Adaptive Parameterization and Approximation for CAD Data Reduction

Abstract

Data reduction is frequently needed in curve and surface model conversion, primarily for CAD data exchanges, but also to ease the designer's work. Such data reduction corresponds globally to a number of pole reductions. A previous analysis has shown that there are two main criteria in this domain: the parametrization and the extremity conditions. The possibility of defining an optimum optimorum solution for the approximations used in data reduction is noted. The relation between this optimum optimorum and the existence of an optimal parametrization leads to a new approach for curve and surface approximation. This approach has the advantage of modifying the parameter settings in a transparent way, while matching easily the extremity conditions. Finally, the extension to surface data reduction of this scheme is presented.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADP012052

Entities

People

  • A. Bouras
  • G. Wahu
  • J. M. Brun

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Centrifugal Force
  • Computations
  • Convergence
  • Curvature
  • Data Reduction
  • Data Transmission
  • Displacement
  • Errors
  • Inverse Problems
  • Law
  • Mathematical Analysis
  • Mathematics
  • Precision
  • Shape
  • Technical Information Centers
  • Weighting Functions

Readers

  • Calculus or Mathematical Analysis
  • Chemistry (specifically Chemical Fluorescence)
  • Database Systems and Applications