Read e-book online Algorithms — ESA 2002: 10th Annual European Symposium Rome, PDF

By William Cook (auth.), Rolf Möhring, Rajeev Raman (eds.)

ISBN-10: 3540441808

ISBN-13: 9783540441809

ISBN-10: 3540457496

ISBN-13: 9783540457497

This quantity includes the seventy four contributed papers and abstracts of four of the five invited talks awarded on the tenth Annual eu Symposium on Algorithms (ESA 2002), held on the college of Rome “La Sapienza”, Rome, Italy, 17-21 September, 2002. For the ?rst time, ESA had tracks, with separate software committees, which dealt respectively with: – the layout and mathematical research of algorithms (the “Design and An- ysis” track); – real-world purposes, engineering and experimental research of algorithms (the “Engineering and functions” track). earlier ESAs have been held in undesirable Honnef, Germany (1993); Utrecht, The Neth- lands (1994); Corfu, Greece (1995); Barcelona, Spain (1996); Graz, Austria (1997); Venice, Italy (1998); Prague, Czech Republic (1999); Saarbruc ¨ ken, Ger- ? many (2000), and Arhus, Denmark (2001). The predecessor to the Engineering and purposes song of ESA used to be the once a year Workshop on set of rules En- neering (WAE). prior WAEs have been held in Venice, Italy (1997), Saarbruc ¨ ken, ? Germany (1998), London, united kingdom (1999), Saarbru ¨cken, Germany (2000), and Arhus, Denmark (2001). The lawsuits of the former ESAs have been released as Springer LNCS volumes 726, 855, 979, 1284, 1461, 1643, 1879, and 2161. The lawsuits of WAEs from 1999 onwards have been released as Springer LNCS volumes 1668, 1982, and 2161.

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L. Bentley. Multidimensional binary search trees used for associative searching. Communications of the ACM, 18(9):509–517, 1975. 6 [8] R. Cole, J. Salowe, W. Steiger, and E. Szemer´edi. An optimal-time algorithm for slope selection. SIAM J. , 18(4):792–810, 1989. 9 [9] W. Cunto, G. Lau, and P. Flajolet. Analysis of kdt-trees: kd-trees improved by local reorganisations. Workshop on Algorithms and Data Structures (WADS’89), 382:24–38, 1989. 7 [10] M. de Berg, M. van Kreveld, M. Overmars, and O. Schwarzkopf.

In Section 4, we present extensions to higher dimensions. Range Searching in Categorical Data: Colored Range Searching on Grid 2 21 Colored Range Searching in 2D In this section, we describe a data structure to solve the colored range-searching problem on U × U grid. 1, we present a structure to answer the 1dimensional colored range query. 2 we extend the data structure to answer two dimensional colored range queries. The main idea of the extension is as follows. We make the 1-dimensional structure partially persistent and use the sweep-line paradigm to answer three-sided queries.

Relations between simplifications. We further analyze the relations between simplification under Hausdorff and Fr´echet error measures, and Fr´echet and weak Fr´echet ε-simplification in Section 4. 2 Hausdorff Simplification Let P = p1 , . . , pn be a monotone polygonal curve in R2 or R3 . p, q) ≤ r} be the disk of radius r centered at p. Let Di denote D(pi , ε). e. δH (pi pj ) ≤ ε, if and only if pi pj intersects Di+1 , . . , Dj−1 in order. We now define a general problem, and use it to compute ε-simplification of polygonal curves under different distance metrics.

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Algorithms — ESA 2002: 10th Annual European Symposium Rome, Italy, September 17–21, 2002 Proceedings by William Cook (auth.), Rolf Möhring, Rajeev Raman (eds.)

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