Split Bregman’s algorithm for three-dimensional mesh segmentation

Nabi Habiba; Douik Ali

doi:10.1117/1.JEI.25.3.033011

7 June 2016 Split Bregman’s algorithm for three-dimensional mesh segmentation

Nabi Habiba, Douik Ali

Author Affiliations +

Journal of Electronic Imaging, Vol. 25, Issue 3, 033011 (June 2016). https://doi.org/10.1117/1.JEI.25.3.033011

Abstract

Variational methods have attracted a lot of attention in the literature, especially for image and mesh segmentation. The methods aim at minimizing the energy to optimize both edge and region detections. We propose a spectral mesh decomposition algorithm to obtain disjoint but meaningful regions of an input mesh. The related optimization problem is nonconvex, and it is very difficult to find a good approximation or global optimum, which represents a challenge in computer vision. We propose an alternating split Bregman algorithm for mesh segmentation, where we extended the image-dedicated model to a three-dimensional (3-D) mesh one. By applying our scheme to 3-D mesh segmentation, we obtain fast solvers that can outperform various conventional ones, such as graph-cut and primal dual methods. A consistent evaluation of the proposed method on various public domain 3-D databases for different metrics is elaborated, and a comparison with the state-of-the-art is performed.

Citation Download Citation

Nabi Habiba and Douik Ali "Split Bregman’s algorithm for three-dimensional mesh segmentation," Journal of Electronic Imaging 25(3), 033011 (7 June 2016). https://doi.org/10.1117/1.JEI.25.3.033011

Published: 7 June 2016

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