TY  - BOOK
AU  - Čomić,Lidija
AU  - De Floriani,Leila
AU  - Magillo,Paola
AU  - Iuricich,Federico
ED  - SpringerLink (Online service)
TI  - Morphological Modeling of Terrains and Volume Data
T2  - SpringerBriefs in Computer Science,
SN  - 9781493921492
AV  - QA76.9.M35 
U1  - 004.0151 23
PY  - 2014///
CY  - New York, NY
PB  - Springer New York, Imprint: Springer
KW  - Computer Science
KW  - Data structures (Computer science)
KW  - Computer simulation
KW  - Mathematics of Computing
KW  - Simulation and Modeling
KW  - Data Structures
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/978-1-4939-2149-2
ER  -