计算机工程与应用Issue(2)：137-141,5.DOI:10.3778/j.issn.1002-8331.1210-0088
一类加权有理四次插值样条曲线的形状控制
Shape control of weighted rational quartic interpolating spline curve
摘要
Abstract
To constrain the interpolating curves to be bounded in the given region is an important problem in curve design. A kind of weighted rational quartic spline interpolation is constructed using the rational quartic spline with linear polynomial denominator and the rational quartic spline based on function values. The interpolation function has a simple and explicit mathematical representation. The sufficient conditions for the interpolating curves to be above, below or between the given broken lines or piecewise quadratic curves are derived.关键词
计算机应用/有理样条/加权插值/约束插值/形状控制Key words
computer application/rational spline/weighted interpolation/constrained interpolation/shape control分类
信息技术与安全科学引用本文复制引用
邓四清..一类加权有理四次插值样条曲线的形状控制[J].计算机工程与应用,2014,(2):137-141,5.基金项目
国家自然科学基金（No.60773110）；广东省自然科学基金（No.S2012010010069）；中山大学广东省计算数学重点实验室开放基金项目（No.201206015）；湖南省教育厅科研资助项目（No.06C791）；韶关市科技计划项目（No.2011CX/K20）。 （）
