Interpolating Surfaces: High Order Convergence Rates and Their ASsociated Designs, with Application to X-Ray Image Reconstruction.

Abstract

Consider the problem of interpolating a function on the unit square from values of the function given on a set (called the design) of N discrete points. Then some new results are obtained on better ways to distribute these N points so as to minimize the maximum interpolation error.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1978
Accession Number
ADA056171

Entities

People

  • Grace Wahba

Organizations

  • University of Wisconsin Madison Department of Statistics

Tags

DTIC Thesaurus Topics

  • Convergence
  • Hilbert Space
  • Human Body
  • Image Reconstruction
  • Interpolation
  • Measurement
  • Military Research
  • Plastic Explosives
  • Polynomials
  • Wisconsin
  • X Rays

Fields of Study

  • Mathematics

Readers

  • Computer Vision.
  • Electrical Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)