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Algorithmic Foundation of Multi-Scale Spatial Representation

Algorithmic Foundation of Multi-Scale Spatial Representation by Zhilin Li
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INTRODUCTION
Spatial Representation: Representation of Spatial Data
Multi-Scale Spatial Representation
Transformations in Multi-Scale Spatial Representation
Operations for Geometric Transformations in Multi-Scale Spatial Representation
Scope of This Book
References

MATHEMATICAL BACKGROUND
Geometric Elements and Parameters for Spatial Representation
Mathematical Morphology
Delaunay Triangulation and the Voronoi Diagram
Skeletonization and Medial Axis Transformation
References

THEORETICAL BACKGROUND
Scale in Geographical Space
Relativity in Scale: The Natural Principle
The Radical Laws: Principles of Selection
Strategies for Transformations of Spatial Representations in Scale
References

ALGORITHMS FOR TRANSFORMATIONS OF POINT FEATURES
Algorithms for Point Features: An Overview
Algorithms for Aggregation of a Set of Point Features
Algorithms for Selective Omission of a Set of Point Features
Algorithms for Structural Simplification of a Set of Point Features
Algorithms for Outlining a Set of Point Features: Regionization
References

ALGORITHMS FOR POINT-REDUCTION OF INDIVIDUAL LINE FEATURES
Algorithms for Line Point-Reduction: An Overview
Sequential Algorithms with Geometric Parameters as Criteria
Iterative Algorithms with Geometric Parameters as Criteria
Algorithms with Functions of Geometric Parameters as Criteria
Evaluation of Point-Reduction Algorithms.
Attempts to Improve Point-Reduction Algorithms
References

ALGORITHMS FOR SMOOTHING OF INDIVIDUAL LINE FEATURES
Smoothing of a Line: An Overview
Smoothing by Moving Averaging in the Space Domain
Smoothing by Curve Fitting in the Space Domain
Smoothing by Frequency Cutting in the Frequency Domain
Smoothing by Component Exclusion in the Space Domain
Evaluation of Line Smoothing Algorithms
References

ALGORITHMS FOR SCALE-DRIVEN GENERALIZATION OF INDIVIDUAL LINE FEATURES
Scale-Driven Generalization: An Overview
Algorithms Based on Gaussian Spatial-Scale
Algorithms Based on e-Circle Rolling
Algorithms Based on the Natural Principle
Evaluation of Scale-Driven Line Generalization Algorithms
References

ALGORITHMS FOR TRANSFORMATIONS OF A SET OF LINE FEATURES
A Set of Line Features: An Overview
Algorithms for Transformation of a Set of Contour Lines
Algorithms for Transformation of River Networks
Algorithms for Transformation of Transportation Networks
References

ALGORITHMS FOR TRANSFORMATIONS OF INDIVIDUAL AREA FEATURES
Transformation of Individual Area Features: An Overview
Algorithms for Boundary-Based Shape Simplification of an Area Feature
Algorithms for Region-Based Shape Simplification of an Area Feature
Algorithms for Collapse of Area Features
Algorithms for Area Elimination
Algorithms for Splitting an Area Feature
Algorithms for Exaggeration
References

ALGORITHMS FOR TRANSFORMATIONS OF A SET OF AREA FEATURES
Transformation of a Class of Area Features: An Overview
Algorithms for Simplification of the Shape of a Polygonal Network
Algorithms for Combining Area Features: Aggregation and Amalgamation
Algorithms for Merging and Dissolving Area Features
Algorithms for Agglomeration of Area Features
Algorithms for Structural Simplification of Area Patches
Algorithms for Typification of Area Features
References

ALGORITHMS FOR DISPLACEMENT OF FEATURES
Displacement of Features: An Overview
Algorithms for Translations of Features
Displacement by Partial Modification of a Curved Line
Algorithms and Models for Relocation of Features
References

ALGORITHMS FOR TRANSFORMATIONS OF THREE-DIMENSIONAL SURFACES AND FEATURES
Algorithms for Transformations of Three-Dimensional Features: An Overview
Algorithms for Transformations of DTM Surfaces
Algorithms for Transformation of 3-D Features
References

EPILOGUE
INDEX
CRC Press; October 2006
310 pages; ISBN 9781420008432
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Title: Algorithmic Foundation of Multi-Scale Spatial Representation
Author: Zhilin Li
 
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