A practical construction of G1 smooth biquintic B-spline surfaces over arbitrary topology
✍ Scribed by Xiquan Shi; Tianjun Wang; Piqiang Yu
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 361 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0010-4485
No coin nor oath required. For personal study only.
✦ Synopsis
The motivation of this paper is to develop a local scheme of constructing G 1 smooth B-spline surfaces with single interior knots over arbitrary topology. In this paper, we obtain the conditions of G 1 continuity between two adjacent biquintic B-spline surfaces with interior single knots. These conditions are directly represented by the relevant control points of the two B-spline surfaces. By utilizing these G 1 conditions, we develop the first local scheme of constructing G 1 smooth biquintic B-spline surfaces with interior single knots for arbitrary topological type. The high complexity of deriving the local G 1 scheme is well overwhelmed. The biquintic is the lowest degree for which there exists a local scheme of constructing G 1 smooth B-spline surfaces with interior single knots over arbitrary topology.