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Conference papers
Walking Your Dog in the Woods in Polynomial Time
Abstract : The Frechet distance between two curves in the plane is the minimum length of a leash that allows a dog and its owner to walk along their respective curves, from one end to the other, without backtracking. We propose a natural extension of Frechet distance to more general metric spaces, which requires the leash itself to move continuously over time. For example, for curves in the punctured plane, the leash cannot pass through or jump over the obstacles (''trees''). We describe a polynomial-time algorithm to compute the homotopic Frechet distance between two given polygonal curves in the plane minus a given set of obstacles, which are either points or polygons.
Keywords :
Homotopic Frechet distance
geodesic leash map
Cited literature [15 references]
https://hal.inria.fr/inria-00336497
Contributor : Sylvain Lazard <>
Submitted on : Tuesday, November 4, 2008 - 11:53:37 AM
Last modification on : Friday, February 26, 2021 - 3:28:08 PM
Long-term archiving on: : Tuesday, October 9, 2012 - 3:00:18 PM
Contributor : Sylvain Lazard <>
Submitted on : Tuesday, November 4, 2008 - 11:53:37 AM
Last modification on : Friday, February 26, 2021 - 3:28:08 PM
Long-term archiving on: : Tuesday, October 9, 2012 - 3:00:18 PM
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submission_105.pdf
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