Many applications, such as contour machining, rapid prototyping, and reverse engineering by laser scanner or coordinate measuring machine, involve sampling of free-from surfaces a...
Tait S. Smith, Rida T. Farouki, Mohammad al-Kandar...
All surfaces can be classified by the conformal equivalence
relation. Conformal invariants, which are shape indices
that can be defined intrinsically on a surface, may
be used t...
Paul M. Thompson, Tony F. Chan, Xianfeng Gu, Yalin...
—This paper considers the problem of interactively finding the cutting contour to extract components from an existing mesh. First, we propose a constrained random walks algorith...
We present a novel approach for discretely optimizing contours on the surface of a triangle mesh. This is achieved through the use of a minimum ratio cycle (MRC) algorithm, where ...
We describe the first algorithm to compute maximum flows in surface-embedded graphs in near-linear time. Specifically, given a graph embedded on a surface of genus g, with two spe...