Restricted Range Adaptive Curve Fitting.

Abstract

This paper presents an algorithm for adaptively computing smooth piece-wise polynomial approximations using restricted range uniform approximations. Also several numerical examples are presented and suggestions offered for the effective use of this algorithm. The algorithm is found to be effective for approximating a wide class of functions, either with or without significant levels of noise. Furthermore, since the user of this algorithm actually defines tolerance bands within which the approximation will lie, the algorithm allows the user a great deal of flexibility and control over the shape of the resulting approximations. A Fortran code of this algorithm is included in an appendix at the end of the paper.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1977
Accession Number
ADA046602

Entities

People

  • Gerald D. Taylor
  • J. A. Hull

Organizations

  • Colorado State University

Tags

Communities of Interest

  • Cyber
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Coefficients
  • Colorado
  • Curve Fitting
  • Errors
  • Experimental Data
  • Interpolation
  • Intervals
  • Operating Systems
  • Polynomials
  • Scientific Research
  • Three Dimensional
  • Universities

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design