citations.bib

@BOOK{Cox-Little-Shea97,
  Author =		 {Cox,David and Little, John and O'Shea, Donald},
  Title =		 {Ideals, Varieties, and Algorithms : An Introduction
                  to Computational Algebraic Geometry and Commutative
                  Algebra},
  Publisher =	 {Springer},
  Address =		 {New York, U{SA}},
  Series =		 {Undergraduate Texts in Mathematics},
  Signature =	 {2005-382},
  Year =		 {1997},
  Pages =		 {536},
  Edition =		 {2nd},
  ISSN_ISBN =	 {0-387-94680-2},
  hardcopy =	 {CMP.book.A347},
  pincode =		 {3102005347},
}

@article{F4,
  Author =		{Faug\`ere,Jean-Charles},
  Title =		{A new efficient algorithm for computing Gr\"obner bases ($F_4$)},
  Journal =		{Journal of pure and applied algebra},
  Year =		{1999},
  Number =		{1--3},
  Pages = 		{61--88},
  Volume = 		{139},
  Month =		{July},
  Publisher = 		{Elsevier},
  url = 		{http://www-salsa.lip6.fr/~jcf/Papers/F99a.pdf},
}

@phdthesis{Buchberger65,
  Author = 		{Buchberger, Bruno},
  Title = 		{Ein Algorithmus zum Auffinden der Basiselemente des Rest\-klassenringes nach einem nulldimensionalen Polynomideal},
  School = 		{Mathema\-tical Institute, University of Innsbruck, Austria},
  Year = 		{1965},
}

@Book{Becker93,
author =      {Becker, Thomas and Weispfenning, Volker},
title =       {Gr{\"o}bner Bases, A Computational Approach to Commutative Algebra},
publisher =   {Springer-Verlag},
address =     {New York, NY},
year =        {1993},
isbn =        {0-387-97971-9},
series =      {Graduate Texts in Mathematics},
number =      {141},
hardcopy =    {CMP.book.A411},
signature =   {2006-940},
pincode =     {3102003215},
}

@article{Gebauer-Moller88,
  Author =		{Gebauer,R\"udiger and M\"oller,Hans-Michael},
  Title =		{On an installation of Buchberger's Algorithm},
  Journal =		{Journal of Symbolic Computation},
  Year =		{1988},
  Number =		{2--3},
  Pages = 		{275--286},
  Volume = 		{6},
  Month =		{October},
}

@inproceedings{AutoGen,
  Author = 		{Kukelova,Zuzana and Bujnak,Martin and Pajdla,Tomas},
  Title = 		{Automatic Generator of Minimal Problem Solvers},
  Year = 		{2008},
  Series = 		{ECCV 2008},
  Location = 		{Marseille, France},
  Month = 		{October 12--18},
  Booktitle = 		{Proceedings of The 10th European Conference on Computer Vision},
}

@url{MinimalProblems,
  author = 		{Pajdla,Tomas and Kukelova,Zuzana and Bujnak,Martin},
  title = 		{Minimal problems in Computer Vision},
  howpublished = 	{\url{http://cmp.felk.cvut.cz/minimal/}},
  note = 		{[Online; accessed 2015-04-28]}
}

@url{AutomaticGenerator,
  author = 		{Pajdla,Tomas and Kukelova,Zuzana and Bujnak,Martin},
  title = 		{Automatic generator},
  howpublished = 	{\url{http://cmp.felk.cvut.cz/minimal/automatic_generator.php}},
  note = 		{[Online; accessed 2015-04-28]}
}

@article{5pt,
  author = 		{Stewenius,Henrik and Engels,Christopher and Nister,David},
  title = 		{Recent Developments on Direct Relative Orientation},
  Journal =		{ISPRS Journal of Photogrammetry and Remote Sensing},
  Year =		{2006},
  Number =		{4},
  Pages = 		{284--294},
  Volume = 		{60},
  Month =		{May},
}

@inproceedings{6pt,
  author = 		{Byröd, Martin and Josephson,Klas and  \r{A}str\"om,Kalle},
  title = 		{Improving Numerical Accuracy of Grobner Basis Polynomial Equation Solvers},
  Year = 		{2007},
  Series = 		{ICCV 2007},
  Location = 		{Rio de Janeiro, Brazil},
  Month = 		{October 14--20},
  Booktitle = 		{Eleventh IEEE International Conference on Computer Vision},
}

@article{9pt,
  author = 		{Kukelova, Zuzana and Byröd, Martin and Josephson,Klas and Pajdla,Tomas and  \r{A}str\"om,Kalle},
  title = 		{Fast and robust numerical solutions to minimal problems for cameras with radial distortion},
  Journal =		{Computer Vision and Image Understanding},
  Year =		{2010},
  Number =		{2},
  Pages = 		{234-244},
  Volume = 		{114},
  Month =		{February},
}

@url{M2,
  author = 		{Grayson, Daniel R. and Stillman, Michael E.},
  title = 		{Macaulay2, a software system for research in algebraic geometry},
  howpublished = 	{\url{http://www.math.uiuc.edu/Macaulay2/}},
  note = 		{[Online; accessed 2015-04-28]}
}

@phdthesis{KukelovaAlgMethods,
  author = 		{Kukelova,Zuzana},
  title = 		{Algebraic Methods in Computer Vision},
  school = 		{Department of Cybernetics, Faculty of Electrical Engineering, Czech Technical University in Prague},
  year = 		{2013},
  month = 		{February}
}

@inproceedings{SBBD,
  author = 		{Kukelova,Zuzana and Bujnak,Martin and Heller,Jan and Pajdla,Tomas},
  title =		{Singly-Bordered Block-Diagonal Form for Minimal Problem Solvers},
  booktitle = 		{Computer Vision - {ACCV} 2014 - 12th Asian Conference on Computer Vision, Singapore, Revised Selected Papers, Part {II}},
  pages = 		{488--502},
  year = 		{2014},
  month = 		{November 12--18},
  publisher = 		{Springer International Publishing},
  doi = 		{10.1007/978-3-319-16808-1_33},
}

@software{PaToH,
  author = 		{Catalyurek, Umit V. and Aykanat, Cevdet},
  title = 		{PaToH: Partitioning Tool for Hypergraphs},
  note = 		{Version 3.2},
  year = 		{2011}
}

@inproceedings{F5,
  Author = 		{Faug\`ere,Jean-Charles},
  Title = 		{A new efficient algorithm for computing Gr\"obner bases without reduction to zero ($F_5$)},
  Booktitle = 		{Papers from the International Symposium on Symbolic and Algebraic Computation},
  Series = 		{ISSAC '02},
  Year = 		{2002},
  isbn = 		{1-58113-484-3},
  location = 		{Lille, France},
  Pages = 		{75--83},
  Numpages = 		{9},
  doi = 		{10.1145/780506.780516},
  acmid = 		{780516},
  publisher = 		{ACM},
  address = 		{New York, NY, USA},
  url = 		{http://www-salsa.lip6.fr/~jcf/Papers/F02a.pdf},
}

@inproceedings{GBSyzygies,
  author = 		{M\"oller,Hans-Michael and Mora,Teo and Traverso,Carlo},
  title = 		{Gr\"obner Bases Computation Using Syzygies},
  Booktitle = 		{Papers from the International Symposium on Symbolic and Algebraic Computation},
  series = 		{ISSAC '92},
  year = 		{1992},
  isbn = 		{0-89791-489-9},
  location =		 {Berkeley, California, USA},
  pages = 		{320--328},
  numpages = 		{9},
  url = 		{http://doi.acm.org/10.1145/143242.143343},
  publisher = 		{ACM},
  address =		{New York, NY, USA},
} 

@mastersthesis{Segers,
  title = 		{Algebraic Attacks from a Gr\"obner Basis Perspective},
  author = 		{Segers,A. J. M. },
  school = 		{Department of Mathematics and Computing Science, Technische Universiteit Eindhoven},
  year = 		{2004}
}

@mastersthesis{Stegers,
  author = 		{Stegers,Till},
  title = 		{Faug\`ere's F5 Algorithm Revisited},
  year = 		{revisited version 2007},
  school = 		{Department Of Mathematics, Technische Universit \"at Darmstadt}
}

@article{ModifyingF5,
  author = 		{Eder,Christian and Gash,Justin and Perry,John},
  title = 		{Modifying Faug\`ere's F5 Algorithm to Ensure Termination},
  journal = 		{ACM Communications in Computer Algebra},
  issue_date = 		{March/June 2011},
  volume = 		{45},
  number = 		{2},
  month = 		{June},
  year = 		{2011},
  issn = 		{1932-2240},
  pages = 		{70--89},
  numpages = 		{20},
  publisher = 		{ACM},
  address = 		{New York, NY, USA},
}