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

Front Cover
Image processing problems are often not well defined because realimages are contaminated with noise and other uncertain factors. InMathematics of Shape Description, the authors take amathematical approach to address these problems using themorphological and set-theoretic approach to image processing andcomputer graphics by presenting a simple shape model using twobasic shape operators called Minkowski addition and decomposition.

This book is ideal for professional researchers and engineers inInformation Processing, Image Measurement, Shape Description, ShapeRepresentation and Computer Graphics. Post-graduate and advancedundergraduate students in pure and applied mathematics, computersciences, robotics and engineering will also benefit from thisbook.

 Key Features

  • Explains the fundamental and advanced relationships betweenalgebraic system and shape description through the set-theoreticapproach
  • Promotes interaction of image processing geochronology andmathematics in the field of algebraic geometry
  • Provides a shape description scheme that is a notational systemfor the shape of objects
  • Offers a thorough and detailed discussion on the mathematicalcharacteristics and significance of the Minkowski operators

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About the author (2008)

Koichiro Deguchi is a Professor of Graduate School of Information Sciences, Tohoku University, Japan. His field of interest includes image measurement, image processing, computer vision, robot vision and information science.

Pijush K. Ghosh was a Senior Researcher at the National Centre for Software Technology of India when he died from brain cancer. His field of interest was shape description and analysis, mathematical morphology, image processing, vision, computer graphics and computational geometry.

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