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Degree Reduction of Disk Wang-bezier Type Generalized Ball Curves
| Content Provider | Semantic Scholar |
|---|---|
| Author | Davood, Bakhshesh Hamid, Esfahani Seyyed Abdol |
| Copyright Year | 2012 |
| Abstract | Abstract A disk Wang-Bezier type generalized Ball curve is a Wang-Bezier type generalized Ball curve whose control points are disks in a plane. It can be viewed as a parametric curve with error tolerances. In this paper, we discuss the problem of degree reduction of disk Wang-Bezier type generalized Ball curve, that is, bounding disk Wang-Bezier type generalized Ball curves with lower degree disk Wang-Bezier type generalized Ball curves. We propose an algorithm to solve this problem. The algorithm starts by finding an optimal approximation to the center curve of the original disk Wang-Bezier type generalized Ball curve, which is served as the center curve of the degree reduced disk Wang-Bezier type generalized Ball curve. Then the radius of the degree reduced disk Wang-Bezier type generalized Ball curve is computed by solving some linear programming problems, and for which analytic solutions are obtained. |
| Starting Page | 33 |
| Ending Page | 49 |
| Page Count | 17 |
| File Format | PDF HTM / HTML |
| Volume Number | 3 |
| Alternate Webpage(s) | http://jacr.iausari.ac.ir/article_2431_076bb55c3015b29ab21b08cca1174781.pdf |
| Alternate Webpage(s) | http://journals.iau.ir/article_631439_076bb55c3015b29ab21b08cca1174781.pdf |
| Alternate Webpage(s) | http://www.sid.ir/en/VEWSSID/J_pdf/1035220120104.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
