Abstract | ||
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Our goal is to compare two planar point sets by finding subsets of a given size such that a minimum-weight matching between them has the smallest weight. This can be done by a translation of one set that minimizes the weight of the matching. We give efficient algorithms (a) for finding approximately optimal matchings, when the cost of a matching is the $L_p$-norm of the tuple of the Euclidean distances between the pairs of matched points, for any $pin [1,infty]$, and (b)~for constructing small-size approximate minimization (or matching) diagrams: partitions of the translation space into regions, together with an approximate optimal matching for each region. |
Year | DOI | Venue |
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2018 | 10.4230/LIPIcs.ISAAC.2018.26 | ISAAC |
DocType | Volume | Citations |
Conference | abs/1810.10466 | 0 |
PageRank | References | Authors |
0.34 | 0 | 7 |
Name | Order | Citations | PageRank |
---|---|---|---|
Pankaj K. Agarwal | 1 | 5257 | 593.81 |
Haim Kaplan | 2 | 3581 | 263.96 |
Geva Kipper | 3 | 0 | 0.34 |
Wolfgang Mulzer | 4 | 257 | 36.08 |
Günter Rote | 5 | 1181 | 129.29 |
Micha Sharir | 6 | 8405 | 1183.84 |
Allen Xiao | 7 | 3 | 1.09 |