Abstract
In recent years there has been a great deal of interest in the preservation of data properties in an interpolating function, and many good algorithms are available for this problem.
In this paper a basis is constructed for a tensioned spline that gives a numerically stable algorithm for theL 2 fitting of data that can preserve monotonicity and/or convexity. The motivation for this work is the fitting of data from a sewerage farm.
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Elliott, G.H. Least squares data fitting using shape preserving piecewise approximations. Numer Algor 5, 365–371 (1993). https://doi.org/10.1007/BF02109197
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DOI: https://doi.org/10.1007/BF02109197