Title
An algebraic framework for computing the topology of offsets to rational curves.
Abstract
A new algebraic framework is introduced for computing the topology of the offset Cδ at distance δ to a rational plane curve C defined by a parameterization (x(t),y(t)). The focus is on computing the topology of Cδ by analyzing the image of the parameterization of Cδ which involves square roots. This framework is mainly intended to deal with curves that bring initially complicated singularities or with curves such that the offset to compute introduces such singularities making approximation techniques difficult to apply in these cases.
Year
DOI
Venue
2017
10.1016/j.cagd.2017.03.007
Computer Aided Geometric Design
Keywords
Field
DocType
Offset topology,Rational plane curves,Subresultants,Symbolic-numerical computing
Topology,Discrete mathematics,Mathematical optimization,Algebraic number,Polynomial,Algebraic curve,Discontinuity (linguistics),Implicit function,Plane curve,Square root,Mathematics,Offset (computer science)
Journal
Volume
ISSN
Citations 
52
0167-8396
1
PageRank 
References 
Authors
0.36
24
5
Name
Order
Citations
PageRank
Jorge Caravantes1114.72
Gema M. Díaz-Toca28011.93
Mario Fioravanti3173.42
Laureano Gonzalez-Vega419917.77
Ioana Necula5844.85