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Increasing the smoothness of bicubic spline surfaces

โœ Scribed by Pere Brunet


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
634 KB
Volume
2
Category
Article
ISSN
0167-8396

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๐Ÿ“œ SIMILAR VOLUMES


Smoothing of bicubic parametric surfaces
โœ Johan A.P. Kjellander ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 535 KB

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.

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It is shown that parametrical smoothness conditions are sufficient for modeling smooth spline surfaces of arbitrary topology if degenerate surface segments are accepted. In general, degeneracy, i.e., vanishing partial derivatives at extraordinary points, is leading to surfaces with geometrical singu