Smoothing of bicubic parametric surfaces
β Scribed by Johan A.P. Kjellander
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 535 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0010-4485
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β¦ Synopsis
Bicubic parametric surfaces are often used to represent complex shapes in systems for computer-aided design and manufacture. Such a surface can be defined by a topologically rectangular mesh of cubic parametric splines, a curve which is an approximate mathematical model of the linear elastic beam.
Smoothing a bicubic parametric surface can be done by smoothing the curve net that defines it. This paper describes a method for moving datapoints in a curve net to new 'smoother' positions. Different techniques to analyse the result of the smoothing are also discussed.
π SIMILAR VOLUMES
A generalized projective implicitization theorem is presented that can be used to solve the implicitization of rational parametric curves and surfaces in an affine space. The Groebner bases technique is used to implement the algorithm. The algorithm has the advantages that it can handle base points