(Ⅱ)型三角剖分下带边界条件的二元二次样条插值

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Interpolation with Boundary Condition Using Bivariate Quadric Splines Connected with Triangular Partition

摘要: 本文研究(Ⅱ)型三角剖分下带边界条件的二元二次样条插值问题的存在唯一性与插值节点分布的关系,并且在证明了中心插值、角点插值和偏心插值问题解的存在唯一性的基础上,给出了这三种插值函数的构造方法.

Abstract: In this paper, we study the relations between the esistaace uniqueness of iaterpolation with boundary condition using bivariate quadric splines connected with triangular partition and positions of interpolating points. After proving the ezistence uniqueness of interpolation. Problems at center, vertez and partial center, we give the constructioa methods for these three interpolating fnactioas.

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[2]	Chuff,Charles K and Ren-hoag Wang,On Spaces of Piecewise Polynomials with Boundary Conditions,Type-2 Triaagulatioas,CAT*9,June(1982).