三次H-Cardinal样条曲线及曲面  

Cubic H-Cardinal Spline Curves and Surfaces

作　　者：吴晓勤[1] 韩旭里[2] 罗善明[3] 

机构地区：[1]湖南科技大学数学与计算科学学院,湖南湘潭411201 [2]中南大学数学科学与计算技术学院,湖南长沙410083 [3]湖南科技大学机电工程学院,湖南湘潭411201

出　　处：《工程图学学报》2008年第5期83-88,共6页Journal of Engineering Graphics

基　　金：国家自然科学基金资助项目(50575071);湖南省杰出青年基金资助项目(06JJ10008)

摘　　要：基于三次H-Hermite多项式得出一组特殊的基函数,由此基函数生成的曲线称之为三次H-Cardinal样条曲线,是Cardinal样条曲线的推广。曲线的形状调整依赖于参数λ和α,当α→0时,所给的曲线是Cardinal样条曲线。运用张量积将曲线推广到曲面的情形,具有与曲线完全类似的性质。因此,所给的曲线丰富了H-曲线的内容。Basing on cubic H-Hermite polynomials, a new type of curve called cubic H-Cardinal spline curves constructed by a set of special basis functions is presented. Cubic H-Cardinal spline curves is an extension of Cardinal spline curves, whose shape depends on two parameters λ,α and the limiting case of α→ 0 is Cardinal spline curves. Surfaces are constructed with tensor product method and its properties are analogy with the curves. Hence, the desired curves enrich the system of H-curves.

关 键 词：计算机应用 H-Hermite多项式 H-Cardinal样条 插值 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]