Approximate merging of multiple Bézier segments  

作　　者：Min Cheng Guojin Wang 

机构地区：[1]Institute of Computer Graphics and Image Processing, Zhefiang University, Hangzhou 310027, China [2]College of Science, Zhefiang University of Technology, Hangzhou 310032, China

出　　处：《Progress in Natural Science:Materials International》2008年第6期757-762,共6页自然科学进展·国际材料（英文版）

基　　金：the National Basic Research Program of China Grant No. 2004CB719400）;National Natural Science Foundation of China（Grant Nos.60673031 and 60333010）;the Scientific Research Program of the Education Office of Zhejiang Province（Grant No.20070309）.

摘　　要：This paper deals with the approximate merging problem of multiple adjacent Bézier curves with different degrees by a single Bézier curve, which is a frequently seen problem in modeling. The unified matrix representation for precise merging is presented and the approximate merging curve is further derived based on matrix operation. Continuity at the endpoints of curves is also discussed in the merging process. Examples show that the method in this paper achieves satisfying merging results.This paper deals with the approximate merging problem of multiple adjacent Bézier curves with dierent degrees by a single Bézier curve,which is a frequently seen problem in modeling.The unified matrix representation for precise merging is presented and the approx-imate merging curve is further derived based on matrix operation.Continuity at the endpoints of curves is also discussed in the merging process.Examples show that the method in this paper achieves satisfying merging results.

关 键 词：Computer-aided geometric design Bézier curve Approximate merging Matrix representation 

分 类 号：TP3[自动化与计算机技术—计算机科学与技术]