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» Conformal Mapping in Linear Time
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DCG
2010
67views more  DCG 2010»
13 years 11 months ago
Conformal Mapping in Linear Time
Given any > 0 and any planar region bounded by a simple n-gon P we construct a (1 + )-quasiconformal map between and the unit disk in time C()n. One can take C() = C + C log ...
Christopher J. Bishop
PR
2007
170views more  PR 2007»
13 years 10 months ago
Conformal spherical representation of 3D genus-zero meshes
This paper describes an approach of representing 3D shape by using a set of invariant Spherical Harmonic (SH) coefficients after conformal mapping. Specifically, a genus-zero 3D ...
Hongdong Li, Richard I. Hartley
SGP
2003
14 years 7 days ago
Global Conformal Parameterization
We solve the problem of computing global conformal parameterizations for surfaces with nontrivial topologies. The parameterization is global in the sense that it preserves the con...
Xianfeng Gu, Shing-Tung Yau
ISBI
2004
IEEE
14 years 11 months ago
Cortical Surface Flattening Using Least Square Conformal Mapping with Minimal Metric Distortion
Although flattening a cortical surface necessarily introduces metric distortion due to the non-constant Gaussian curvature of the surface, the Riemann Mapping Theorem states that ...
Lili Ju, Josh Stern, Kelly Rehm, Kirt Schaper, Dav...
GMP
2008
IEEE
161views Solid Modeling» more  GMP 2008»
14 years 5 months ago
Slit Map: Conformal Parameterization for Multiply Connected Surfaces
Surface parameterization is a fundamental tool in geometric modeling and processing. Most existing methods deal with simply connected disks. This work introduces a novel method to ...
Xiaotian Yin, Junfei Dai, Shing-Tung Yau, Xianfeng...