Nonlocal surface fairing

Authors:
Serena Morigi;Marco Rucci;Fiorella Sgallari
Affiliations:
Department of Mathematics-CIRAM, University of Bologna, Bologna, Italy;Department of Mathematics-CIRAM, University of Bologna, Bologna, Italy;Department of Mathematics-CIRAM, University of Bologna, Bologna, Italy
Venue:
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Year:
2011

Citing 11
Cited 0

Implicit fairing of irregular meshes using diffusion and curvature flow

Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Geometric surface processing via normal maps

ACM Transactions on Graphics (TOG)
Convergent Discrete Laplace-Beltrami Operators over Triangular Surfaces

GMP '04 Proceedings of the Geometric Modeling and Processing 2004
A finite element method for surface restoration with smooth boundary conditions

Computer Aided Geometric Design
A Non-Local Algorithm for Image Denoising

CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 2 - Volume 02
Smoothing by Example: Mesh Denoising by Averaging with Similarity-Based Weights

SMI '06 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2006
Discrete surface modelling using partial differential equations

Computer Aided Geometric Design
Geometric surface evolution with tangential contribution

Journal of Computational and Applied Mathematics
Geometric fairing of irregular meshes for free-form surface design

Computer Aided Geometric Design
Noise removal using smoothed normals and surface fitting

IEEE Transactions on Image Processing
Nonlocal Mumford-Shah Regularizers for Color Image Restoration

IEEE Transactions on Image Processing

Quantified Score

Hi-index	0.00

Visualization

Abstract

We propose a new variational model for surface fairing. We extend nonlocal smoothing techniques for image regularization to surface smoothing or fairing, with surfaces represented by triangular meshes. Our method is able to smooth the surfaces and preserve features due to geometric similarities using a mean curvature based local geometric descriptor. We present an efficient two step approach that first smoothes the mean curvature normal map, and then corrects the surface to fit the smoothed normal field. This leads to a fast implementation of a feature preserving fourth order geometric flow. We demonstrate the efficacy of the model with several surface fairing examples.