HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Book sections

Invariant-based characterization of the relative position of two projective conics

Sylvain Petitjean 1
1 VEGAS - Effective Geometric Algorithms for Surfaces and Visibility
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : In this paper, we give predicates of bidegree at most (6,6) in the input for characterizing the relative position of two projective conics. By relative position we mean the morphology of the intersection, the rigid isotopy class and which conic is inside the other when applicable. The predicates are derived by analyzing the algebraic invariant theory of pencils of conics and related constructions.
Document type :
Book sections
Complete list of metadata

https://hal.inria.fr/inria-00335968
Contributor : Sylvain Petitjean Connect in order to contact the contributor
Submitted on : Friday, October 31, 2008 - 1:46:28 PM
Last modification on : Friday, February 26, 2021 - 3:28:08 PM

Identifiers

  • HAL Id : inria-00335968, version 1

Collections

Citation

Sylvain Petitjean. Invariant-based characterization of the relative position of two projective conics. I. Emiris, F. Sottile, T. Theobald. Non-Linear Computational Geometry, Springer, 2008. ⟨inria-00335968⟩

Share

Metrics

Record views

240