软件学报
軟件學報
연건학보
JOURNAL OF SOFTWARE
2001年
1期
143-147
,共5页
满家巨%胡事民%雍俊海%孙家广
滿傢巨%鬍事民%雍俊海%孫傢廣
만가거%호사민%옹준해%손가엄
B-样条曲线%节点插入%节点去除%光顺%约 束优化
B-樣條麯線%節點插入%節點去除%光順%約 束優化
B-양조곡선%절점삽입%절점거제%광순%약 속우화
研究了B-样条曲线节点的去除问题,简化了B-样条曲线内部节点精确去除的充要条件.基于 约束优化方法,通过扰动B-样条曲线的控制顶点,给出了节点去除的一个新算法,并用于光顺B-样条曲线.
研究瞭B-樣條麯線節點的去除問題,簡化瞭B-樣條麯線內部節點精確去除的充要條件.基于 約束優化方法,通過擾動B-樣條麯線的控製頂點,給齣瞭節點去除的一箇新算法,併用于光順B-樣條麯線.
연구료B-양조곡선절점적거제문제,간화료B-양조곡선내부절점정학거제적충요조건.기우 약속우화방법,통과우동B-양조곡선적공제정점,급출료절점거제적일개신산법,병용우광순B-양조곡선.
The problem of knot-removal for B-spline curves is investigated in this paper. The sufficient and necessary condition for removing knots of B-spline curves e xactly is simplified. Based on the constrained optimization method, a new algori thm of knot-removal is derived by perturbing the control points of B-spline cu rves. This method can also be used to fair B-spline curves.