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THE COMPUTATION OF MULTIVARIATE B-SPLINES WITH APPLICATION TO SURFACE APPROXIMATIONS

THE COMPUTATION OF MULTIVARIATE B-SPLINES WITH APPLICATION TO SURFACE APPROXIMATIONS

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In spite of the well developed theory and the practical use of the univariate B-spline, the theory of multivariate B-spline is very new and waits its practical use. We compare in this article the multivariate B-spline approximation with the polynomial approximation for the surface fitting. The graphical and numerical comparisons show that the multivariate B-spline approximation gives much better fitting than the polynomial one, especially for the surfaces which vary very rapidly.

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