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An algorithm for least-squares fitting of cubic spline surfaces to functions on a rectilinear mesh over a rectangle

✍ Scribed by P. Dierckx


Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
865 KB
Volume
3
Category
Article
ISSN
0377-0427

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✦ Synopsis


In this paper a method is presented for fitting, in the least-squares sense, a bivariate cubic spline function to values of a dependent variable, specified at points on a rectangular grid in the plane of the independent variables. Products of B-splines are used to represent the bicubic splines. The coefficients in this representation are determined by solving a set of one-dimensional leastsquares problems.