Title
Dynamization of the trapezoid method for planar point location (extended abstract)
Abstract
We present a fully dynamic data structure for point location in a monotone subdivision, based on the trapezoid method. The operations supported are insertion and deletion of vertices and edges, and horizontal translation of vertices. Let n be the cur- rent number of vertices of the subdivision. Point lo- cation queries take O(log n) time, while updates take 0(log2 n) time. The space requirement is O(n log n). This is the first fully dynamic point location data struc- ture for monotone subdivisions that achieves optimal query time.
Year
DOI
Venue
1991
10.1145/109648.109655
Symposium on Computational Geometry 2013
Keywords
Field
DocType
planar point location,trapezoid method,point location
Topology,Combinatorics,Dynamization,Point location,Computer science,Planar
Conference
ISBN
Citations 
PageRank 
0-89791-426-0
7
0.72
References 
Authors
15
2
Name
Order
Citations
PageRank
Yi-jen Chiang150338.21
R Tamassia24686550.39