Minimum Distance Least Squares Surface Fitting.

Abstract

A least squares fitting technique is described where all of the experimental variables are considered subject to error, rather than the customary single variable. The procedure is particularly valuable when the actual physical measurements contain real and estimable errors in more than one variable. The fitting procedure minimizes the closest (perpendicular) distance from the experimental point to the locus on the assumed functional relationship among the n different variables. The locus is approximated by a (n-1) dimensional surface. The techique is adaptable to any number of variables and any number of adjustable constants in the assumed equation.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1976
Accession Number
ADA035485

Entities

People

  • Armand A. Fannin Jr.
  • Lowell A. King

Organizations

  • United States Air Force Academy

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Chlorides
  • Curvature
  • Data Sets
  • Elements
  • Equations
  • Errors
  • Iterations
  • Measurement
  • New York
  • Numbers
  • Personality
  • Physical Properties
  • Procedures (Computers)
  • Standards
  • United States
  • Vapor Pressure

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Regression Analysis.