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» Optimally cutting a surface into a disk
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CAGD
2002
102views more  CAGD 2002»
13 years 7 months ago
Optimal slicing of free-form surfaces
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...
CVPR
2009
IEEE
15 years 2 months ago
Shape Analysis with Conformal Invariants for Multiply Connected Domains and its Application to Analyzing Brain Morphology
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...
TVCG
2011
136views more  TVCG 2011»
13 years 2 months ago
Interactive Mesh Cutting Using Constrained Random Walks
—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...
Juyong Zhang, Jianmin Zheng, Jianfei Cai
SMI
2006
IEEE
121views Image Analysis» more  SMI 2006»
14 years 1 months ago
Minimum Ratio Contours on Surface Meshes
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 ...
Andrew Clements, Hao Zhang 0002
STOC
2009
ACM
144views Algorithms» more  STOC 2009»
14 years 8 months ago
Homology flows, cohomology cuts
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...
Erin W. Chambers, Jeff Erickson, Amir Nayyeri