Mathematical morphology in geomorphology and GISci
- Daya Sagar, B. S.
- Boca Raton, FL : CRC Press, an imprint of Taylor & Francis Group, 
- Physical description
- xxix, 516 pages : illustrations ; 25 cm
GB400.42 .M33 D39 2013
- Unknown GB400.42 .M33 D39 2013
- Includes bibliographical references and index.
- Introduction Surficial Features Spatial Data General Organization of the Book Mathematical Morphology: An Introduction Birth of Mathematical Morphology Elements of Set Theory and Logical Operations Grid Utilized for Morphological Transformations Theory of Structuring Elements Four Basic Principles of the Theory of Mathematical Morphology Binary Mathematical Morphological Operations Multiscale Morphological Operations Homotopic Operations Based on Basic Binary Morphological Transformations Grayscale Morphological Operations Multiscale Grayscale Morphological Operations Threshold Decomposition of a Function Simulated, Realistic Digital Elevation Models, Digital Bathymetric Maps, Remotely Sensed Data, and Thematic Maps Numerical Array as a Spatial Function Generation of Planar Fractal Basins (Sets) Generation of Fractal Landscapes and Fractal DEMs (Functions) Realistic DEMs and DBMs Remotely Sensed Satellite Data Feature Extraction Unique Feature Retrieval via Binary Skeletonization Retrieval of Physiographic Features from DEMs via Morphological Segmentation Extraction of Morphologically Significant Zones Terrestrial Surface Characterization: A Quantitative Perspective Network Morphometry: A Valuable Tool to Characterize Surficial Phenomena: A Review Fractal Relationship of Medial Axis Length to the Water Body Area Fractal Relation of Perimeter to the Water Body Area Allometric Scaling Relationships in Hortonian Fractal Digital Elevation Model Allometric Relationships between Travel Time Channel Networks, Convex Hulls, and Convexity Measures Universal Scaling Laws in Water Bodies and Their Zones of Influence Size Distributions, Spatial Heterogeneity, and Scaling Laws Size Distributions of Water Bodies and Zones of Influence Estimation of Number-Area-Frequency Dimension of Surface Water Bodies Self-Similar Size Distributions of Water Bodies by Iterated Bisecting Is the Spatial Distribution of Smaller Water Bodies More Homogeneous? Size Distribution-Based Scaling Laws Morphological Shape Decomposition: Scale-Invariant but Shape-Dependent Measures Introduction on MSD and Its Application in Various Fields Morphological Shape Decomposition MSD and Various Power-Laws (Scale Invariant but Shape Dependent) Morphometry of Nonnetwork Space Granulometries, Convexity Measures, and Geodesic Spectrum for DEM Analyses Grayscale Granulometric Analysis Morphological Convexity Measures for Terrestrial Basins Derived from Digital Elevation Models Derivation of Geodesic Flow Fields and Spectrum in Digital Topographic Basin Synthetic Examples to Understand Spatiotemporal Dynamics of Certain Geo(morpho)logical Processes Logistic Map: A Toy Model Logistic Equation in Modeling the Geomorphological Phenomena (Lakes) Numerical Simulations through First-Order Nonlinear Difference Equation to Study Highly Ductile Symmetric Fold Dynamics: A Conceptual Study Logistic Equation in Sand Dunes Quantitative Spatial Relationships and Spatial Reasoning Spatial Reasoning and Mathematical Morphology Recognition and Visualization of Strategically Significant Spatial Sets via Morphological Analysis Strategically Significant Set Experimental Results on Clusters of Sets Discussion and Open Problems Derivation of Spatially Significant Zones from a Cluster Background on Derivation of Spatially Significant Zones from a Cluster Spatial System and Its Subsystems Experimental Results Conclusions Directional Spatial Relationship Background on Directional Spatial Relationship Directional Spatial Relationship via Origin-Specific Dilation Distances Methods to Derive the Directional Spatial Relationship Experimental Results and Discussion Conclusion "Between" Space Background on "Between" Space Spatial Analysis and Reasoning via Hausdorff Distance-Based Morphological Closing Methods to Derive the "Between" Space Extension to Grayscale Features Experimental Results and Discussion Potential Applications Conclusion Spatial Interpolations Introduction Generation of Zonal Map from Point Data via Weighted Skeletonization by Influence Zone Visualization of Spatiotemporal Behavior of Discrete Maps via Generation of Recursive Median Elements Conclusions Index References appear at the end of each chapter.
- (source: Nielsen Book Data)
- Publisher's Summary
- Mathematical Morphology in Geomorphology and GISci presents a multitude of mathematical morphological approaches for processing and analyzing digital images in quantitative geomorphology and geographic information science (GISci). Covering many interdisciplinary applications, the book explains how to use mathematical morphology not only to perform quantitative morphologic and scaling analyses of terrestrial phenomena and processes, but also to deal with challenges encountered in quantitative spatial reasoning studies. For understanding the spatiotemporal characteristics of terrestrial phenomena and processes, the author provides morphological approaches and algorithms to: * Retrieve unique geomorphologic networks and certain terrestrial features * Analyze various geomorphological phenomena and processes via a host of scaling laws and the scale-invariant but shape-dependent indices * Simulate the fractal-skeletal-based channel network model and the behavioral phases of geomorphologic systems based on the interplay between numeric and graphic analyses * Detect strategically significant sets and directional relationships via quantitative spatial reasoning * Visualize spatiotemporal behavior and generate contiguous maps via spatial interpolation Incorporating peer-reviewed content, this book offers simple explanations that enable readers-even those with no background in mathematical morphology-to understand the material. It also includes easy-to-follow equations and many helpful illustrations that encourage readers to implement the ideas.
(source: Nielsen Book Data)
- Publication date
- B.S. Daya Sagar.