Parametric Polynomial Curves of Local Approximation of Order 8

Abstract

Parametric approximation of curves offers the possibility of increasing the order of approximation by using the additional parameters in the parameterization of the curve. This has been studied in several papers, see e.g.,. The resulting problems are highly nonlinear. Here the cases of approximation order O(h(sup 8)) are studied which need piecewise quartic curves in the plane and piecewise quintic curves in space.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADP012005

Entities

People

  • K. Scherer

Organizations

  • University of Bonn

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Coefficients
  • Computations
  • Continuity
  • Copyrights
  • Elimination
  • Equations
  • Guarantees
  • Intervals
  • Mathematics
  • Polynomials
  • Symposia
  • Technical Information Centers
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Statistical inference.

Technology Areas

  • Space