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
Y1 - 2011
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 -