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.
Authors and Affiliations
Department for Fundamental Disciplines, Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia
Lidija Čomić
Department of Computer Science, Bioengineering, Robotics and Systems Engineering, University of Genova, Genova, Italy
Leila De Floriani,
Paola Magillo
Department of Computer Science, University of Maryland, College Park, USA
Federico Iuricich
Bibliographic Information
Book Title: Morphological Modeling of Terrains and Volume Data
Authors: Lidija Čomić, Leila De Floriani, Paola Magillo, Federico Iuricich
