Name
Abstract | ||
|---|---|---|
This paper presents a new method of designing curves and surfaces by solving the constraints imposed on the shapes at multiresolution levels. In this method, the curves and surfaces are represented by endpoint-interpolating B-splines and their corresponding wavelets. At each resolution level, the shape is determined by minimizing the energy function subject to the deformation of the shape while preserving the given constraints. Constraints at a low resolution level are converted to those at a high resolution level using wavelet transforms in order to associate all the constraints with the common basis functions. The constraints at multiresolution levels are then solved recursively from low to high resolution levels. Design examples are also presented in this paper. |
Year | DOI | Venue |
|---|---|---|
1997 | 10.1109/CGI.1997.601288 | Computer Graphics International |
Keywords | Field | DocType |
corresponding wavelet,energy function subject,common basis function,resolution level,multiresolution level,endpoint-interpolating b-splines,multiresolution constraints,high resolution level,surface design,design example,new method,low resolution level,high resolution,function approximation,wavelet transform,signal processing,surface waves,low resolution,computer graphics,interpolation,curve fitting,wavelet transforms,wavelets | Spline (mathematics),Mathematical optimization,Curve fitting,Computer science,Interpolation,Basis function,Deformation (mechanics),Recursion,Wavelet,Wavelet transform | Conference |
ISBN | Citations | PageRank |
0-8186-7825-9 | 5 | 0.59 |
References | Authors | |
3 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Shigeo Takahashi | 1 | 168 | 15.15 |
| Yoshihisa Shinagawa | 2 | 1900 | 124.80 |
| Tosiyasu L. Kunii | 3 | 1081 | 291.64 |