Mathematical morphology in geomorphology and GISci. (2013)

• Record Type: Book
• Further Information: Note: Behara Seshadri Daya Sagar.
• Other Names: Daya Sagar, B. S
• Contents: 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.
• Publisher Details: Boca Raton, Fla London : Chapman & Hall/CRC
• Publication Date: 2013
• Extent: 1 online resource, illustrations
• Subjects: 551.41015118; Geomorphology -- Mathematical models; Geographic information systems -- Mathematical models; Geomorphology -- Mathematics; Geographic information systems -- Mathematics; SCIENCE -- Earth Sciences -- Geography; SCIENCE -- Earth Sciences -- Geology; Electronic books
• Languages: English
• ISBNs: 9781439872024; 1439872023
• Related ISBNs: 9781439872000; 1439872007
• Notes: Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.