Morphological Modeling of Terrains and Volume Data

  • Lidija Čomić
  • Leila De Floriani
  • Paola Magillo
  • Federico Iuricich

Part of the SpringerBriefs in Computer Science book series (BRIEFSCOMPUTER)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Lidija Čomić, Leila De Floriani, Paola Magillo, Federico Iuricich
    Pages 1-23
  3. Lidija Čomić, Leila De Floriani, Paola Magillo, Federico Iuricich
    Pages 25-36
  4. Lidija Čomić, Leila De Floriani, Paola Magillo, Federico Iuricich
    Pages 37-58
  5. Lidija Čomić, Leila De Floriani, Paola Magillo, Federico Iuricich
    Pages 59-68
  6. Lidija Čomić, Leila De Floriani, Paola Magillo, Federico Iuricich
    Pages 69-88
  7. Lidija Čomić, Leila De Floriani, Paola Magillo, Federico Iuricich
    Pages 89-104
  8. Lidija Čomić, Leila De Floriani, Paola Magillo, Federico Iuricich
    Pages 105-116

About this book

Introduction

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.

Keywords

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

Authors and affiliations

  • Lidija Čomić
    • 1
  • Leila De Floriani
    • 2
  • Paola Magillo
    • 3
  • Federico Iuricich
    • 4
  1. 1.Department for Fundamental Disciplines, Faculty of Technical SciencesUniversity of Novi SadNovi SadSerbia
  2. 2.Department of Computer Science, Bioengineering, Robotics and Systems EngineeringUniversity of GenovaGenovaItaly
  3. 3.Department of Computer Science, Bioengineering, Robotics and Systems EngineeringUniversity of GenovaGenovaItaly
  4. 4.Department of Computer ScienceUniversity of MarylandCollege ParkUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4939-2149-2
  • Copyright Information The Author(s) 2014
  • Publisher Name Springer, New York, NY
  • eBook Packages Computer Science
  • Print ISBN 978-1-4939-2148-5
  • Online ISBN 978-1-4939-2149-2
  • Series Print ISSN 2191-5768
  • Series Online ISSN 2191-5776
  • About this book
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