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B-spline curves and surfaces viewed as digital filters

✍ Scribed by Ardeshir Goshtasby; Fuhua Cheng; Brian A Barsky

Publisher
Elsevier Science
Year
1990
Weight
752 KB
Volume
52
Category
Article
ISSN
0734-189X

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✦ Synopsis

In this paper, we show that B-spline curves and surfaces can be viewed as digital filters. Viewing B-spline problems as digital filters allows one to predict some properties of the generated curves and surfaces. We find that even-order B-splines and odd-order B-splines behave differently when used in curve and surface interpolation. Even-order B-splines generate smoother curves and surfaces than do odd-order B-splines.

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