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» Computational geometry for sculpture
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FOCS
2008
IEEE
13 years 8 months ago
Market Equilibria in Polynomial Time for Fixed Number of Goods or Agents
We consider markets in the classical Arrow-Debreu model. There are n agents and m goods. Each buyer has a concave utility function (of the bundle of goods he/she buys) and an init...
Nikhil R. Devanur, Ravi Kannan
CAD
2008
Springer
13 years 8 months ago
Polycube splines
This paper proposes a new concept of polycube splines and develops novel modeling techniques for using the polycube splines in solid modeling and shape computing. Polycube splines...
Hongyu Wang, Ying He 0001, Xin Li, Xianfeng Gu, Ho...
CGF
2008
173views more  CGF 2008»
13 years 8 months ago
A Local/Global Approach to Mesh Parameterization
We present a novel approach to parameterize a mesh with disk topology to the plane in a shape-preserving manner. Our key contribution is a local/global algorithm, which combines a...
Ligang Liu, Lei Zhang, Yin Xu, Craig Gotsman, Stev...
SMA
2008
ACM
149views Solid Modeling» more  SMA 2008»
13 years 8 months ago
Exact arrangements on tori and Dupin cyclides
An algorithm and implementation is presented to compute the exact arrangement induced by arbitrary algebraic surfaces on a parametrized ring Dupin cyclide. The family of Dupin cyc...
Eric Berberich, Michael Kerber
CAD
2005
Springer
13 years 8 months ago
Surface interpolation of meshes by geometric subdivision
Subdivision surfaces are generated by repeated approximation or interpolation from initial control meshes. In this paper, two new nonlinear subdivision schemes, face based subdivi...
Xunnian Yang