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Proceedings Paper

New operator for determining surface shapes
Author(s): Phongsuphap Sukanya; Ryo Takamatsu; Makoto Sato
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Paper Abstract

In this paper, we propose a new operator called the Surface- Shape operator (SS-operator) for determining local surface shape, and use it for analyzing image structure. We consider an image function as a bivariate surface, then describe a shape of each pixel comparing with its neighborhood. In a geometry viewpoint, types of surface shapes are elliptic, hyperbolic, parabolic, etc. Here, we label them based on topographical structure and used a statistic approach to measure spatial distribution of these shapes overall the surface. The Surface-Shape operator is established by utilizing the eigenvalues of Hessian of an image function. We show how to derive this operator and its interesting properties, and give examples to demonstrate its usefulness in practical uses. Finally, we illustrate its roles for describing texture images by using co-occurrence matrices, a statistical measure, to represent its numerical description, and show its good performance for suppressing shading effects as well.

Paper Details

Date Published: 30 September 1996
PDF: 8 pages
Proc. SPIE 2826, Vision Geometry V, (30 September 1996); doi: 10.1117/12.251809
Show Author Affiliations
Phongsuphap Sukanya, Tokyo Institute of Technology (Japan)
Ryo Takamatsu, Tokyo Institute of Technology (Japan)
Makoto Sato, Tokyo Institute of Technology (Japan)

Published in SPIE Proceedings Vol. 2826:
Vision Geometry V
Robert A. Melter; Angela Y. Wu; Longin Jan Latecki, Editor(s)

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