Fast Marching farthest point sampling for implicit surfaces and point clouds
Carsten Moenning · 2003
In a recent paper [13], the Fast Marching farthest point sampling strategy (FastFPS) for planar domains and curved manifolds was introduced. The version of FastFPS for curved manifolds discussed in the paper [13] deals with surface domains in triangulated form only. Due to a restriction of the underlying Fast Marching method, the algorithm further requires the splitting of any obtuse into acute triangles to ensure the consistency of the Fast Marching approximation. In this paper, we overcome these restrictions by using Memoli and Sapiro's [11, 12] extension of the Fast Marching method to the handling of implicit surfaces and point clouds.