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Handbook of Discrete and Computational Geometry, Second Edition 2004

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Jacob E. Goodman, Joseph O'Rourke:
Handbook of Discrete and Computational Geometry, Second Edition. Chapman and Hall/CRC 2004, ISBN 978-1-58488-301-2

Combinatorial and Discrete Geometry

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János Pach:
Finite Point Configurations. 3-24
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Gábor Fejes Tóth:
Packing and Covering. 25-52
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Doris Schattschneider, Marjorie Senechal:
Tilings. 53-72
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Rephael Wenger:
Helly-Type Theorems and Geometric Transversals. 73-96
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Jacob E. Goodman:
Pseudoline Arrangements. 97-128
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Jürgen Richter-Gebert, Günter M. Ziegler:
Oriented Matroids. 129-151
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Alexander I. Barvinok:
Lattice Points and Lattice Polytopes. 153-176
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Piotr Indyk, Jirí Matousek:
Low-Distortion Embeddings of Finite Metric Spaces. 177-196
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Robert Connelly, Erik D. Demaine:
Geometry and Topology of Polygonal Linkages. 197-218
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János Pach:
Geometric Graph Theory. 219-238
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Ronald L. Graham:
Euclidean Ramsey Theory. 239-254
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Rolf Schneider:
Discrete Aspects of Stochastic Geometry. 255-278
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J. Ralph Alexander, József Beck, William W. L. Chen:
Geometric Discrepancy Theory Anduniform Distribution. 279-304
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Rade T. Zivaljevic:
Topological Methods. 305-329
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Solomon W. Golomb, David A. Klarner:
Polyominoes. 331-352

Polytopes abd Polyhedra

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Martin Henk, Jürgen Richter-Gebert, Günter M. Ziegler:
Basic Properties of Convex Polytopes. 355-382
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Carl W. Lee:
Subdivisions and Triangulationsof Polytopes. 383-406
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Louis J. Billera, Anders Björner:
Face Numbers of Polytopes and Complexes. 407-430
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Egon Schulte:
Symmetry of Polytopes and Polyhedra. 431-454
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Gil Kalai:
Polytope Skeletons and Paths. 455-476
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Egon Schulte, Ulrich Brehm:
Polyhedral Maps. 477-491

Algorithms and Complexity of Fundamental Geometric Objects

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Raimund Seidel:
Convex Hull Computations. 495-512
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Steven Fortune:
Voronoi Diagrams and Delaunay Triangulations. 513-528
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Dan Halperin:
Arrangements. 529-562
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Marshall W. Bern:
Triangulations and Mesh Generation. 563-582
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Joseph O'Rourke, Subhash Suri:
Polygons. 583-606
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Joseph S. B. Mitchell:
Shortest Paths and Networks. 607-641
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Joseph O'Rourke:
Visibility. 643-663
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Steven Skiena:
Geometric Reconstruction Problems. 665-676
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Tamal K. Dey:
Curve and Surface Reconstruction. 677-692
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Peter Gritzmann, Victor Klee:
Computational Convexity. 693-718
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Gert Vegter:
Computational Topology. 719-742
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Bhubaneswar Mishra:
Computational Real Algebraic Geometry. 743-764

Geometric Data Structures and Searching

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Jack Snoeyink:
Point Location. 767-785
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Dinesh Manocha, Ming C. Lin:
Collision and Proximity Queries. 787-807
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Pankaj K. Agarwal:
Range Searching. 809-837
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Marco Pellegrini:
Ray Shooting and Lines in Space. 839-856
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David M. Mount:
Geometric Intersection. 857-876
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Piotr Indyk:
Nearest Neighbors in High-Dimensional Spaces. 877-892

Computational Techniques

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Otfried Cheong, Ketan Mulmuley, Edgar Ramos:
Randomization and derandomization. 895-926
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Chee K. Yap:
Robust geometric computation. 927-952
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Michael T. Goodrich:
Parallel algorithms in geometry. 953-967
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Jeffrey S. Salowe:
Parametric search. 969-982
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Bernard Chazelle:
The discrepancy method in computational geometry. 983-996

Applications of Discrete and Compuational Geometry

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Martin E. Dyer, Nimrod Megiddo, Emo Welzl:
Linear programming. 999-1014
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Michael J. Todd:
Mathematical programming. 1015-1036
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Micha Sharir:
Algorithmic motion planning. 1037-1064
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Dan Halperin, Lydia E. Kavraki, Jean-Claude Latombe:
Robotics. 1065-1093
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David P. Dobkin, Seth J. Teller:
Computer graphics. 1095-1116
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Leonidas J. Guibas:
Modeling motion. 1117-1134
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Joseph O'Rourke, Godfried T. Toussaint:
Pattern recognition. 1135-1162
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Roberto Tamassia, Giuseppe Liotta:
Graph drawing. 1163-1185
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Chandrajit L. Bajaj:
Splines and geometric modeling. 1187-1208
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Jarek Rossignac:
Surface simplification and 3D geometry compression. 1209-1240
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Ravi Janardan, Tony C. Woo:
Manufacturing processes. 1241-1256
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Christoph M. Hoffmann:
Solid modeling. 1257-1278
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Peter J. Rousseeuw, Anja Struyf:
Computation of robust statistics. 1279-1292
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Marc J. van Kreveld:
Geographic information systems. 1293-1314
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Neil L. White:
Geometric applications of the grassmann-cayley algebra. 1315-1326
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Walter Whiteley:
Rigidity and scene analysis. 1327-1354
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Gregory A. Kabatiansky, J. A. Rush:
Sphere packing and coding theory. 1355-1376
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Marjorie Senechal:
Crystals and quasicrystals. 1377-1393
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Herbert Edelsbrunner:
Biological applications of computational topology. 1395-1412

Geometric Software

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Michael Joswig:
Software. 1415-1433
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Lutz Kettner, Stefan Näher:
Two computational geometry libraries: LEDA and CGAL. 1435-1463

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