An high order finite co-volume scheme for denoising using radial basis functions

Authors:
Serena Morigi;Fiorella Sgallari
Affiliations:
Department of Mathematics, CIRAM, University of Bologna, Bologna, Italy;Department of Mathematics, CIRAM, University of Bologna, Bologna, Italy
Venue:
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Year:
2007

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Abstract

In this work we investigate finite co-volume methods for solving Partial Differential Equation (PDE) based diffusion models for noise removal in functional surfaces. We generalized the model proposed by Tai et al. [1][2] based on the reconstruction of a noise-reduced surface from the smoothed normal field, considering a curvature preserving term. The discretization of the PDE model by basic finite co-volume schemes on unstructured grids is investigated. The accuracy of the numerical model is then improved by using an higher order optimal recovery based on Radial Basis Functions (RBF). Preliminary numerical results demonstrate the effectiveness of the new numerical approach.