| Presentation | 2014/11/13 New Algorithms and Lower Bounds for the Discrete Frechet Distance KARL BRINGMANN, WOLFGANG MULZER, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The Frechet distance is a popular and widespread distance measure for point sequences and curves. About two years ago, Agarwal et al presented a new subquadratic algorithm for the discrete version of the problem. This has spawned a flurry of activity that has led to several new algorithms and lower bounds. Building on a recent result by Bringmann, we present a new lower bound that shows that it is unlikely that one can obtain a subquadratic algorithm for the discrete Frechet distance, even in the one-dimensional case and even if we allow the solution to be approximate by a factor of 1.4. We also present the first non-trivial subquadratic approximation algorithm for the general discrete Frechet distance: given to sequences P and Q of n points in d dimensions, an a-approximation for the discrete Frechet distance between P and Q can be computed in time O(n log n + n^2/α), for any α ∈ (1, ... , n]. |
| Keyword(in Japanese) | (See Japanese page) |
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| Paper # | Vol.2014-AL-150 No.29 |
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| Committee | CAS |
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| Conference Date | 2014/11/13(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (in Japanese) | (See Japanese page) |
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| Registration To | Circuits and Systems (CAS) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | New Algorithms and Lower Bounds for the Discrete Frechet Distance |
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| 1st Author's Name | KARL BRINGMANN |
| 1st Author's Affiliation | ETH Zurich() |
| 2nd Author's Name | WOLFGANG MULZER |
| 2nd Author's Affiliation | Institut fur Informatik, Freie Universitat Berlin |
| Date | 2014/11/13 |
| Paper # | Vol.2014-AL-150 No.29 |
| Volume (vol) | vol.114 |
| Number (no) | 312 |
| Page | pp.pp.- |
| #Pages | 6 |
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