东南大学学报（英文版）2004，Vol.20Issue(4)：458-462,5.
基于权因子变动和约束优化的NURBS曲线形状修改
Weight-based shape modification of NURBS curves by constrained optimization
摘要
Abstract
A new method for shape modification of non-uniform rational B-splines (NURBS) curves is presented, which is based on constrained optimization by means of altering the corresponding weights of their control points. Using this method, the original NURBS curve is modified to satisfy the specified geometric constraints, including single point and multi-point constraints. With the introduction of free parameters, the shapes of modified NURBS curves can be further controlled by users without destroying geometric constraints and seem more naturally. Since explicit formulae are derived to compute new weights of the modified curve, the method is simple and easy to program. Practical examples show that the method is applicable for computer aided design (CAD) system.关键词
非均匀有理B样条/形状修改/约束优化/凸包Key words
non-uniform rational B-splines/shape modification/constrained optimization/convex hull分类
信息技术与安全科学引用本文复制引用
王志国,周来水,王小平..基于权因子变动和约束优化的NURBS曲线形状修改[J].东南大学学报（英文版）,2004,20(4):458-462,5.基金项目
The Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institutions of MOE, P. R. C. （）
