Mathematics of Shape Description by K Deguchi

Explains the fundamental and advanced relationships between algebraic system and shape description through the set-theoretic approach. This book provides a shape description scheme that is a notational system for the shape of objects. It offers a discussion on the mathematical characteristics and significance of the Minkowski operators. Top page

Complete description

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 explains the fundamental and advanced relationships between algebraic system and shape description through the set-theoretic approach. It promotes interaction of image processing geochronology and mathematics in the field of algebraic geometry. It provides a shape description scheme that is a notational system for the shape of objects. It offers a thorough and detailed discussion on the mathematical characteristics and significance of the Minkowski operators. "Mathematics of Shape Description" 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. Top page

General info

Publisher & Imprint: Wiley-Blackwell (an imprint of John Wiley & Sons Ltd)

City: Chicester

Pages: 264

More info: weight 1000 gr

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Age recommended: Professional and scholarly

Subject Indexing & Classification Dewey: 621.367

Summary Mathematics of Shape Description 1. In Search Of A Framework For Shape Description. 2. Sets And Functions For Shape Description. Algebraic Structures For Shape Descriptions. 3. Morphological Models For Shape Description And Minkowski Operators. 4. Arithmetics Of Geometric Shape. 5. Morphological Operations Of Nonconvex Objects. Bibliography. Top page

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