Title :
Approximate Merging of a Pair of DP Curves
Author :
Huahui Cai ; Yan Cheng
Author_Institution :
Sch. of Inf. Eng., Jingdezhen Ceramic Inst., Jingdezhen, China
Abstract :
This paper deals with the approximate merging problem of two adjacent DP curves with different degrees by a single curve. We first transform the DP curves into the Bézier curves. Then, we merge Bézier curves. Finally, we transform the Bézier curve back into the DP curve. In the end of this paper, numerical examples are provided to demonstrate the validity and efficiency of our algorithms.
Keywords :
CAD; approximation theory; engineering graphics; Bezier curves; approximate merging problem; computer aided geometric design; two adjacent DP curves; Approximation algorithms; Approximation methods; Computers; Jacobian matrices; Merging; Polynomials; Shape; B¨¦zier curve; Conversion matrix; DP curve; Merging;
Conference_Titel :
Computational and Information Sciences (ICCIS), 2012 Fourth International Conference on
Conference_Location :
Chongqing
Print_ISBN :
978-1-4673-2406-9
DOI :
10.1109/ICCIS.2012.88