苏州科技学院学报：自然科学版2012，Vol.29Issue(3)：14-19,40,7.
区间有理Bézier曲线的降多阶逼近
Multi-degree reduction approximation of interval rational Bézier curves
摘要
Abstract
By analyzing the constraint inequalities of rational polynomials, the degree reduction problem of interval rational Bézier curves is converted into that of polynomials with upper bound. Then two degree reduction methods are acquired: pseudo linear programming method and pseudo optimal approximation method. With the first method, muhi-degree reduction can be executed each time, while, with the second method, only one or two- degree reduction with explicit formulae can be done each time. Approximation errors with upper bounds are esti- mated for both methods when one degree reduction is executed. Examples indicate the efficiency of the proposed algorithms.关键词
降多阶逼近/区间曲线/有理Bézier曲线/线性规划/最优逼近Key words
multi -degree reduction approximation/interval curves/rational Bézier cures/linear programming/optimal approximation分类
数理科学引用本文复制引用
李涛..区间有理Bézier曲线的降多阶逼近[J].苏州科技学院学报：自然科学版,2012,29(3):14-19,40,7.基金项目
苏州科技学院校科研基金项目 （）
