Cubic Spline Interpolation on Nested Polygon Triangulations

Abstract

We develop an algorithm for constructing Lagrange and Hermite interpolation sets for spaces of cubic C(sup 1)-splines on general classes of triangulations built up of nested polygons whose vertices are connected by line segments. Additional assumptions on the triangulation are significantly reduced compared to the special class given in. Simultaneously, we have to determine the dimension of these spaces, which is not known in general. We also discuss the numerical aspects of the method.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADP011983

Entities

People

  • Frank Zeilfelder
  • Guenther Nuernberger
  • Oleg Davydov

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Boundaries
  • Coefficients
  • Computations
  • Construction
  • Contrast
  • Decomposition
  • Finite Element Analysis
  • Interpolation
  • Numbers
  • Polygons
  • Polynomials
  • Real Numbers
  • Technical Information Centers
  • Triangles
  • Triangulation

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Graph Algorithms and Convex Optimization.

Technology Areas

  • Space