Adaptive Parameterization and Approximation for CAD Data Reduction
LYON-1 UNIV VILLEURBANNE (FRANCE)
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Data reduction is frequently needed in curve and surface model conversion, primarily for CAD data exchanges, but also to ease the designers 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.
- Numerical Mathematics
- Theoretical Mathematics