TY - GEN

T1 - Computing the visibility polygon using few variables

AU - Barba, Luis

AU - Korman, Matias

AU - Langerman, Stefan

AU - Silveira, Rodrigo I.

PY - 2011/12/26

Y1 - 2011/12/26

N2 - We present several algorithms for computing the visibility polygon of a simple polygon from a viewpoint inside the polygon, when the polygon resides in read-only memory and only few working variables can be used. The first algorithm uses a constant number of variables, and outputs the vertices of the visibility polygon in time, where denotes the number of reflex vertices of that are part of the output. The next two algorithms use O(logr) variables, and output the visibility polygon in O(nlogr) randomized expected time or O(nlog 2 r) deterministic time, where r is the number of reflex vertices of .

AB - We present several algorithms for computing the visibility polygon of a simple polygon from a viewpoint inside the polygon, when the polygon resides in read-only memory and only few working variables can be used. The first algorithm uses a constant number of variables, and outputs the vertices of the visibility polygon in time, where denotes the number of reflex vertices of that are part of the output. The next two algorithms use O(logr) variables, and output the visibility polygon in O(nlogr) randomized expected time or O(nlog 2 r) deterministic time, where r is the number of reflex vertices of .

UR - http://www.scopus.com/inward/record.url?scp=84055193601&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84055193601&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-25591-5_9

DO - 10.1007/978-3-642-25591-5_9

M3 - Conference contribution

AN - SCOPUS:84055193601

SN - 9783642255908

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 70

EP - 79

BT - Algorithms and Computation - 22nd International Symposium, ISAAC 2011, Proceedings

T2 - 22nd International Symposium on Algorithms and Computation, ISAAC 2011

Y2 - 5 December 2011 through 8 December 2011

ER -