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» Manifold splines
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SMA
2008
ACM
145views Solid Modeling» more  SMA 2008»
13 years 5 months ago
User-controllable polycube map for manifold spline construction
Hongyu Wang, Miao Jin, Ying He 0001, Xianfeng Gu, ...
IMAMS
2003
114views Mathematics» more  IMAMS 2003»
13 years 6 months ago
Parameterizing N-Holed Tori
We define a parameterization for an n-holed tori based on the hyperbolic polygon. We model the domain using a manifold with 2n+ 2 charts, and linear fractional transformations for...
Cindy Grimm, John F. Hughes
IMAMS
2007
108views Mathematics» more  IMAMS 2007»
13 years 6 months ago
Scattered Data Fitting on Surfaces Using Projected Powell-Sabin Splines
We present C1 methods for either interpolating data or for fitting scattered data associated with a smooth function on a two-dimensional smooth manifold Ω embedded into R3 . The ...
Oleg Davydov, Larry L. Schumaker
GMP
2006
IEEE
154views Solid Modeling» more  GMP 2006»
13 years 11 months ago
Manifold T-Spline
This paper develops the manifold T-splines, which naturally extend the concept and the currently available algorithms/techniques of the popular planar tensor-product NURBS and T-sp...
Ying He 0001, Kexiang Wang, Hongyu Wang, Xianfeng ...
CAD
2008
Springer
13 years 5 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...