| Conversion between Triangular and Rectangular B\'{e}zier Surfaces |
| Received:June 28, 2004 |
| Key Words:
triangular B\'{e}zier surface rectangular B\'{e}zier surface functional composition polar form.
|
| Fund Project: |
|
| Hits: 4009 |
| Download times: 2114 |
| Abstract: |
| B\'{e}zier surfaces are widely used in CAGD. There are two main types of B\'{e}zier surfaces, namely the rectangular B\'{e}zier patch and the triangular B\'{e}zier patch. The two patches have different basic functions, but they share many common properties, so the conversion of one type to the other has aroused the interest of many researches. This paper deals with this problem by use of functional composition. The polar form is used as the representation for one of the composite functions, whereas the Bernstein representation is used for the other function. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2006.03.015 |
| View Full Text View/Add Comment |
|
|
|
