ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. 70, 1 (2001)
pp. 15-31

DIFFUSION MODELS AND THEIR ACCELERATED SOLUTION IN IMAGE AND SURFACE PROCESSING
U. DIEWALD, T. PREUSSER, M. RUMPF and R. STRZODKA

Abstract. During the last decade nonlinear anisotropic diffusion models have shown to be powerful methods not only in image processing. Moreover these methodologies can be adopted to other areas in computer vision. On the level of the continuous model one can study the qualitative aspects and properties whereas approved discretization schemes are at hand for an efficient implementation. In this paper we discuss several anisotropic diffusion methods and outline a novel technique for geometric surface processing. Moreover we will show how the solution process can be accelerated significantly by using texture hardware of modern graphics cards, making use of the much better memory bandwidth and the built-in parallelism.

AMS subject classification. Primary 65M60, 65Y10
Keywords. Hardware accelerated solver, image processing, level set method, multiscale, nonlinear diffusion, surface processing, vector field visualization

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Acta Mathematica Universitatis Comenianae
Institute of Applied Mathematics
Faculty of Mathematics, Physics and Informatics
Comenius University
842 48 Bratislava, Slovak Republic
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