Optimization of a Curve Approximation Based on NURBS Interpolation

Abstract

In this paper, an approach is presented whereby optimal spatial positions and weights of a fixed number of NURBS control points are determined using a quasi-Newton optimization algorithm in order to approximate a general planar target curve. A method for constructing an adequate initial solution and a valid cost function based on interpolation error are introduced. Convergence of the iterative process is assessed, and the final interpolation error is related to prescribed manufacturing or analysis tolerances. The efficiency of the approach is demonstrated for actual wing profiles.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADP012031

Entities

People

  • Francois Guibault
  • Jean Yves Trepanier
  • Jerome Lepine
  • Marie Gabrielle Vallet

Organizations

  • Polytechnic School of Montreal

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Algorithms
  • Computational Science
  • Computations
  • Curvature
  • Data Reduction
  • Engineering
  • Interpolation
  • Law
  • Leading Edges
  • Linear Programming
  • Low Noise
  • Noise
  • Optimization
  • Precision
  • Technical Information Centers
  • Three Dimensional

Readers

  • Computational Modeling and Simulation
  • Operations Research
  • Regression Analysis.