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CAD
2007
Springer
13 years 5 months ago
Interpolation by geometric algorithm
We present a novel geometric algorithm to construct a smooth surface that interpolates a triangular or a quadrilateral mesh of arbitrary topological type formed by n vertices. Alt...
Takashi Maekawa, Yasunori Matsumoto, Ken Namiki
ALENEX
2003
139views Algorithms» more  ALENEX 2003»
13 years 6 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
CAGD
2005
112views more  CAGD 2005»
13 years 4 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
TOG
2008
127views more  TOG 2008»
13 years 4 months ago
Freeform surfaces from single curved panels
Motivated by applications in architecture and manufacturing, we discuss the problem of covering a freeform surface by single curved panels. This leads to the new concept of semi-d...
Helmut Pottmann, Alexander Schiftner, Pengbo Bo, H...
IJCV
2006
166views more  IJCV 2006»
13 years 5 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