Erd˝os, Purdy, and Straus conjectured that the number of distinct (nonzero) areas of the triangles determined by n noncollinear points in the plane is at least n−1 2 , which is...
We present a method to incrementally voxelize triangles into a volumetric dataset with pre-filtering, generating an accurate multivalued voxelization. Multivalued voxelization all...
Let H be a fixed directed graph on h vertices, let G be a directed graph on n vertices and suppose that at least n2 edges have to be deleted from it to make it H-free. We show tha...
In this paper, we describe an algorithm called Fast Marching Watersheds that segments a triangle mesh into visual parts. This computer vision algorithm leverages a human vision th...
This paper presents a new and efficient algorithm for decomposition of 3D arbitrary triangle mesh into surface patches. Our method is based on the curvature tensor field analysis ...