Abstract

Analytical procedures are usually based on the assumption that random errors are inevitable and must be accommodated by overdetermining the value sought. For example, if one wishes to determine the absorptivity of a compound at a particular frequency he will generally measure the absorbance for several concentrations and determine the best straight line (after demonstrating Beer's law to be valid for the system). One absorbance and concentration would be sufficient except for the experimental uncertainties.

Image Restoration by the Method of Least Squares

Carl W. Helstrom
J. Opt. Soc. Am. 57(3) 297-303 (1967)

Method of Least Squares and Curve Fitting

H. S. Uhler
J. Opt. Soc. Am. 7(11) 1043-1066 (1923)

Application of the Least-Squares Method*

Saul Rosen and An-Min Chung
J. Opt. Soc. Am. 46(3) 223-226 (1956)

Computer Analysis of Resonance Profiles by the Method of Least Squares

David L. Ederer
Appl. Opt. 8(11) 2315-2325 (1969)

Damped Least-Squares Method for Automatic Lens Design

Joseph Meiron
J. Opt. Soc. Am. 55(9) 1105-1109 (1965)