Title
Improving the topology computation of an arrangement of cubics
Abstract
This paper is devoted to improve the efficiency of the algorithm introduced in [A. Eigenwillig, L. Kettner, E. Schomer, N. Wolpert, Exact, efficient and complete arrangement computation for cubic curves, Computational Geometry 35 (2006) 36-73] for analyzing the topology of an arrangement of real algebraic plane curves by using deeper the well-known geometry of reducible cubics instead of relying on general algebraic tools.
Year
DOI
Venue
2008
10.1016/j.comgeo.2008.03.001
Comput. Geom.
Keywords
Field
DocType
cubic curves,topology computation,reducible cubics,topology,computational geometry,l. kettner,n. wolpert,cubic curve,real algebraic plane curve,general algebraic tool,well-known geometry,curve arrangements,algebraic methods,complete arrangement computation,e. schomer,plane curve
Topology,Algebraic geometry,Combinatorics,Cubic plane curve,Function field of an algebraic variety,Differential algebraic geometry,Algebraic surface,Real algebraic geometry,Computational topology,Mathematics,Geometry and topology
Journal
Volume
Issue
ISSN
41
3
Computational Geometry: Theory and Applications
Citations 
PageRank 
References 
2
0.41
9
Authors
2
Name
Order
Citations
PageRank
Jorge Caravantes1114.72
Laureano Gonzalez-Vega219917.77