Smooth Interpolation of Large Sets of Scattered Data.

Abstract

Methods for solving the following data fitting problems are discussed: Given the data (xi,yi,fi), i = 1,...,N construct a smooth bivariate function S with the property that S(xi,yi) = fi, i = 1,...,N. Because the desire to fit this type of data is encountered frequently in many areas of scientific applications, an investigation of the available methods for solving this problem was undertaken. Several aspects, such as computational efficiency, fitting characteristics and ease of implementation, were analyzed and compared. Within the context of a general purpose method for large sets of data, two of these methods emerged as being generally superior to the others. It is the purpose of this paper to describe these two methods and present examples illustrating their use and application. FORTRAN programs which implement these methods are available upon request. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Mar 09, 1979
Accession Number
ADA083840

Entities

People

  • Greg Nielson
  • Richard Franke

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Ground and Sea Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Applied Mathematics
  • British Columbia
  • Classification
  • Computations
  • Computer Science
  • Data Sets
  • Efficiency
  • Interpolation
  • Mathematics
  • Military Research
  • New York
  • Schools
  • Security
  • Technical Information Centers
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  • Triangulation
  • Universities

Fields of Study

  • Mathematics

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  • Approximation Theory.
  • Distributed Systems and Data Platform Development