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IMAMS
2007
119views Mathematics» more  IMAMS 2007»
8 years 7 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
115views Mathematics» more  IMAMS 2007»
8 years 7 months ago
Segmenting Periodic Reliefs on Triangle Meshes
Decorative reliefs are widely used for e.g. packaging and porcelain design. In periodic reliefs, the relief repeats a pattern, for example all the way around an underlying surface...
Shenglan Liu, Ralph R. Martin, Frank C. Langbein, ...
IMAMS
2007
245views Mathematics» more  IMAMS 2007»
8 years 7 months ago
Discrete Surface Ricci Flow: Theory and Applications
Conformal geometry is in the core of pure mathematics. Conformal structure is more flexible than Riemaniann metric but more rigid than topology. Conformal geometric methods have p...
Miao Jin, Junho Kim, Xianfeng David Gu
IMAMS
2007
133views Mathematics» more  IMAMS 2007»
8 years 7 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
180views Mathematics» more  IMAMS 2007»
8 years 7 months ago
Implicit Boundary Control of Vector Field Based Shape Deformations
We present a shape deformation approach which preserves volume, prevents self-intersections and allows for exact control of the deformation impact. The volume preservation and prev...
Wolfram von Funck, Holger Theisel, Hans-Peter Seid...
IMAMS
2007
108views Mathematics» more  IMAMS 2007»
8 years 7 months ago
Scattered Data Fitting on Surfaces Using Projected Powell-Sabin Splines
We present C1 methods for either interpolating data or for fitting scattered data associated with a smooth function on a two-dimensional smooth manifold Ω embedded into R3 . The ...
Oleg Davydov, Larry L. Schumaker
IMAMS
2007
151views Mathematics» more  IMAMS 2007»
8 years 7 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...
IMAMS
2007
157views Mathematics» more  IMAMS 2007»
8 years 7 months ago
Regularity Criteria for the Topology of Algebraic Curves and Surfaces
In this paper, we consider the problem of analysing the shape of an object defined by polynomial equations in a domain. We describe regularity criteria which allow us to determine...
Lionel Alberti, Bernard Mourrain
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