PMID: 15376945Sep 21, 2004Paper

Processing textured surfaces via anisotropic geometric diffusion

IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
Ulrich ClarenzMartin Rumpf

Abstract

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. The aim is to smooth noisy, triangulated surfaces and accompanying noisy textures-as they are delivered by new scanning technology-while enhancing geometric and texture features. For an initial textured surface a fairing method is described which simultaneously processes the texture and the surface. Considering an appropriate coupling of the two smoothing processes one can take advantage of the frequently present strong correlation between edge features in the texture and on the surface edges. The method is based on an anisotropic curvature evolution of the surface itself and an anisotropic diffusion on the processed surface applied to the texture. Here, the involved diffusion tensors depends on a regularized shape operator of the evolving surface and on regularized texture gradients. A spatial finite element discretization on arbitrary unstructured triangular grids and a semi-implicit finite difference discretization in time are the building blocks of the corresponding numerical algorithm. A normal projection is applied to the discr...Continue Reading

References

Feb 16, 2008·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·J WeickertM A Viergever

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Citations

Jan 17, 2008·Medical Physics·Feng ZhugeSandy Napel
Nov 15, 2005·Computer Methods in Applied Mechanics and Engineering·Yongjie ZhangBong-Soo Sohn
Jun 21, 2011·Graphical Models·Jun Wang, Zeyun Yu
Sep 11, 2007·Medical Image Analysis·Andre SouzaAnant Madabhushi
Dec 7, 2013·International Journal for Numerical Methods in Biomedical Engineering·Zhihong MaoXiongbing Li
May 9, 2009·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Anand A JoshiRichard M Leahy
Apr 5, 2007·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Ying Zhang, A Ben Hamza
Jun 6, 2007·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Alon SpiraNir Sochen
Apr 4, 2009·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Andrei C Jalba, Jos B T M Roerdink
Feb 1, 2006·Computer Aided Geometric Design·Guoliang XuChandrajit L Bajaj
Aug 11, 2015·Journal of Advanced Research·Giuseppe Patané
Jul 25, 2018·Sensors·Ibrahim Salim, A Ben Hamza

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