Scattered Data Interpolation Using Thin Plate Splines with Tension.

Abstract

The equation of an infinite thin plate under the influence of point loads and mid-plane forces is developed. The properties of the function as the tension goes to zero or becomes large is investigated. This function is then used ot interpolate scattered data, giving the user the parameter of tension to give some control over overshoot when the surface has large gradients. Examples illustrating the behavior of the interpolation function are given. (Author).

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1984
Accession Number
ADA149803

Entities

People

  • R. Franke

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Boundary Value Problems
  • Computations
  • Construction
  • Differential Equations
  • Engineering
  • Equations
  • Inclusions
  • Interpolation
  • Mathematical Analysis
  • Mathematics
  • New York
  • Polynomials
  • Precision
  • Research Facilities
  • Statistics

Readers

  • Computer Science.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Structural Dynamics.