Computation of image representation based on active triangular meshes through geometrical surface evolution

Lilian Labelle; Henri Sanson

doi:10.1117/12.263296

10 January 1997 Computation of image representation based on active triangular meshes through geometrical surface evolution

Lilian Labelle, Henri Sanson

Author Affiliations +

Proceedings Volume 3024, Visual Communications and Image Processing '97; (1997) https://doi.org/10.1117/12.263296
Event: Electronic Imaging '97, 1997, San Jose, CA, United States

Abstract

This paper addresses the problem of the representation of images and video objects of arbitrary shape with surface models based on active meshes. Usually, such a control point optimization relies on the mean squares error between the original signal and the model. However, the computation of such a criterion implies to parametrize both the original and the model surfaces and it turns out that on the one hand, the parametrization of the original and model manifolds are independent, and on the other hand that many choices exist. Thus, this approach provides a solution according to these choices and if we change these, we change the approximation result. To avoid this problem, we developed an iterative method based on the surface evolution theory which computes the 3D control points according to the minimization of a purely geometric criterion. In this paper, we illustrate the use of such an approach computing an adaptive mesh-based representation of an image surface. This approach is particularly suited both for compression and for manipulations such as spatial scalability and more general geometric transformations.

Citation Download Citation

Lilian Labelle and Henri Sanson "Computation of image representation based on active triangular meshes through geometrical surface evolution", Proc. SPIE 3024, Visual Communications and Image Processing '97, (10 January 1997); https://doi.org/10.1117/12.263296

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