On the Topology of Planar Algebraic Curves (2009)
Jinsan Cheng, Sylvain Lazard, Luis Peñar, Marc Pouget, Fabrice Rouillier, Elias Tsigaridas
We introduce a method to compute the topology of planar algebraic curves. The curve may not be in generic position and may have vertical asymptotes. The algebraic tools are rational univariate...
On the topology of planar algebraic curves (2009)
Cheng, Jinsan, Lazard, Sylvain, Peñaranda, Luis Mariano, Pouget, Marc, Rouillier, Fabrice, Tsigaridas, Elias P.
We revisit the problem of computing the topology and geometry of a real algebraic plane curve. The topology is of prime interest but geometric information, such as the position of singular and...
On the topology of planar algebraic curves (2009)
Cheng, Jinsan, Lazard, Sylvain, Peñaranda, Luis Mariano, Pouget, Marc, Rouillier, Fabrice, Tsigaridas, Elias P.
We revisit the problem of computing the topology and geometry of a real algebraic plane curve. The topology is of prime interest but geometric information, such as the position of singular and...
Blending quadric surfaces via a base curve method (2008)
Abstract. A method for blending surfaces ( implicit or parametric) is introduced. The blending surface is defined by a collection of curves generated through the same base curve and has a parametric...
Constructing Blending Surfaces for Two Arbitrary Surfaces (2008)
Abstract. In this paper, we present a method, which can be used to solve the blending problem of two arbitrary surfaces as long as they have regular blending boundaries. The blending surface is...
On The Topology of Planar Algebraic Curves (2008)
Cheng, Jinsan, Lazard, Sylvain, Peñaranda, Luis Mariano, Pouget, Marc, Rouillier, Fabrice, Tsigaridas, Elias P.
We introduce a method to compute the topology of planar algebraic curves. The curve may not be in generic position and may have vertical asymptotes. The algebraic tools are rational univariate...
On The Topology of Planar Algebraic Curves (2008)
Cheng, Jinsan, Lazard, Sylvain, Peñaranda, Luis Mariano, Pouget, Marc, Rouillier, Fabrice, Tsigaridas, Elias P.
We introduce a method to compute the topology of planar algebraic curves. The curve may not be in generic position and may have vertical asymptotes. The algebraic tools are rational univariate...
On the topology of planar algebraic curves (2008)
Jinsan Cheng, Sylvain Lazard, Luis Peñar, Marc Pouget, Fabrice Rouillier, Elias Tsigaridas
We revisit the problem of computing the topology and geometry of a real algebraic plane curve. The topology is of prime interest but geometric information, such as the position of singular and...