Bicubic spline smoothing of the data given at points of a rectangular network |
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| Authors: | Věnceslava Pretlová Reviewer I P?en?ik |
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| Institution: | (1) Institute of the Physics of the Atmosphere, Czechosl. Acad. Sci., Prague |
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| Abstract: | Summary A computational method for fitting smoothed natural or periodic bicubic splines to data given at the grid points of a rectangular network is proposed. The one-dimensional smoothed spline fit, introduced by Reinsch, defines the smoothness properties well. These are generalized for a two-dimensional approximation by solving the corresponding variational problem. The defining equations are presented here together with an efficient method of determining the necessary parameters and computing the resultant spline.
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