浙江大学学报（理学版）2011，Vol.38Issue(5)：511-517,7.DOI:10.3785/j.issn.1008-9497.2011.05.007
基于离散曲率的三次均匀B样条的局部光顺算法
On local fairing algorithm for cubic B-spline with discrete curvature
摘要
Abstract
On the basis of investigating the relationship between the curvature of B-spline curves and the discrete curvature of its corresponding control points, a new conception of discrete curvature, the second discrete curvature is introduced. It is obtained that the curvature of cubic uniform B-spline curve at its joining points is proportional to the second discrete curvature of the corresponding control points. The fairing algorithm for cubic uniform B-spline based on the second discrete curvature is given. With this algorithm the curves are faired through adjusting the second discrete curvature of the corresponding control points directly, thus the fairing process is more concise and has stronger geometrical intuition. The experiment examples show that the algorithm can get better faring effects.关键词
离散曲率/差分/光顺/三次均匀B样条Key words
discrete curvatures differential/ fairing/ cubic uniform B-spline分类
信息技术与安全科学引用本文复制引用
喻德生,程程..基于离散曲率的三次均匀B样条的局部光顺算法[J].浙江大学学报（理学版）,2011,38(5):511-517,7.基金项目
江西省教育厅科技计划项目(GJJ10524) （GJJ10524）
江西省教改课题(Jxjg-07-7-9). （Jxjg-07-7-9）
