Recent developments in the theory of arrangements of surfaces

Micha Sharir*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We review recent progress in the study of arrangements of surfaces in higher dimensions. This progress involves new and nearly tight bounds on the complexity of lower envelopes, single cells, zones, and other substructures in such arrangements, and the design of efficient algorithms (near optimal in the worst case) for constructing and manipulating these structures. We then present applications of the new results to a variety of problems in computational geometry and its applications, including motion planning, Voronoi diagrams, union of geometric objects, visibility, and geometric optimization.

Original languageEnglish
Title of host publicationFoundations of Software Technology and Theoretical Computer Science - 19th Conference, Proceedings
EditorsC. Pandu Rangan, V. Raman, R. Ramanujam
PublisherSpringer Verlag
Pages1-21
Number of pages21
ISBN (Print)3540668365, 9783540668367
DOIs
StatePublished - 1999
Event19th Conference on Foundations of Software Technology and Theoretical Computer Science, FSTandTCS 1999 - Chennai, India
Duration: 13 Dec 199915 Dec 1999

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1738
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference19th Conference on Foundations of Software Technology and Theoretical Computer Science, FSTandTCS 1999
Country/TerritoryIndia
CityChennai
Period13/12/9915/12/99

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