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- Ulrich Clarenz, Udo Diewald, Martin Rumpf
- Proceedings Visualization 2000. VIS 2000 (Cat. Noâ€¦
- 2000

A new multiscale method in surface processing is presented which combines the image processing methodology based on nonlinear diffusion equations and the theory of geometric evolution problems. Itsâ€¦ (More)

- Ulrich Clarenz, Udo Diewald, G. Dziuk, Martin Rumpf, R. Rusu
- Computer Aided Geometric Design
- 2004

In surface restoration usually a damaged region of a surface has to be replaced by a surface patch which restores the region in a suitable way. In particular one aims for C1-continuity at the patchâ€¦ (More)

A fast multiscale and multigrid method for the matching of images in 2D and 3D is presented. Especially in medical imaging this problem denoted as the registration problem is of fundamentalâ€¦ (More)

- Ulrich Clarenz, Martin Rumpf, Alexandru Telea
- IEEE Transactions on Visualization and Computerâ€¦
- 2004

The stable local classification of discrete surfaces with respect to features such as edges and corners or concave and convex regions, respectively, is as quite difficult as well as indispensable forâ€¦ (More)

- Ulrich Clarenz, Udo Diewald, Martin Rumpf
- IEEE Transactions on Image Processing
- 2004

A multiscale method in surface processing is presented which carries over image processing methodology based on nonlinear diffusion equations to the fairing of noisy, textured, parametric surfaces.â€¦ (More)

- Ulrich Clarenz, Michael Griebel, Martin Rumpf, Marc Alexander Schweitzer, Alexandru Telea
- The Visual Computer
- 2004

A novel editing method for large triangular meshes is presented. We detect surface features, such as edge and corners, by computing local zero and first surface moments, using a robust and noiseâ€¦ (More)

- Ulrich Clarenz
- 2001

In the following paper we study parametric functionals. First we introduce a generalized mean curvature (so called F -mean curvature). This enables us to describe extremals of parametric funcionalsâ€¦ (More)

- Ulrich Clarenz, Nathan Litke, Martin Rumpf
- Computer Aided Geometric Design
- 2004

For a surface patch on a smooth, two-dimensional surface in IR, low-distortion parameterizations are described in terms of minimizers of suitable energy functionals. Appropriate distortion measuresâ€¦ (More)

Hypersurfaces of prescribed weighted mean curvature, or F -mean curvature, are introduced as critical immersions of anisotropic surface energies, thus generalizing minimal surfaces and surfaces ofâ€¦ (More)

1 Institut fÃ¼r Mathematik, Gerhard-Mercator UniversitÃ¤t Duisburg, LotharstraÃŸe 63/65, 47048 Duisburg, Germany {clarenz|droske|rumpf}@math.uni-duisburg.de. 2 Lehrstuhl fÃ¼r Mathematische Optimierung,â€¦ (More)