Map Algebra (Second Edition)

Author: Hu Peng
Publisher: Wuhan University Press
Book Description:
Map algebra is an algebraic concept that comprehensively and essentially elaborates on the theory and methods of visualizing map graphics and symbols and conducting spatial analysis based on the exchange and operations of point sets. This book is divided into two parts: the upper part (Chapters 1-6) focuses on visualization, which explains the integrated process of map compilation and drawing using raster point sets with relatively prioritized spatial positioning; the lower part (Chapters 7-14) focuses on spatial analysis, discussing several relatively independent basic spatial analysis problems based on the metric space, which serves as the benchmark of scale space.
Table of Contents:
Part I: Visualization (Algebraic Cartography)
Chapter 1: Algebraic Concepts of Maps
1.1 Basic Concepts of Algebra
1.2 Algebraic Perspective of Maps
1.3 Origin and Development of Map Algebra
Chapter 2: Data Organization in Map Algebra
2.1 General Concepts of Databases
2.2 Data Types of Geographical Data
2.3 Design and Basic Structure of the Geographical Relational Database HG.DB
2.4 Mathematical Basis of Geographical Databases
2.5 Boundary Problems in Transformations and the p4T Method
2.6 Organization of Spatial Data and Data Retrieval
2.7 Data Editing and Input (Addition)
2.8 Merging Geographical Databases
2.9 Output of HG-DB
Chapter 3: Symbol Theory
3.1 Map Structure and Symbols
3.2 Data Structure of Point Symbols
3.3 Data Structure of Line Symbols
3.4 Data Structure of Area Symbols and Character Library
Chapter 4: Algebraic Methods of Symbolization
4.1 Overview
4.2 Automatic Configuration of Point Symbols
4.3 Automatic Configuration of Line Symbols
4.4 Automatic Configuration of Map Annotation
Chapter 5: Algebraic Methods of Dynamic Cartography
5.1 Data Sources for Algebraic Cartography
5.2 Mathematical Principles of Cartographic Generalization
5.3 Several Steps and Algorithms for Cartographic Preprocessing
Chapter 6: Map Transformation and Operations
6.1 Physical Form of Maps in Map Algebra
6.2 Preprocessing Transformations and Operations
6.3 Basic Operations
6.4 Functional Operations
6.5 Macro Functional Operations
6.6 Summary of Integrated Cartography in Map Algebra
Part II: Spatial Analysis (Algebraic Analysis)
Chapter 7: Distance Transformation
7.1 Distance
7.2 Distance Between Entities
7.3 Distance Calculation Methods and Types
7.4 Distance Transformation in Map Algebra
7.5 Summary
Chapter 8: Several Important Transformations
8.1 Buffer Transformation
8.2 Shell Transformation and Peeling Transformation
8.3 Sticking Transformation and Erosion Transformation
8.4 Structural Line (Morphological Analysis) Transformation
8.5 Boundary Extraction Transformation and Module Matching Operation
8.6 Summary
Chapter 9: Voronoi Diagrams
9.1 Definition of Voronoi Diagrams
9.2 Methods for Generating V Diagrams
9.3 Significance and Applications of V Diagrams
Chapter 10: Overview of Map Graphic Shape Generalization
10.1 Shape Generalization of Point Entities
10.2 Shape Generalization of Line Entities
10.3 Polygon Generalization
10.4 Generalization of Several Complex Shapes
10.5 Summary
Chapter 11: DEM Generation and Three-Dimensional Analysis
Chapter 12: Network Graph Analysis
Chapter 13: Overlay Analysis
Chapter 14: Spatial Geographic Analysis
Conclusion
Figures
Tables
Main References
Postscript