SBL Mesh Filter: A Fast Separable Approximation of Bilateral Mesh Filtering

Vialaneix, Guillaume; Boubekeur, Tamy

SBL Mesh Filter: A Fast Separable Approximation of Bilateral Mesh Filtering

Files

097-103.pdf (1.02 MB)

Date

2011

Authors

Vialaneix, Guillaume
Boubekeur, Tamy

Publisher

The Eurographics Association

Abstract

Bilateral mesh filtering is a simple and powerful feature-preserving filtering operator which allows to smooth or remove noise from surface meshes while preserving important features in a non-iterative way. However, to be effective, such a filter may require quite a large support size, inducing slow processing when applied on high resolution meshes such as the ones produced by automatic 3D acquisition devices. In this paper, we propose a separable approximation of bilateral mesh filtering based on a local decomposition of the bi-dimensional filter into a product of two one-dimensional ones. In particular, we show that this approximation leads to piecewise smooth surfaces which are very close to the ones produced by the exact filter, using only a fraction of the usual required time. Compared to bilateral image filtering, the main problem here is to find meaningful directions at every point to orient the two one-dimensional filters. Our solution exploits the minimum and maximum curvature directions at each point and demonstrates a significant speed-up on meshes ranging from thousands to millions of elements, enabling feature-preserving filtering with large support size in a variety of practical scenarii. Our approach is simple, easy to implement and orthogonal to other kinds of optimizations such as higher dimensional clustering using a bilateral grid or a Gaussian kd-tree and can therefore be combined to them to reach even higher performance.

        @inproceedings{:10.2312/PE/VMV/VMV11/097-103
,
booktitle = {Vision, Modeling, and Visualization (2011)
},
editor = {Peter Eisert and Joachim Hornegger and Konrad Polthier
},
title = {{SBL Mesh Filter: A Fast Separable Approximation of Bilateral Mesh Filtering
}},
author = {Vialaneix, Guillaume and 
Boubekeur, Tamy
},
year = {2011
},
publisher = {The Eurographics Association
},
ISBN = {978-3-905673-85-2
},
DOI = {/10.2312/PE/VMV/VMV11/097-103
}
}