Image processing problems are often not well defined because real images are contaminated with noise and other uncertain factors. In Mathematics of Shape Description, the authors take a mathematical approach to address these problems using the morphological and set-theoretic approach to image processing and computer graphics by presenting a simple shape model using two basic shape operators called Minkowski addition and decomposition. This book is ideal for professional researchers and engineers in Information Processing, Image Measurement, Shape Description, Shape Representation and Computer Graphics. Post-graduate and advanced undergraduate students in pure and applied mathematics, computer sciences, robotics and engineering will also benefit from this book.
Explains the fundamental and advanced relationships between algebraic system and shape description through the set-theoretic approach
Promotes interaction of image processing geochronology and mathematics in the field of algebraic geometry
Provides a shape description scheme that is a notational system for the shape of objects
Offers a thorough and detailed discussion on the mathematical characteristics and significance of the Minkowski operators
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.