Morphological Modeling of Terrains and Volume Data

Lidija Čomić, Leila de Floriani, Paola Magillo, Federico Iuricich (Autoren)

Buch | Softcover

116 Seiten

2014
Springer-Verlag New York Inc.
978-1-4939-2148-5 (ISBN)

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This book describes the mathematical background behind discrete approaches to morphological analysis of scalar fields, with a focus on Morse theory and on the discrete theories due to Banchoff and Forman. The algorithms and data structures presented are used for terrain modeling and analysis, molecular shape analysis, and for analysis or visualization of sensor and simulation 3D data sets. It covers a variety of application domains including geography, geology, environmental sciences, medicine and biology. The authors classify the different approaches to morphological analysis which are all based on the construction of Morse or Morse-Smale decompositions. They describe algorithms for computing such decompositions for both 2D and 3D scalar fields, including those based on the discrete watershed transform. Also addressed are recent developments in the research on morphological shape analysis, such as simplification operators for Morse and Morse-Smale complexes and their multi-resolution representation. Designed for professionals and researchers involved with modeling and algorithm analysis, Morphological Modeling of Terrains and Volume Data is a valuable resource. Advanced-level students of computer science, mathematics and geography will also find the content very helpful.

Background.- Morphology Computation Algorithms: Generalities.- Boundary-Based and Region-Growing Algorithms.- Watershed Algorithms.- A Combinatorial Approach Based on Forman Theory.- Simplification and Multi-Resolution Representations.- Experimental Analysis and Comparisons.

Reihe/Serie	SpringerBriefs in Computer Science
Zusatzinfo	58 Illustrations, black and white; XI, 116 p. 58 illus.
Verlagsort	New York
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Datenbanken
	Informatik ► Grafik / Design ► Digitale Bildverarbeitung
	Informatik ► Theorie / Studium ► Algorithmen
Schlagworte	Boundary base algorithms • Digital terrain modeling • discrete Morse theory • Morphological modeling • Morphological representations • Morse complexes • Region based algorithms • Scientific data analysis and visualization • Segmentations • Terrains and volume data • Watershed algorithms
ISBN-10	1-4939-2148-7 / 1493921487
ISBN-13	978-1-4939-2148-5 / 9781493921485
Zustand	Neuware