Least Squares Cubic Splines.

Abstract

An important feature of ordinary cubic splines results from the conditions of continuity of the function and its first two derivatives that are improved at each data point. Consequently, this method is not useful with experimental data, which is the sum of the true value of a function and some random noise. The authors have combined the least squares criteria with the spline conditions to obtain a set of equations which allow one to perform least squares curve fitting with cubic splines. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 29, 1973
Accession Number
AD0774403

Entities

People

  • Antonio F. Quesada
  • Victor L. Corbin

Organizations

  • Air Force Cambridge Research Laboratories

Tags

DTIC Thesaurus Topics

  • Continuity
  • Curve Fitting
  • Equations
  • Experimental Data
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.