Technical Report CS0019

TR#:CS0019
Class:CS
Title: POLYNOMIAL SPLINES FOR BOTH APPROXIMATION AND INTERPOLATION
Authors: E. Kantorowitz
PDFCS0019.pdf
Abstract: Splines which intersect "accurate" data points and are fitted in the least squares sense to ''measured'' data points are considered. It is -assumed that the multiplicity of the Knots of the splines are not necessarily equal. It was demonstrated experimentally that the coefficients of such a spline may, in many cases, be satisfactorily computed by linear least squares methods. Observations from an application indicate that data errors are smoothed out to such an extent that reasonable errors will normally not cause unintended bumps even when the degree.of the spline is quite high. It is explained that the merits of the splines are primarily due to the discontinuities, and that the quite neglected non-polynomial splines may be expected to be useful in many cases.
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