4. Morphological Models for Shape Description and Minkowski Operators

  1. Pijush K. Ghosh1 and
  2. Koichiro Deguchi2

Published Online: 28 JAN 2010

DOI: 10.1002/9780470823095.ch4

Mathematics of Shape Description: A Morphological Approach to Image Processing and Computer Graphics

Mathematics of Shape Description: A Morphological Approach to Image Processing and Computer Graphics

How to Cite

Ghosh, P. K. and Deguchi, K. (2008) Morphological Models for Shape Description and Minkowski Operators, in Mathematics of Shape Description: A Morphological Approach to Image Processing and Computer Graphics, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470823095.ch4

Author Information

  1. 1

    National Centre for Software Technology (now Centre for Development of Advanced Computing), India

  2. 2

    Graduate School of Information Sciences, Tohoku University, Japan

Publication History

  1. Published Online: 28 JAN 2010
  2. Published Print: 26 MAR 2008

ISBN Information

Print ISBN: 9780470823071

Online ISBN: 9780470823095

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Keywords:

  • morphological models for shape description and Minkowski operators;
  • shape description modeling objective;
  • simple shape model - using Minkowski addition and decomposition operators;
  • Minkowski operator suitability as shape operators;
  • basic idea of model description;
  • shape operator selection - task defining shape grammar;
  • Minkowski decomposition operator;
  • Minkowski operations and image analysis;
  • nonconvexity of shape and decomposition operator role;
  • geometric modeling by Minkowski operations

Summary

This chapter contains sections titled:

  • The Objective of Shape Description Modeling

  • The Basic Idea of Model Description

  • The Mathematical Nature of the Shape Operators

  • A Few Reasons for Choosing Minkowski Operators as Shape Operators

  • Geometric Modeling by Minkowski Operations

  • Image Analysis by Minkowski Operations

  • The Wealth and Potential of the Minkowski Operators