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10

SAC
2009
ACM

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Topology determination and isolation for implicit plane curves

13 years 11 months ago

Topology determination and isolation for implicit plane curves

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A method is proposed to generate an isolation for a plane curve, which is a set of boxes covering the curve, having the same topology as the curve, and approximating the curve to any given precision. The method uses symbolic computation to guarantee correctness and uses interval analysis whenever possible to enhance eﬃciency. This leads to a quite eﬀective hybrid method for plane curve isolation. Keywords. Plane curve, topology, isolating box, certiﬁed meshing, interval analysis.

Jin-San Cheng, Xiao-Shan Gao, Jia Li

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Applied Computing | Interval Analysis | Plane Curve | Plane Curve Isolation | SAC 2009 |

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Added	19 May 2010
Updated	19 May 2010
Type	Conference
Year	2009
Where	SAC
Authors	Jin-San Cheng, Xiao-Shan Gao, Jia Li

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