An Optimal Transport Approach to Robust Reconstruction and Simplification of 2D Shapes

作者:de Goes Fernando*; Cohen Steiner David; Alliez Pierre; De**run Mathieu
来源:Computer Graphics Forum, 2011, 30(5): 1593-1602.
DOI:10.1111/j.1467-8659.2011.02033.x

摘要

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.

  • 出版日期2011-8
  • 单位INRIA