Degree reduction of Bézier curve/surface. Lian Zhou [email protected] Dec. 14, 2006. Outline. Introduction of degree reduction in CAGD Related work Degree reduction of curves Degree reduction of tensor product Bézier surfaces Degree reduction of triangular Bézier surfaces
Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.
Degree from to
Input: control points of
Output: control points of
Objective function:
B--J
D
Jacobi
D
D
Optimal multi-degree reduction of Bézier
curves with -continuity
Lizheng Lu , Guozhao Wang
Computer Aided Geometric Design 23 (2006) 673–683
Best
Better
Best locally
Bézier
Original surface
Bézier
Original surface
Bézier
Original surface
D
Jacobi
Thanks!
D
Gerald Farin joined ASU in 1987. He has also worked at the University of Utah and spent four years in CAD/CAM development at Mercedes-Benz, Stuttgart, Germany. He has taught CAGD tutorials worldwide and has given more than 100 invited lectures worldwide.
- NURBS
- Modeling 3D