In this paper, we propose methods based on two stages to find G0- and G1- multi degree reductions of disk Bezier curves. The first stage is degree reducing the centre and radius curves and the second stage is approximating the error radius curve. An example is given to illustrate the efficiency of the proposed method which shows that our method outperforms existing methods and guarantees geometric continuity conditions at the boundary disks which is very important in CAD and geometric modeling.
|Title of host publication
|Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014
|Theodore E. Simos, Theodore E. Simos, Theodore E. Simos, Charalambos Tsitouras
|American Institute of Physics Inc.
|Published - Mar 10 2015
|International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 - Rhodes, Greece
Duration: Sept 22 2014 → Sept 28 2014
|AIP Conference Proceedings
|International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014
|9/22/14 → 9/28/14
- Disk Bezier curves
- degree reduction
ASJC Scopus subject areas
- Physics and Astronomy(all)