NDLI: SERIE B INFORMATIK Dynamic Point Location in General Subdivisions

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SERIE B INFORMATIK Dynamic Point Location in General Subdivisions

Content Provider	Semantic Scholar
Author	Baumgarten, H. Jung, Hermann Mehlhorn, Kurt Janardan, Cheng
Copyright Year	2009
Abstract	The dynamic planar point location problem is the task of maintaining a dynamic set S of n non intersecting except possibly at endpoints line segments in the plane under the following operations Locate q point Report the segment immediately above q i e the rst segment intersected by an upward vertical ray starting at q Insert s segment Add segment s to the collection S of segments Delete s segment Remove segment s from the collection S of segments We present a solution which requires space O n has query and insertion time O log n loglog n and deletion time O log n A query time below O log n was previously only known for monotone subdivisions and horizontal segments and re quired non linear space Graduiertenkolleg Algorithmische Diskrete Mathematik Institut f ur Informatik Freie Universit at Berlin Arnimallee W Berlin Germany This work is supported by the Deutsche Forschungsgemeinschaft under grant WE Fachbereich Informatik Humboldt Universit at Berlin PSF O Berlin Germany Max Planck Institut f ur Informatik and Fachbereich Informatik der Universit at des Saarlandes W Saarbr ucken Germany This work is supported by the ESPRIT II Basic Research Actions Program of the EC under contract no project ALCOM Subdivision Space Locate Insert Delete Reference horizontal n logn logn loglogn logn loglogn logn loglogn Mehlhorn N aher segments monotone n log n log n log n Preparata Tamassia monotone n logn logn log n log n Chiang Tamassia monotone n log n logn logn Goodrich Tamassia connected n log n log n Fries Mehlhorn connected n log n log n log n Fries general n logn log n log n log n Bentley general n log n logn logn Cheng Janardan general n logn logn loglogn logn loglogn log n this paper section general n logn loglogn logn loglogn log n this paper section Figure Running Times of Dynamic Point Location Structures
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Alternate Webpage(s)	http://edocs.fu-berlin.de/docs/servlets/MCRFileNodeServlet/FUDOCS_derivate_000000000241/1992_10.pdf
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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