Approximation with the Radial Basis Functions of Lewitt

Abstract

R. M. Lewitt has introduced a family of compactly supported radial basis functions which are particularly useful in discretising for inversion ill-posed problems involving line integrals. We consider some practical considerations in their use and implementation, compare square and triangular grids of the functions in two dimensions, and describe some particularly favourable choices of the defining parameters.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 2001
Accession Number
ADP013731

Entities

People

  • J. J. Green

Organizations

  • University of Sheffield

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Bessel Functions
  • Differential Equations
  • Digital Images
  • Equations
  • Fourier Analysis
  • Frequency Domain
  • Integral Equations
  • Integrals
  • Interpolation
  • Inversion
  • Linear Systems
  • Ocean Waves
  • Partial Differential Equations
  • Three Dimensional
  • X Rays

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)