## Improvement on constrained multi-degree reduction of Bézier surfaces using Jacobi polynomials

- Lizheng Lu, Shiqing Zhao, Qianqian Hu
- Computer Aided Geometric Design
- 2009

Highly Influenced

@article{Chen2002OptimalMR, title={Optimal multi-degree reduction of B{\'e}zier curves with constraints of endpoints continuity}, author={Guodong Chen and Guo-Jin Wang}, journal={Computer Aided Geometric Design}, year={2002}, volume={19}, pages={365-377} }

- Published 2002 in Computer Aided Geometric Design
DOI:10.1016/S0167-8396(02)00093-6

Given a Bézier curve of degree n, the problem of optimal multi-degree reduction (degree reduction of more than one degree) by a Bézier curve of degree m (m< n−1)with constraints of endpoints continuity is investigated. With respect toL2 norm, this paper presents one approximate method (MDR by L2) that gives an explicit solution to deal with it. The method has good properties of endpoints interpolation: continuity of any r, s (r, s 0) orders can be preserved at two endpoints respectively. The… CONTINUE READING

Highly Cited

This paper has 33 citations. REVIEW CITATIONS