Another knot insertion algorithm for B-spline curves
β Scribed by Phillip J. Barry; Rui-Feng Zhu
- Book ID
- 107919452
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 664 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0167-8396
No coin nor oath required. For personal study only.
π 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