TY - GEN

T1 - Stabbing segments with rectilinear objects

AU - Claverol, Mercè

AU - Garijo, Delia

AU - Korman, Matias

AU - Seara, Carlos

AU - Silveira, Rodrigo I.

N1 - Publisher Copyright:
© Springer International Publishing Switzerland 2015.

PY - 2015

Y1 - 2015

N2 - We consider stabbing regions for a set S of n line segments in the plane, that is, regions in the plane that contain exactly one endpoint of each segment of S. Concretely, we provide efficient algorithms for reporting all combinatorially different stabbing regions for S for regions that can be described as the intersection of axis-parallel halfplanes; these are halfplanes, strips, quadrants, 3-sided rectangles, and rectangles. The running times are O(n) (for the halfplane case), O(n log n) (for strips, quadrants, and 3-sided rectangles), and O(n2 log n) (for rectangles).

AB - We consider stabbing regions for a set S of n line segments in the plane, that is, regions in the plane that contain exactly one endpoint of each segment of S. Concretely, we provide efficient algorithms for reporting all combinatorially different stabbing regions for S for regions that can be described as the intersection of axis-parallel halfplanes; these are halfplanes, strips, quadrants, 3-sided rectangles, and rectangles. The running times are O(n) (for the halfplane case), O(n log n) (for strips, quadrants, and 3-sided rectangles), and O(n2 log n) (for rectangles).

UR - http://www.scopus.com/inward/record.url?scp=84943649008&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84943649008&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-22177-9_5

DO - 10.1007/978-3-319-22177-9_5

M3 - Conference contribution

AN - SCOPUS:84943649008

SN - 9783319221762

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

SP - 53

EP - 64

BT - Fundamentals of Computation Theory - 20th International Symposium, FCT 2015, Proceedings

A2 - Walukiewicz, Igor

A2 - Kosowski, Adrian

PB - Springer Verlag

T2 - 20th International Symposium on Fundamentals of Computation Theory, FCT 2015

Y2 - 17 August 2015 through 19 August 2015

ER -