Spatial Similarity Relations in Multi-scale Map Spaces [Paperback]

How does one determine how similar two maps are? This book aims at the theory of spatial similarity relations and its application in automated map generalization, including the definitions, classification and features of spatial similarity relations. Included also are calculation models of spatial similarity relations between arbitrary individual objects and between arbitrary object groups, and the application of the theory in the automation of the algorithms and procedures in map generalization.

Preface.- Introduction.- Background and Motivation.- Significances of Spatial Similarity Relations.- Theory of Spatial Relations.- Spatial Description, Spatial Reasoning and Spatial Query/Retrieval.- Spatial Recognition.- Automated Map Generalization.- Classification of Objects in Multi-scale Map Spaces.- Definitions of Map Scale Change.- Research Objectives.- Scope of the Study.- Book Outline.- Literature Review and Analysis.- Definitions of Similarity.- Definitions of Similarity in Various Fields.- Critical Analysis of the Definitions.- Features of Similarity.- Features of Similarity in Different Fields.- Critical Analysis of the Features.- Classification for Spatial Similarity Relations.- Calculation Models/Measures for Similarity Degree.- Models in Psychology.- Models/measures in Computer Science.- Models/measures in Music.- Models/measures in Geography.- Critical Analyses of Existing Models/Measures.- Raster-based Approaches for Map Similarity Comparison.- Per Category Comparison Method.- Kappa Comparison Method.- Fuzzy Kappa Approach.- Fuzzy Inference System.- Fuzzy Comparison with Unequal Resolutions.- Aggregated Cells.- Moving Window-based Structure.- Numerical Comparison Methods.- Chapter Summary.- Concepts of Spatial Similarity Relations in Multi-scale Map Spaces.- Definitions.- Definitions of Similarity Relation.- Definitions of Spatial Similarity Relation.- Definitions of Spatial Similarity Relation in Multi-scale Map Spaces.- Definition of Difference.- l£P