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» On geometric interpolation of circle-like curves
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TOG
2002
116views more  TOG 2002»
13 years 7 months ago
Linear combination of transformations
Geometric transformations are most commonly represented as square matrices in computer graphics. Following simple geometric arguments we derive a natural and geometrically meaning...
Marc Alexa
IJCV
2006
166views more  IJCV 2006»
13 years 7 months ago
Fast Constrained Surface Extraction by Minimal Paths
A new approach performing surface extraction from 3D images under user defined geometrical constraints is presented. The constraints are introduced through boundary curves given by...
Roberto Ardon, Laurent D. Cohen
ALENEX
2003
139views Algorithms» more  ALENEX 2003»
13 years 9 months ago
Interpolation over Light Fields with Applications in Computer Graphics
We present a data structure, called a ray interpolant tree, or RI-tree, which stores a discrete set of directed lines in 3-space, each represented as a point in 4-space. Each dire...
F. Betul Atalay, David M. Mount
CAD
2005
Springer
13 years 7 months ago
Modeling generalized cylinders using direction map representation
For generalized cylinders (GC) defined by contours of discrete curves, we propose two algorithms to generate GC surfaces (1) in polygonal meshes and (2) in cylindrical type of dev...
Joo-Haeng Lee
CAGD
2005
112views more  CAGD 2005»
13 years 7 months ago
Estimating differential quantities using polynomial fitting of osculating jets
This paper addresses the point-wise estimation of differential properties of a smooth manifold S--a curve in the plane or a surface in 3D--assuming a point cloud sampled over S is...
Frédéric Cazals, Marc Pouget