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Adaptivity in 3D image processing

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Computing and Visualization in Science

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.

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Authors and Affiliations

  1. Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, D-10117 Berlin, Germany, , , , , , DE

    Eberhard Bänsch

  2. Department of Mathematics, Slovak University of Technology, Radlinského 11, 813 68 Bratislava, Slovakia, , , , , , SK

    Karol Mikula

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  1. Eberhard Bänsch
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  2. Karol Mikula
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Received: 15 December 1999 / Accepted: 8 June 2001

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Bänsch, E., Mikula, K. Adaptivity in 3D image processing. Comput Visual Sci 4, 21–30 (2001). https://doi.org/10.1007/s007910100053

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  • DOI: https://doi.org/10.1007/s007910100053

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