Adaptivity in 3D image processing |
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| Authors: | Eberhard Bänsch Karol Mikula |
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| Affiliation: | (1) Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, D-10117 Berlin, Germany, DE;(2) Department of Mathematics, Slovak University of Technology, Radlinského 11, 813 68 Bratislava, Slovakia, SK |
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| Abstract: | We present an adaptive numerical scheme for computing the nonlinear partial differential equations arising in 3D image multiscale
analysis. The scheme is based on a semi-implicit scale discretization and on an adaptive finite element method in 3D-space.
Successive coarsening of the computational grid is used for increasing the efficiency of the numerical procedure. L∞-stability of the semi–discrete scheme is proved and computational results related to 3D nonlinear image filtering are discussed.
Received: 15 December 1999 / Accepted: 8 June 2001 |
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