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» Manifold splines
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SIBGRAPI
2000
IEEE
13 years 11 months ago
Semi-Regular 4-8 Refinement and Box Spline Surfaces
Abstract. In this paper we introduce a new mesh refinement method for subdivision surfaces. It generates a semiregular 4-direction hierarchical structure from control meshes repres...
Luiz Velho
SIAMIS
2010
152views more  SIAMIS 2010»
13 years 2 months ago
Nonparametric Regression between General Riemannian Manifolds
We study nonparametric regression between Riemannian manifolds based on regularized empirical risk minimization. Regularization functionals for mappings between manifolds should re...
Florian Steinke, Matthias Hein, Bernhard Schö...
SMI
2010
IEEE
204views Image Analysis» more  SMI 2010»
13 years 5 months ago
Generalized PolyCube Trivariate Splines
Abstract—This paper develops a new trivariate hierarchical spline scheme for volumetric data representation. Unlike conventional spline formulations and techniques, our new frame...
Bo Li, Xin Li, Kexiang Wang, Hong Qin
SMI
2005
IEEE
111views Image Analysis» more  SMI 2005»
14 years 1 months ago
Rational Spherical Splines for Genus Zero Shape Modeling
Traditional approaches for modeling a closed manifold surface with either regular tensor-product or triangular splines (defined over an open planar domain) require decomposing th...
Ying He 0001, Xianfeng Gu, Hong Qin
SIGGRAPH
1995
ACM
13 years 11 months ago
Modeling surfaces of arbitrary topology using manifolds
We describe an extension of B-splines to surfacesof arbitrary topology, including arbitrary boundaries. The technique inherits many of the properties of B-splines: local control, ...
Cindy Grimm, John F. Hughes