de.mpg.escidoc.pubman.appbase.FacesBean
Deutsch

Hilfe Wegweiser Impressum Kontakt Einloggen

# Datensatz

DATENSATZ AKTIONENEXPORT

Freigegeben

Bericht

#### A technique for adding range restrictions to generalized searching problems

##### MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons44551

Gupta,  Prosenjit
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons45509

Smid,  Michiel
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

##### Externe Ressourcen
Es sind keine Externen Ressourcen verfügbar
##### Volltexte (frei zugänglich)

1996-1-017
(beliebiger Volltext), 10KB

##### Ergänzendes Material (frei zugänglich)
Es sind keine frei zugänglichen Ergänzenden Materialien verfügbar
##### Zitation

Gupta, P., Janardan, R., & Smid, M.(1996). A technique for adding range restrictions to generalized searching problems (MPI-I-1996-1-017). Saarbrücken: Max-Planck-Institut für Informatik.

In a generalized searching problem, a set $S$ of $n$ colored geometric objects has to be stored in a data structure, such that for any given query object $q$, the distinct colors of the objects of $S$ intersected by $q$ can be reported efficiently. In this paper, a general technique is presented for adding a range restriction to such a problem. The technique is applied to the problem of querying a set of colored points (resp.\ fat triangles) with a fat triangle (resp.\ point). For both problems, a data structure is obtained having size $O(n^{1+\epsilon})$ and query time $O((\log n)^2 + C)$. Here, $C$ denotes the number of colors reported by the query, and $\epsilon$ is an arbitrarily small positive constant.