B-splines with geometric knot spacings
✍ Scribed by Zeynep F. Koçak; George M. Phillips
- Publisher
- Springer Netherlands
- Year
- 1994
- Tongue
- English
- Weight
- 568 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0006-3835
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📜 SIMILAR VOLUMES
For some applications, further subdivision of a segment of a B-spline curve or B-spline surface is desirable. This paper provides an algorithm for this. The structure is similar to de Boor's algorithm for the calculation of a point on a curve. An application of the subdivision is illustrated.
The modification of a knot of a B-spline curve of order k generates a family of B-spline curves. We show that an envelope of this family is a B-spline curve defined by the same control polygon, and its order is km, where m is the multiplicity of the modified knot. Moreover, their arbitrary order der