Decomposability and Indecomposability of Binary Shapes: A Theory of Shape Arithmetics

Kohichiro DEGUCHI; Pijush K. GHOSH

doi:10.4036/iis.2005.205

Interdisciplinary Information Sciences

Online ISSN : 1347-6157
Print ISSN : 1340-9050
ISSN-L : 1340-9050

Special Issue on Mathematical Aspects of Image Processing and Computer Vision

Decomposability and Indecomposability of Binary Shapes: A Theory of Shape Arithmetics

Kohichiro DEGUCHI, Pijush K. GHOSH

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Keywords: Shape analysis, Binary shapes, Minkowski operation, Shape decomposition

JOURNAL FREE ACCESS

2005 Volume 11 Issue 2 Pages 205-213

DOI https://doi.org/10.4036/iis.2005.205

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Abstract

We observe that the resemblance between the integer number system with multiplication & division and the system of convex objects with Minkowski addition & decomposition is really striking. We present an idea of the shape decomposition into prime shapes, which are analogue of the prime numbers and indecomposable ones. Here, we concentrate the discussion on binary images, and present some propositions on the indecomposability problem.

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