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Ajuste con NURBS a una Malla Cuadrilateral Regularizada.

Keywords: Regularization , Fit , Geodesic , B-Splines , Evolutionary Strategies

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Abstract:

This article proposes a method of surfaces fitting with NURBS from the regularization of a quadrilateral mesh implemented by Geodesic and B-Splines, in order to approached precisely and continually the geometry of the surface of the unknown physical object. The first phase of the proposed method consists of the following steps: 1. selection of a quadrilateral 2. selection of a side of the chosen quadrilateral and their opposed one 3. regularization using B-Splineswith lambda density 4. Matching of regularized points by the FMM’s geodesic and 5. generation of points for each line of B-spline with density lambda. The regularized quadrilateral mesh obtained from the previous phase, serves as base for the later layout of surfaces NURBS (Non Uniform Rational B-Splines), which are a standard of the systems CAD/CAM. Finally, the NURBS patches are optimized by Evolutionary Strategies.

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