Convexity-preserving B-spline modification

被引：0

作者：

Goodman, TNT ^{[1
]}

Unsworth, K

机构：

[1] Univ Dundee, Dept Math & Comp Sci, Dundee DD1 4HN, Scotland

[2] Lincoln Univ, Appl Management & Comp Div, Appl Comp Math & Stat Grp, Canterbury, New Zealand

来源：

MATHEMATICAL ENGINEERING IN INDUSTRY | 1999年 / 7卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the problem of modifying the shape of a cubic B-spline curve while retaining its convexity. This is achieved by moving control points in such a way as to maintain the convexity of the corresponding control polygon. The problem is formulated as a linear programming problem, which may be solved using the simplex method. Two examples, taken from cross-sections of a ship hull, are discussed.

引用

页码：155 / 164

页数：10

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