An Optimal Transport Approach to Robust Reconstruction and Simplification of 2D Shapes
Loading...
Date
2011
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and Blackwell Publishing Ltd.
Abstract
We propose a robust 2D shape reconstruction and simplification algorithm which takes as input a defect-laden point set with noise and outliers. We introduce an optimal-transport driven approach where the input point set, considered as a sum of Dirac measures, is approximated by a simplicial complex considered as a sum of uniform measures on 0- and 1-simplices. A fine-to-coarse scheme is devised to construct the resulting simplicial complex through greedy decimation of a Delaunay triangulation of the input point set. Our method performs well on a variety of examples ranging from line drawings to grayscale images, with or without noise, features, and boundaries.
Description
@article{:10.1111/j.1467-8659.2011.02033.x,
journal = {Computer Graphics Forum},
title = {{An Optimal Transport Approach to Robust Reconstruction and Simplification of 2D Shapes}},
author = {Goes, Fernando de and Cohen-Steiner, David and Alliez, Pierre and Desbrun, Mathieu},
year = {2011},
publisher = {The Eurographics Association and Blackwell Publishing Ltd.},
ISSN = {1467-8659},
DOI = {/10.1111/j.1467-8659.2011.02033.x}
}