EAN: 9781493921485

SPRINGERBRIEFS IN COMPUTER SCIENCE MORPHOLOGI...

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.

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