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IMAMS
2003
114views Mathematics» more  IMAMS 2003»
13 years 7 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
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 ...
ICIP
2006
IEEE
14 years 7 months ago
Image Manifold Interpolation using Free-Form Deformations
An important class of image data sets depict an object undergoing deformation. When there are only a few underlying causes of the deformation, these images have a natural lowdimen...
Richard Souvenir, Qilong Zhang, Robert Pless
SDM
2007
SIAM
182views Data Mining» more  SDM 2007»
13 years 7 months ago
Distance Preserving Dimension Reduction for Manifold Learning
Manifold learning is an effective methodology for extracting nonlinear structures from high-dimensional data with many applications in image analysis, computer vision, text data a...
Hyunsoo Kim, Haesun Park, Hongyuan Zha
WSCG
2003
154views more  WSCG 2003»
13 years 7 months ago
Direction Fields over Point-Sampled Geometry
We describe techniques to establish local frames over point-sampled manifold surfaces. The tangential alignment of local frames is determined using a wave front algorithm starting...
Marc Alexa, Tobias Klug, Carsten Stoll