Bert Jüttler
Johannes Kepler University of Linz, Austria
organisé par l'équipe LXAO
Résumé :
Curves and surfaces in Computer Aided Geometric Design can be defined either by a parametric representation, or as the zero set of a bivariate or trivariate function. The conversion processes between both representations are parameterization and implicitization. The implicit representation offers various potential benefits, e.g., for the representation of solid objects, and for solving surface-surface-intersection problems. So far, however, the use of the implicit form of curves and surfaces has been limited by the absence of suitable conversion techniques. In this talk we discuss methods for approximate implicitization, which avoids the problems associated with exact implicitization (such as high polynomial degree, self intersections, etc.) We show how to generate an implicit spline representation of curves and suraces from a parametric one.
