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Point Location Voronoi Diagram
"... Below is a tentative list of the subjects of the seminar. Extra information can be found in my homepage ..."
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Below is a tentative list of the subjects of the seminar. Extra information can be found in my homepage
Point location in disconnected planar subdivisions
, 2010
"... Let G be a (possibly disconnected) planar subdivision and let D be a probability measure over R2. The current paper shows how to preprocess (G,D) into an O(n) size data structure that can answer planar point location queries over G. The expected query time of this data structure, for a query point ..."
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Cited by 1 (0 self)
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Let G be a (possibly disconnected) planar subdivision and let D be a probability measure over R2. The current paper shows how to preprocess (G,D) into an O(n) size data structure that can answer planar point location queries over G. The expected query time of this data structure, for a query
Pointsto Analysis in Almost Linear Time
, 1996
"... We present an interprocedural flowinsensitive pointsto analysis based on type inference methods with an almost linear time cost complexity. To our knowledge, this is the asymptotically fastest nontrivial interprocedural pointsto analysis algorithm yet described. The algorithm is based on a nons ..."
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Cited by 595 (3 self)
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standard type system. The type inferred for any variable represents a set of locations and includes a type which in turn represents a set of locations possibly pointed to by the variable. The type inferred for a function variable represents a set of functions it may point to and includes a type signature
Tapestry: An infrastructure for faulttolerant widearea location and routing
, 2001
"... In today’s chaotic network, data and services are mobile and replicated widely for availability, durability, and locality. Components within this infrastructure interact in rich and complex ways, greatly stressing traditional approaches to name service and routing. This paper explores an alternative ..."
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Cited by 1250 (31 self)
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an alternative to traditional approaches called Tapestry. Tapestry is an overlay location and routing infrastructure that provides locationindependent routing of messages directly to the closest copy of an object or service using only pointtopoint links and without centralized resources. The routing
Hybrid Walking Point Location Algorithm
"... Abstract—Finding which triangle in a planar triangular mesh contains a query point (socalled point location problem) is one of the most frequent tasks in computational geometry. Therefore, using an algorithm with the lowest possible complexity is appropriate. However, such complexity may be achiev ..."
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Abstract—Finding which triangle in a planar triangular mesh contains a query point (socalled point location problem) is one of the most frequent tasks in computational geometry. Therefore, using an algorithm with the lowest possible complexity is appropriate. However, such complexity may
I/OEfficient Dynamic Planar Point Location
"... We present the first provably I/Oefficient dynamic data structure for point location in a general planar subdivision. Our structure uses O(N/B) disk blocks to store a subdivision of size N , where B is the disk block size. Queries can be answered in ... I/Os in the worstcase, and insertions and de ..."
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Cited by 31 (15 self)
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We present the first provably I/Oefficient dynamic data structure for point location in a general planar subdivision. Our structure uses O(N/B) disk blocks to store a subdivision of size N , where B is the disk block size. Queries can be answered in ... I/Os in the worstcase, and insertions
Dynamization of the Trapezoid Method for Planar Point Location
, 1991
"... 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 current number of vertices of the subdivision. Point ..."
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Cited by 15 (4 self)
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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 current number of vertices of the subdivision. Point
Two and ThreeDimensional Point Location in Rectangular Subdivisions
 Journal of Algorithms
, 1995
"... We apply van Emde Boastype stratified trees to point location problems in rectangular subdivisions in 2 and 3 dimensions. In a subdivision with n rectangles having integer coordinates from [0; U \Gamma 1], we locate an integer query point in O((log log U ) d ) query time using O(n) space when d ..."
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Cited by 19 (1 self)
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We apply van Emde Boastype stratified trees to point location problems in rectangular subdivisions in 2 and 3 dimensions. In a subdivision with n rectangles having integer coordinates from [0; U \Gamma 1], we locate an integer query point in O((log log U ) d ) query time using O(n) space when d
Succinct Geometric Indexes Supporting Point Location Queries
"... We propose to design data structures called succinct geometric indexes of negligible space (more precisely, o(n) bits) that support geometric queries in optimal time, by taking advantage of the n points in the data set permuted and stored elsewhere as a sequence. Our first and main result is a succi ..."
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Cited by 11 (5 self)
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succinct geometric index that can answer point location queries, a fundamental problem in computational geometry, on planar triangulations in O(lg n) time1. We also design three variants of this index. The first supports point location using lg n +2 √ lg n + O(lg 1/4 n) pointline comparisons. The second
Results 11  20
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23,873