Determination of geometrical invariants of rationally parametrized conic sections

  • Authors:
  • Gudrun Albrecht

  • Affiliations:
  • Technische Univ., M&ouuml/nich, Germany

  • Venue:
  • Mathematical Methods for Curves and Surfaces
  • Year:
  • 2001

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Abstract

We address the problem of finding geometrical invariant , such as foci, axes, center and vertices of an non-degenerate conic section. Uniquely from its rational quadratic parameterization, i.e., without knowing its implicit representation. The main idea, namely the determination of the conic foci. Is based on the projective definition of the foci of a non-degenerate conic sections.