AlciX - Fast and Exact Geometric Analysis of Real Algebraic Plane Curves

نویسندگان

  • Arno Eigenwillig
  • Michael Kerber
  • Nicola Wolpert
چکیده

An algorithm is presented for the geometric analysis of an algebraic curve f (x,y) = 0 in the real affine plane. It computes a cylindrical algebraic decomposition (CAD) of the plane, augmented with adjacency information. The adjacency information describes the curve’s topology by a topologically equivalent planar graph. The numerical data in the CAD gives an embedding

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تاریخ انتشار 2007