Keyword

point location

Description: A computational geometry problem of determining which region of a geometric subdivision contains a given point.

Primary topic: Computational Geometry and Mesh Generation (49%)

Wikidata ID: wiki/Q7208210

OpenAlex ID: keywords/point-location

Computational Geometry

1985 · Franco P. Preparata, Michael Ian Shamos · Springer eBooks · 3,707

Handbook of Discrete and Computational Geometry, Second Edition

2004 · Chapman & Hall/CRC eBooks · 1,208

Optimal Search in Planar Subdivisions

1983 · David Kirkpatrick · SIAM Journal on Computing · 739

Computational geometry : an introduction through randomized algorithms

1994 · Ketan Mulmuley · 542

Optimal Point Location in a Monotone Subdivision

1986 · Herbert Edelsbrunner, Leonidas J. Guibas, et al. · SIAM Journal on Computing · 493

Randomized incremental construction of Delaunay and Voronoi diagrams

1992 · Leonidas J. Guibas, Donald E. Knuth, et al. · Algorithmica · 479

Geometric Tools for Computer Graphics

2003 · Elsevier eBooks · 401

Cutting hyperplanes for divide-and-conquer

1993 · Bernard Chazelle · Discrete & Computational Geometry · 270

PDF

Algorithm 112: Position of point relative to polygon

1962 · M. Shimrat · Communications of the ACM · 265

Computational Geometry

1984 · Kurt Mehlhorn · Springer eBooks · 244

Computational geometry in C (2nd ed.)

1998 · Joseph O’Rourke · Cambridge University Press eBooks · 224

Location of a Point in a Planar Subdivision and Its Applications

1977 · D. T. Lee, F. P. Preparata · SIAM Journal on Computing · 221

Separators for sphere-packings and nearest neighbor graphs

1997 · Gary L. Miller, Shang-Hua Teng, et al. · Journal of the ACM · 218

PDF

On the convex layers of a planar set

1985 · B. Chazelle · IEEE Transactions on Information Theory · 188

Storing a collection of polygons using quadtrees

1985 · Hanan Samet, Robert E. Webber · ACM Transactions on Graphics · 185

PDF

A pyramidal data structure for triangle-based surface description

1989 · L. De Floriani · IEEE Computer Graphics and Applications · 171

Dynamic algorithms in computational geometry

1992 · Y.-J. Chiang, R. Tamassia · Proceedings of the IEEE · 164

Point Location in Arrangements of Hyperplanes

1993 · S. Meiser · Information and Computation · 154

A singly exponential stratification scheme for real semi-algebraic varieties and its applications

1991 · Bernard Chazelle, Herbert Edelsbrunner, et al. · Theoretical Computer Science · 153

Fast randomized point location without preprocessing in two- and three-dimensional Delaunay triangulations

1996 · Ernst P. Mücke, Isaac Saias, et al. · Annual Symposium on Computational Geometry (SoCG) · 151

Efficient Structures for Geometric Data Management

1988 · Springer eBooks · 139

Simple and Efficient Traversal Methods for Quadtrees and Octrees

2002 · Sarah F. Frisken, Ronald N. Perry · Journal of Graphics Tools · 137

Range Searching and Point Location among Fat Objects

1996 · Mark H. Overmars, Frank A. van der Stappen · Journal of Algorithms · 134

Some location problems for robot navigation using a single camera

1988 · Kokichi Sugihara · Computer Vision Graphics and Image Processing · 130

Computational Geometry in C Second Edition

1998 · Joseph O’Rourke · 126

Works count: 954

Citation count: 17,460