Abstract | ||
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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 Caravantes | 1 | 11 | 4.72 |
Gema M. Díaz-Toca | 2 | 80 | 11.93 |
Mario Fioravanti | 3 | 17 | 3.42 |
Laureano Gonzalez-Vega | 4 | 199 | 17.77 |
Ioana Necula | 5 | 84 | 4.85 |