Computing in Geographic Information Systems

Introduction Definitions and Different Perspectives of GIS Computational Aspects of GIS Computing Algorithms in GIS Motivation of the Book Organization of the Book Summary Computational Geodesy Definition of Geodesy Mathematical Models of Earth Geometry of Ellipse and Ellipsoid Computing Radius of Curvature Concept of Latitude Applications of Geodesy The Indian Geodetic Reference System (IGRS) Summary Reference Systems and Coordinate Transformations Definition of Reference System Classification of Reference Systems Datum and Coordinate System Attachment of Datum to the Real World Different Coordinate Systems Used in GIS Shape of Earth Coordinate Transformations Datum Transformation Usage of Coordinate Systems Summary Basics of Map Projection What is Map Projection? and Why it is Necessary? Mathematical Definition of Map Projection Process Flow of Map Projection Azimuthal Map Projection Cylinderical Map Projection Conical Map Projection Classification of Map Projections Application of Map Projections Summary Algorithms for Rectification of Geometric Distortions Sources of Geometric Distortion Algorithms for Satellite Image Registration Scale Invariant Feature Transform (SIFT) Fourier Mellin Transform Multiresolution Image Analysis Applications of Image Registration Summary Differential Geometric Principles and Operators Properties of Gaussian, Hessian and Difference of Gaussian Summary Computational Geometry and its Application to GIS Introduction Definitions Geometric Computational Techniques Triangulation of Simple Polygon Convex Hulls in Two Dimensions Divide and Conquer Algorithm Voronoi Diagrams Delaunay Triangulation Delaunay Triangulation: Randomized Incremental Algorithm Delaunay Triangulations and Convex Hulls Applications of Voronoi Diagram and Delaunay Triangulation Summary Spatial Interpolation Techniques Non-Geostatistical Interpolators Geostatistics Summary Spatial Statistical Methods Definition of Statistics Spatial statistics Classification of statistical methods Role of statistics in GIS Descriptive Statistical Methods Inferential Statistics Point Pattern Analysis in GIS Applications of Spatial Statistical Methods Summary An Introduction to Bathymetry Spatial Analysis of Bathymetric Data and Sea GIS Measurements and Analysis Using GIS Appendix Appendix-B Glossary of GIS Terms Bibliography