Lines in space - combinatorics, algorithms and applications

Bernard Chazelle; Herbert Edelsbrunner; Leonidas J. Guibas; Micha Sharir

Lines in space - combinatorics, algorithms and applications

Bernard Chazelle^*, Herbert Edelsbrunner, Leonidas J. Guibas, Micha Sharir

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We study combinatorial and algorithmic problems involving arrangements of n lines in 3-dimensional space, and then present applications of our results to a variety of problems on polyhedral terrains. The tools used to obtain the results include Pluecker coordinates for lines in space, random sampling in geometric problems, and a new variant of segment trees.

Original language	English
Title of host publication	Proc Twenty First Annu ACM Symp Theory Comput
Publisher	Association for Computing Machinery (ACM)
Pages	382-393
Number of pages	12
ISBN (Print)	0897913078
State	Published - 1989
Externally published	Yes
Event	Proceedings of the Twenty First Annual ACM Symposium on Theory of Computing - Seattle, WA, USA Duration: 15 May 1989 → 17 May 1989

Publication series

Name	Proc Twenty First Annu ACM Symp Theory Comput

Conference

Conference	Proceedings of the Twenty First Annual ACM Symposium on Theory of Computing
City	Seattle, WA, USA
Period	15/05/89 → 17/05/89

Cite this

@inproceedings{ce9fb0bad72e426893e7a7bf928d032e,

title = "Lines in space - combinatorics, algorithms and applications",

abstract = "We study combinatorial and algorithmic problems involving arrangements of n lines in 3-dimensional space, and then present applications of our results to a variety of problems on polyhedral terrains. The tools used to obtain the results include Pluecker coordinates for lines in space, random sampling in geometric problems, and a new variant of segment trees.",

author = "Bernard Chazelle and Herbert Edelsbrunner and Guibas, {Leonidas J.} and Micha Sharir",

year = "1989",

language = "אנגלית",

isbn = "0897913078",

series = "Proc Twenty First Annu ACM Symp Theory Comput",

publisher = "Association for Computing Machinery (ACM)",

pages = "382--393",

booktitle = "Proc Twenty First Annu ACM Symp Theory Comput",

address = "ארצות הברית",

note = "null ; Conference date: 15-05-1989 Through 17-05-1989",

}

Chazelle, B, Edelsbrunner, H, Guibas, LJ & Sharir, M 1989, Lines in space - combinatorics, algorithms and applications. in Proc Twenty First Annu ACM Symp Theory Comput. Proc Twenty First Annu ACM Symp Theory Comput, Association for Computing Machinery (ACM), pp. 382-393, Proceedings of the Twenty First Annual ACM Symposium on Theory of Computing, Seattle, WA, USA, 15/05/89.

Lines in space - combinatorics, algorithms and applications. / Chazelle, Bernard; Edelsbrunner, Herbert; Guibas, Leonidas J. et al.

Proc Twenty First Annu ACM Symp Theory Comput. Association for Computing Machinery (ACM), 1989. p. 382-393 (Proc Twenty First Annu ACM Symp Theory Comput).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Lines in space - combinatorics, algorithms and applications

AU - Chazelle, Bernard

AU - Edelsbrunner, Herbert

AU - Guibas, Leonidas J.

AU - Sharir, Micha

PY - 1989

Y1 - 1989

N2 - We study combinatorial and algorithmic problems involving arrangements of n lines in 3-dimensional space, and then present applications of our results to a variety of problems on polyhedral terrains. The tools used to obtain the results include Pluecker coordinates for lines in space, random sampling in geometric problems, and a new variant of segment trees.

AB - We study combinatorial and algorithmic problems involving arrangements of n lines in 3-dimensional space, and then present applications of our results to a variety of problems on polyhedral terrains. The tools used to obtain the results include Pluecker coordinates for lines in space, random sampling in geometric problems, and a new variant of segment trees.

UR - http://www.scopus.com/inward/record.url?scp=0024860012&partnerID=8YFLogxK

M3 - פרסום בספר כנס

AN - SCOPUS:0024860012

SN - 0897913078

T3 - Proc Twenty First Annu ACM Symp Theory Comput

SP - 382

EP - 393

BT - Proc Twenty First Annu ACM Symp Theory Comput

PB - Association for Computing Machinery (ACM)

Y2 - 15 May 1989 through 17 May 1989

ER -

Lines in space - combinatorics, algorithms and applications

Abstract

Publication series

Conference

Other files and links

Fingerprint

Cite this