Understanding the singularities of algebraic curves and surfaces is important for understanding the geometry of these curves and surfaces. A difficult problem in CAGD is the handling of self-intersections, and the theory of singularities of algebraic varieties is potentially a tool for handling this problem. In the GAIA project special emphasis has been put on detecting and locating singularities appearing on parameterized and implicitly given curves and surfaces of low degree.

Published May 30, 2005

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