New operator for determining surface shapes

Phongsuphap Sukanya; Ryo Takamatsu; Makoto Sato

doi:10.1117/12.251809

30 September 1996 New operator for determining surface shapes

Phongsuphap Sukanya, Ryo Takamatsu, Makoto Sato

Proceedings Volume 2826, Vision Geometry V; (1996) https://doi.org/10.1117/12.251809
Event: SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, 1996, Denver, CO, United States

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.

Citation Download Citation

Phongsuphap Sukanya, Ryo Takamatsu, and Makoto Sato "New operator for determining surface shapes", Proc. SPIE 2826, Vision Geometry V, (30 September 1996); https://doi.org/10.1117/12.251809

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