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IMAMS
2003
114views Mathematics» more  IMAMS 2003»
14 years 11 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»
15 years 3 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
15 years 11 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»
14 years 11 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»
14 years 11 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