A two-dimensional minimum-derivative spline |
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Authors: | V I Dmitriev Zh G Ingtem |
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Institution: | 1.Faculty of Computational Mathematics and Cybernetics,Moscow State University,Moscow,Russia |
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Abstract: | We consider the construction of a C
(1,1) interpolation parabolic spline function of two variables on a uniform rectangular grid, i.e., a function continuous in a
given region together with its first partial derivatives which on every partial grid rectangle is a polynomial of second degree
in x and second degree in y. The spline function is constructed as a minimum-derivative one-dimensional quadratic spline in one of the variables, and
the spline coefficients themselves are minimum-derivative quadratic spline functions of the other variable. |
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Keywords: | |
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