swMATH ID: 4419
Software Authors: C. Bradford Barber , Hannu Huhdanpaa
Description: The convex hull of a point set P is the smallest convex set that contains P. If P is finite, the convex hull defines a matrix A and a vector b such that for all x in P, Ax+b <= [0,...].Qhull computes the convex hull in 2-d, 3-d, 4-d, and higher dimensions. Qhull represents a convex hull as a list of facets. Each facet has a set of vertices, a set of neighboring facets, and a halfspace. A halfspace is defined by a unit normal and an offset (i.e., a row of A and an element of b).Qhull accounts for round-off error. It returns ”thick” facets defined by two parallel hyperplanes. The outer planes contain all input points. The inner planes exclude all output vertices. See Imprecise convex hulls.Qhull may be used for the Delaunay triangulation or the Voronoi diagram of a set of points. It may be used for the intersection of halfspaces.
Homepage: http://www.qhull.org/
Operating Systems: Qhull 2012.1 fixes qhull-go for Windows 64-bit. If you use Qhull 2003.1. please upgrade to 2012.1
Related Software: Matlab; CGAL; Triangle; UCI-ml; R; cdd; TetGen; Hull; Mathematica; polymake; Voronoi; SeDuMi; Maple; DistMesh; CUDA; LEDA; 2D triangulations; CPLEX; LMI toolbox; mclust
Cited in: 332 Documents
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6 Bruno, Alexander Dmitrievich
4 Liu, Xiaohui
3 Feschet, Fabien
3 Gérard, Yan
3 Lachaud, Jacques-Olivier
3 Mosler, Karl Clemens
3 Ping, Xubin
3 Schirra, Stefan
3 Zuo, Yijun
2 Aguilera, Néstor E.
2 Ahmadabadi, Alireza
2 Alfaro, Iciar
2 Alur, Rajeev
2 Aparicio, Juan Pablo
2 Badia, Santiago
2 Bonnans, Joseph Frédéric
2 Brandi, Rafael Bruno S.
2 Court, Sébastien
2 Crombez, Loïc
2 Cueto, Elias
2 da Fonseca, Guilherme Dias
2 Dang, Thao
2 Daryin, Alexander N.
2 Doblaré, Manuel
2 Faes, Matthias G. R.
2 Galambos, Péter
2 Hoàng, Nam-Dũng
2 Hurtado, Ferran
2 Ibrahimbegović, Adnan
2 Ivančić, Franjo
2 Jones, Colin Neil
2 Kalantari, Bahman
2 Kumar, Piyush
2 Kuti, József
2 Linh, Nguyen Kieu
2 Llanas, Bernardo
2 Lucarini, Valerio
2 Luo, Shousheng
2 Martín, Alberto F.
2 Matsuda, Keigo
2 Mehlhorn, Kurt
2 Moens, David
2 Montes de Oca, Saúl
2 Morin, Pedro
2 Mozharovskyi, Pavlo
2 Mühlenstädt, Thomas
2 Näher, Stefan
2 Olesen, Ole Bent
2 Oujia, Thibault
2 Paindaveine, Davy
2 Pion, Sylvain
2 Puig, Vicenç
2 Rudloff, Birgit
2 Sáinz, Francisco Javier
2 Schneider, Kai
2 Šiman, Miroslav
2 Sloane, Neil James Alexander
2 Snoeyink, Jack Scott
2 Sun, Ning
2 Tai, Xuecheng
2 Wall, Wolfgang A.
2 Zhang, Yikai
1 Abdol Azis, Mohd Hazmil
1 Abendroth, Martin
1 Agarwal, Pankaj Kumar
1 Aissi, Hassene
1 Al-Shammari, Abdallah A.
1 Alberich, Ricardo
1 Allgower, Frank
1 Alves, Maria João
1 Amato, Francesco
1 An, Phan Thanh
1 An, Qingxian
1 Anagnostopoulos, Christoforos
1 Andersons, Tomass
1 Andreev, N. A.
1 Angelikopoulos, Panagiotis
1 Antonietti, Paola Francesca
1 Antonini, Giulio
1 Apte, Sourabh V.
1 Arab, S. S.
1 Argamon-Engelson, Shlomo
1 Aroca Tomim, Marcelo
1 Arruda, José Roberto F.
1 Asmild, Mette
1 Aurenhammer, Franz
1 Avella, Pasquale
1 Avis, David M.
1 Awasthi, Pranjal
1 Ayyagari, Ravi Sastri
1 Bacic, Marko
1 Backes, Tracy M.
1 Bähr, Martin
1 Ballerstein, Martin
1 Bambach, Markus
1 Baňas, Ľubomír
1 Bandyopadhyay, Deepak
1 Baraff, David
1 Baranyi, Péter
1 Barber, C. Bradford
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Cited in 147 Serials

14 Computer Methods in Applied Mechanics and Engineering
12 Journal of Computational Physics
10 European Journal of Operational Research
8 Computational Optimization and Applications
7 ACM Transactions on Mathematical Software
7 International Journal for Numerical Methods in Engineering
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5 Journal of Computational and Applied Mathematics
5 Annals of Operations Research
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3 Journal of High Energy Physics
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2 Acta Mechanica
2 International Journal for Numerical Methods in Fluids
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2 Journal of the Franklin Institute
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Cited in 41 Fields

95 Numerical analysis (65-XX)
79 Computer science (68-XX)
71 Operations research, mathematical programming (90-XX)
48 Statistics (62-XX)
33 Convex and discrete geometry (52-XX)
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26 Systems theory; control (93-XX)
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6 Number theory (11-XX)
6 Mechanics of particles and systems (70-XX)
4 Optics, electromagnetic theory (78-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Real functions (26-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Manifolds and cell complexes (57-XX)
3 Geophysics (86-XX)
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2 Group theory and generalizations (20-XX)
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1 Relativity and gravitational theory (83-XX)

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