© 1961 by British Computer Society
Some Orthogonal Methods of Curve and Surface Fitting
R.A.E., Farnborough, Hants., UK
Extensions of the Forsythe method of curve fitting to surface fitting with a general set of data points are described. Attention is drawn to the use of the Gram-Schmidt process in such problems. The fitting of curves defined by the product of a known function and an arbitrary polynomial is discussed. This procedure is applied to defining a curve with vertical tangents or vertical asymptotes, and to fitting a polynomial satisfying certain restrictions at a specified point.