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» Modeling surfaces of arbitrary topology using manifolds
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3DOR
2009
15 years 3 months ago
Template Based Shape Descriptor
We introduce a new 3D shape descriptor which maps the surface features onto an arbitrary template surface using mean-value interpolation. A compact numerical shape descriptor is e...
Raif M. Rustamov
88
Voted
IMAMS
2003
114views Mathematics» more  IMAMS 2003»
15 years 3 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
TOG
2012
215views Communications» more  TOG 2012»
13 years 4 months ago
Dual loops meshing: quality quad layouts on manifolds
We present a theoretical framework and practical method for the automatic construction of simple, all-quadrilateral patch layouts on manifold surfaces. The resulting layouts are c...
Marcel Campen, David Bommes, Leif Kobbelt
ICCV
2003
IEEE
16 years 3 months ago
Surface Classification Using Conformal Structures
3D surface classification is a fundamental problem in computer vision and computational geometry. Surfaces can be classified by different transformation groups. Traditional classi...
Xianfeng Gu, Shing-Tung Yau
120
Voted
VMV
2000
116views Visualization» more  VMV 2000»
15 years 3 months ago
Quadrilateral Remeshing
The use of polygonal meshes, especially triangle meshes, is manifold but a lot of algorithms require the mesh to be structured in a certain way and cannot be applied to an arbitra...
Kai Hormann, Günther Greiner