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by Yutaka Ohtake Alex, Er Belyaev Hans-peter Seidel
http://www.mpi-sb.mpg.de/%7Ebelyaev/papers/cgi03obs.ps.gz
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Abstract:
In this paper, we propose a new interpolatory subdivision scheme for generating nice-looking curvature-continuous curves of round shapes. The scheme is based on a diffusion of normals. Given a subdivided polyline, the new polyline vertices inserted at the the splitting step are updated in order to fit diffused (averaged with appropriate weights) normals. Although the resulting interpolatory subdivision scheme is non-stationary, nonlinear, and nonuniform from the traditional point of view, the scheme is easy to implement because the same simple geometric procedure for generating new vertices is used at each subdivision step. According to our experiments, the scheme is robust and demonstrate very good convergence properties.
Citations
|
142
|
Subdivision surfaces in character animation
– DeRose, Kass, et al.
- 1998
|
|
137
|
Subdivision for Modeling and Animation
– Zorin, Schröder
- 2000
|
|
116
|
A 4-point interpolatory subdivision scheme for curve design
– Dyn, Gregory, et al.
- 1987
|
|
110
|
Symmetric iterative interpolation processes
– DESLAURIERS, DUBUC
- 1989
|
|
95
|
Wavelets for Computer Graphics
– Stollnitz, DeRose, et al.
- 1996
|
|
87
|
A theoretical development for the computer generation and display of piecewise polynomial surfaces
– Lane, Riesenfeld
- 1980
|
|
55
|
Geometric surface smoothing via anisotropic diffusion of normals
– TASDIZEN, WHITAKER, et al.
- 2002
|
|
41
|
Subdivision Methods For Geometric Design
– Warren, Weimer
- 2002
|
|
38
|
A variational approach to subdivision
– Kobbelt
- 1996
|
|
33
|
Numerical Recipies in C: the art of scientific computing
– Press, Teukolsky, et al.
- 1992
|
|
24
|
A multiresolution framework for variational subdivision
– KOBBELT, SCHRÖDER
- 1998
|
|
23
|
Linear anisotropic mesh filtering
– TAUBIN
- 2001
|
|
22
|
A chronology of interpolation: From ancient astronomy to modern signal and image processing
– Meijering
- 2002
|
|
20
|
Mesh regularization and adaptive smoothing
– Ohtake, Belyaev, et al.
- 2001
|
|
15
|
Mesh Smoothing by Adaptive and Anisotropic Gaussian Filter Applied to Mesh Normals
– Ohtake, Belyaev, et al.
- 2002
|
|
7
|
New approach for modeling and smoothing of scattered 3D data
– Karbacher, Häusler
- 1998
|
|
5
|
Detection of ridges and ravines on range images and triangular meshes
– Ohtake, Abe
- 2000
|
|
4
|
Non-uniform corner cutting
– Gregory, Qu
- 1996
|
|
4
|
A non-linear subdivision scheme for triangle meshes
– Karbacher, Seeger, et al.
- 2000
|
|
3
|
Refining triangle meshes by non-linear subdivision
– Karbacher, Seeger, et al.
- 2001
|
|
1
|
Interpolation through an iterative scheme
– Dubic
- 1986
|
|
1
|
Iterative Erzeugung glatter Interpolaten
– Kobbelt
- 1994
|
