Abstract
In this paper, we study the relations between the existance uniqueness of interpolation with boundary condition using bivariate quadric splines connected with triangular partition and positions of interpolating points. After proving the existence uniqueness of interpolation problems at center, vertex and partial center, we give the construction methods for these three interpolatiny functions.
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References
Chui, Charles K. and Ren-Hong Wang, on A Birarate — Spline Basis, CAT 7, October (1981).
Chui, Charles K. and Ren-Hong Wang, On Spances of Piecewise Polynomials with Boundary Condition III. Type-2 Triangulations, CAT 19, June (1982).
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Communicated by Li Hao.
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Zhi-xian, L. Interpolation with boundary condition using bivariate quadric splines connected with triangular partition. Appl Math Mech 5, 1783–1789 (1984). https://doi.org/10.1007/BF01904922
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DOI: https://doi.org/10.1007/BF01904922