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IMAMS
2003
93views Mathematics» more  IMAMS 2003»
13 years 6 months ago
Application of PDE Methods to Visualization of Heart Data
Abstract. We apply new methods based on Partial Differential Equations techniques (polysplines) to the visualization of the heart surface.
Ognyan Kounchev, Michael J. Wilson
IMAMS
2003
114views Mathematics» more  IMAMS 2003»
13 years 6 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
IMAMS
2007
133views Mathematics» more  IMAMS 2007»
13 years 6 months ago
Tuning Subdivision Algorithms Using Constrained Energy Optimization
In this paper a method is presented to fair the limit surface of a subdivision algorithm around an extraordinary point. The eigenvalues and eigenvectors of the subdivision matrix d...
Ingo Ginkel, Georg Umlauf
IMAMS
2007
119views Mathematics» more  IMAMS 2007»
13 years 6 months ago
Propagation of Geometric Tolerance Zones in 3D
This paper considers error propagation in three dimensional geometric constructions using a geometric approach. First, we present definitions and constructions of tolerance zones ...
Song-Hai Zhang, Qi-Hui Zhu, Ralph R. Martin
IMAMS
2007
151views Mathematics» more  IMAMS 2007»
13 years 6 months ago
Discrete Harmonic Functions from Local Coordinates
Abstract. In this work we focus on approximations of continuous harmonic functions by discrete harmonic functions based on the discrete Laplacian in a triangulation of a point set....
Tom Bobach, Gerald E. Farin, Dianne Hansford, Geor...