Triangular range counting query in 2D and its application in finding k nearest neighbors of a line segment

Computational Geometry - Tập 29 - Trang 163-175 - 2004
Partha P. Goswami1, Sandip Das2, Subhas C. Nandy2
1Computer Center, Calcutta University, Kolkata, 700 029, India
2ACM Unit, Indian Statistical Institute, Kolkata 700 108, India

Tài liệu tham khảo

Agarwal, 1998, Constructing levels in arrangement and higher order Voronoi diagram, SIAM J. Comput, 27, 654, 10.1137/S0097539795281840 Agarwal, 1996, Geometric range searching and its relatives, Advances in Discrete and Computational Geometry, vol. 223, 1 Agarwal, 1995, Dynamic half-space range reporting and its applications, Algorithmica, 13, 325, 10.1007/BF01293483 Bespamyatnikh, 2003, Computing closest points for segments, Internat. J. Comput. Geom. Appl, 13, 419, 10.1142/S0218195903001268 Bespamyatnikh, 2000, Queries with segments in Voronoi diagram, Computational Geometry, 16, 23, 10.1016/S0925-7721(99)00055-3 Chan, 2000, Random sampling, halfspace range reporting, and construction of (⩽k)-levels in three dimension, SIAM J. Comput, 30, 561, 10.1137/S0097539798349188 Chazelle, 1993, Cutting hyperplanes for divide-and-conquer, Discrete Comput. Geom, 9, 145, 10.1007/BF02189314 Chazelle, 1986, Fractional cascading—II. Applications, Algorithmica, 1, 163, 10.1007/BF01840441 Chazelle, 1992, Quasi-optimal upper bounds for simplex range searching and new zone theorems, Algorithmica, 8, 407, 10.1007/BF01758854 Cole, 1986, Searching and storing similar lists, J. Algorithms, 7, 202, 10.1016/0196-6774(86)90004-0 Cole, 1984, Geometric retrieval problems, Inform. and Control, 63, 39, 10.1016/S0019-9958(84)80040-6 Edelsbrunner, 1987 Edelsbrunner, 1986, Halfplanar range search in linear space and O(n.695) query time, Inform. Process. Lett, 23, 289, 10.1016/0020-0190(86)90088-8 Lee, 1985, The power of geometric duality revisited, Inform. Process. Lett, 21, 117, 10.1016/0020-0190(85)90015-8 Matousek, 1993, Range searching with efficient hierarchical cutting, Discrete Comput. Geom, 10, 157, 10.1007/BF02573972 Mitra, 1998, Efficiently computing the closest point to a query line, Pattern Recogn. Lett, 19, 1027, 10.1016/S0167-8655(98)00080-4 Mukhopadhyay, 2002, Using simplicial partitions to determine a closest point to a query line, 10 Nandy, 2003, An efficient k-nearest neighbors searching algorithm for a query line, Theoret. Comput. Sci, 299, 273, 10.1016/S0304-3975(02)00322-5