformationssystem
Schlagwörter:	Spatial data infrastructures, Mathematics Spatial systems Three-dimensional imaging

Systematik:	RB 10104

Anmerkung:	Includes bibliographical references and index
Umfang:	xxv, 364 S. ; ill. ; 25cm

Links:	Zentralblatt MATH Inhaltsverzeichnis
ISBN:	978-1-4200-6301-1

Katalog-ID:	54767225X

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topic_title	QA402 14 ssgn RB 10104 BSZ rvk (DE-625)rvk/142220:12617 *86A30 msc 38.73 bkl 74.48 bkl The 3-D global spatial data model foundation of the spatial data infrastructure Earl F. Burkholder Spatial data infrastructures Mathematics Spatial systems Three-dimensional imaging s (DE-588)4240447-2 (DE-627)104864338 (DE-576)210429712 Dreidimensionale Bildverarbeitung gnd s (DE-588)4114528-8 (DE-627)105821527 (DE-576)209485361 Mathematisches Modell gnd s (DE-588)4261642-6 (DE-627)104626151 (DE-576)210599499 Geoinformationssystem gnd (DE-627)
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title_full	The 3-D global spatial data model foundation of the spatial data infrastructure Earl F. Burkholder
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fulltext	Foreword p. xv Preface p. xix Acknowledgments p. xxi List of Abbreviations p. xxiii The Global Spatial Data Model (GSDM) Defined … Introduction … The GSDM … The Functional Model Component … Computational Designations … Algorithm for Functional Model … The Stochastic Model Component … The GSDM Covariance Matrices … The GSDM … -D Inverse … BURKORD: Software and Database … Summary … References … Spatial Data and the Science of Measurement … Introduction … Spatial Data Defined … Coordinate Systems Give Meaning to Spatial Data … Spatial Data Types … Spatial Data Visualization Is Well Defined … Direct and Indirect Measurements Contain Uncertainty … Fundamental Physical Constants Are Held Exact … Measurements Contain Errors … Measurements Used to Create Spatial Data Include … Taping … Leveling … Electronic Distance Measurement … Angles … Photogrammetric Mapping … Remote Sensing … Errorless Spatial Data Must Also Be Accommodated … Primary Spatial Data Are Based Upon Measurements and Errorless Quantities … Observations and Measurements … Derived Spatial Data Are Computed from Primary Spatial Data … Establishing and Preserving the Value of Spatial Data … Summary … References … Summary of Mathematical Concepts … Introduction … Conventions … Numbers … Fractions … Decimal … Sexagesimal System … Binary System … Conversions … Coordinate Systems … Significant Figures … Addition and Subtraction … Multiplication and Division … Logic … Arithmetic … Algebra … Axioms of Equality (for real numbers A, B, and C) … Axioms of Addition (for real numbers A, B, and C) … Axioms of Multiplication (for real numbers A, B, and C) … Boolean Algebra … Geometry … Point … Distance … Dimension … Line … Plane … Angle … Circle … Ellipse … Radian … Triangle … Quadrilateral … Rectangle … Square … Trapezoid … Polygon … Pythagorean Theorem … Solid Geometry … Sphere … Ellipsoid … Polyhedron … Tetrahedron … Pyramid … Cube … Equation of a Plane in Space … Equation of a Sphere in Space … Equation of an Ellipsoid Centered on the Origin … Conic Sections … Vectors … Trigonometry … Trigonometric Identities … Law of Sines … Law of Cosines … Spherical Trigonometry … Calculus … Example … Differential Calculus Equations … Integral Calculus Equations … Probability and Statistics … Introduction … Standard Deviation … Measurement … Errors … Blunders … Systematic Errors … Random Errors … Error Sources … Personal … Environmental … Instrumental … Accuracy and Precision … Computing Standard Deviations … Standard Deviation of the Mean … Confidence Intervals … Hypothesis Testing … Matrix Algebra … Models … Functional Models … Stochastic Models … Error Propagation … Error Ellipses … Least Squares … Linearization … Applications to the Global Spatial Data Model (GSDM) … References … Geometrical Models for Spatial Data Computations … Introduction … Conventions … Two-Dimensional Cartesian Models … Math/Science Reference System … Engineering/Surveying Reference System … Coordinate Geometry … Forward … Inverse … Intersections … Line-Line: One Solution or No Solution if Lines Are Parallel … Line-Circle: May Have Two Solutions, One Solution, or No Solution … Circle-Circle: May Have Two Solutions, One Solution, or No Solution … Perpendicular Offset … Area by Coordinates … Circular Curves … Definitions … Degree of Curve … Elements and Equations … Stationing … Metric Considerations … Area Formed by Curves … Area of Unit Circle … Spiral Curves … Spiral Geometry … Intersecting a Line with a Spiral … Computing Area Adjacent to a Spiral … Radial Surveying … Vertical Curves … Three-Dimensional Models for Spatial Data … Volume of Rectangular Solid … Volume of a Sphere … Volume of a Cone … Prismoidal Formula … Traditional … -D Spatial Data Models … The … -D GSDM … References … Overview of Geodesy … Introduction … Fields of Geodesy … Goals of Geodesy … Historical Perspective … Religion, Science, and Geodesy … Religion … Science … Degree Measurement … Eratosthenes … Poseidonius … Caliph Abdullah al Mamun … Gerardus Mercator … Willebrord Snellius … Jean Picard … Isaac Newton … Jean-Dominique and Jacques Cassini … French Academy of Science … Meter … Developments during the Nineteenth and Twentieth Centuries … Forecast for the Twenty-first Century … References … Geometrical Geodesy … Introduction … The Two-dimensional Ellipse … The Three-Dimensional Ellipsoid … Ellipsoid Radii of Curvature … Normal Section Radius of Curvature … Geometrical Mean Radius … Rotational Ellipsoid … Equation of Ellipsoid … Geocentric and Geodetic Coordinates … BK1 Transformation … BK2 Transformation … Iteration … Once-Through Vincenty Method … Example of BK1 Transformation … Example of BK2 Transformation-Iteration … Example of BK2 Transformation-Vincenty's Method (same point) … Meridian Arc Length … Length of a Parallel … Surface Area of a Sphere … Ellipsoid Surface Area … The Geodetic Line … Description … Clairaut's Constant … Geodetic Azimuths … Target Height Correction … Geodesic Correction … Geodetic Position Computation: Forward and Inverse … Puissant Forward (BK18) … Puissant Inverse (BK19) … Numerical Integration … BK18 by Integration … BK19: Numerical Integration … Geodetic Position Computations Using State Plane Coordinates … -D Geodetic Position Computations … Forward (BK3) … Inverse (BK4) … GSDM Inverse Example: New Orleans to Chicago … References … Geodetic Datums … Introduction … Horizontal Datums … Brief History … North American Datum of 1927 (NAD27) … North American Datum of 1983 (NAD83) … World Geodetic System 1984 (WGS84) … International Terrestrial Reference Frame (ITRF) … High Accuracy Reference Network (HARN) … Continuously Operating Reference Station (CORS) … Vertical Datums … Mean Sea Level Datum of 1929 (now NGVD29) … International Great Lakes Datum … North American Vertical Datum of 1988 … -D Datums … Datum Transformations … NAD27 to NAD83(86) … NAD83(86) to HPGN … NGVD29 to NVAD88 … HTDP196 Software Sources … Seven- (or Fourteen-) Parameter Transformation … References … Physical Geodesy … Introduction … Gravity … Definitions … Elevation (Generic) … Equipotential Surface … Level Surface … Geoid … Geopotential Number … Dynamic Height … Orthometric Height … Ellipsoid Height … Geoid Height … Gravity and the Shape of the Geoid … Laplace Correction … Measurements and Computations … Interpolation and Extrapolation … Gravity … Tide Readings … Differential Levels … Ellipsoid Heights … Time … Use of Ellipsoid Heights in Place of Orthometric Heights … The Need for Geoid Modeling … Geoid Modeling and the GSDM … Using a Geoid Model … References … Satellite Geodesy and Global Navigation Satellite Systems (GNSS) … Introduction … Brief History of Satellite Positioning … Modes of Positioning … Elapsed Time … Doppler Shift … Interferometry … Satellite Signals … C/A Code … Carrier Phase … Differencing … Single Differencing … Double Differencing … Triple Differencing … Processing GPS Data … Spatial Data Types … Autonomous Processing … Datum … Units … Display … Time … Vector Processing … Multiple Vectors … Traditional Networks … Advanced Processing … The Future of Survey Control Networks … References … Map Projections and State Plane Coordinates … Introduction: Round Earth-Flat Map … Projection Criteria … Projection Figures … Permissible Distortion and Area Covered … The U.S. State Plane Coordinate System (SPCS) … History … Features … NAD27 and NAD83 … Current Status: NAD83 State Plane Coordinate Systems … Advantages … Disadvantages … Procedures … Grid Azimuth … Grid Distance … Traverses … Loop Traverse … Point-to-Point Traverse … Algorithms for Traditional Map Projections … Lambert Conic Conformal Projection … BK10 (Forward) Transformation on Lambert Conic Conformal Projection … BK11 (Inverse) Transformation on Lambert Conic Conformal Projection … Transverse Mercator Projection … BK10 (Forward) Transformation for Transverse Mercator Projection … BK11 (Inverse) Transformation for Transverse Mercator … Oblique Mercator Projection … BK10 (Forward) Transformation for Oblique Mercator Projection … BK11 (Inverse) Transformation for Oblique Mercator Projection … Low-Distortion Projections … Lambert Conic Conformal Projection … Transverse Mercator Projection … Oblique Mercator Projection … References … Using Spatial Data … Introduction … Forces Driving Change … Transition … Consequences … Spatial Data Accuracy … Introduction … Definitions … Spatial Data Components and Their Accuracy … But Everything Moves … Observations, Measurements, and Error Propagation … Finding the Uncertainty of Spatial Data Elements … Using Points Stored in the X/Y/Z Database … Example … Control Values and Observed Vectors … Blunder Checks … Results … Network Accuracy and Local Accuracy … References … Using the GSDM … Introduction … Features … The Functional Model … The Stochastic Model … Database Issues … Implementation Issues … Applications and Examples … WBK Software … References … Rotation Matrix Derivation … References … 1983 State Plane Coordinate System Constants … Example Computation-Network Accuracy and Local Accuracy … Index …
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