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paper.bib
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%% H/T to: http://www.doi2bib.org
@article{Farouki1987,
doi = {10.1016/0167-8396(87)90012-4},
url = {https://dx.doi.org/10.1016/0167-8396(87)90012-4},
year = {1987},
month = {Nov},
publisher = {Elsevier {BV}},
volume = {4},
number = {3},
pages = {191--216},
author = {R.T. Farouki and V.T. Rajan},
title = {On the numerical condition of polynomials in {B}ernstein form},
journal = {Computer Aided Geometric Design}
}
@article{Sederberg1989,
doi = {10.1016/0010-4485(89)90015-8},
url = {https://dx.doi.org/10.1016/0010-4485(89)90015-8},
year = {1989},
month = {Nov},
publisher = {Elsevier {BV}},
volume = {21},
number = {9},
pages = {547--554},
author = {T.W. Sederberg},
title = {Algorithm for algebraic curve intersection},
journal = {Computer-Aided Design}
}
@article{Sederberg1990,
doi = {10.1016/0010-4485(90)90039-f},
url = {https://dx.doi.org/10.1016/0010-4485(90)90039-F},
year = {1990},
month = {Nov},
publisher = {Elsevier {BV}},
volume = {22},
number = {9},
pages = {538--549},
author = {T.W. Sederberg and T. Nishita},
title = {Curve intersection using {B}{\'{e}}zier clipping},
journal = {Computer-Aided Design}
}
@article{Farouki1991,
doi = {10.1016/0167-8396(91)90047-f},
url = {https://dx.doi.org/10.1016/0167-8396(91)90047-F},
year = {1991},
month = {Feb},
publisher = {Elsevier {BV}},
volume = {8},
number = {1},
pages = {29--36},
author = {R.T. Farouki},
title = {On the stability of transformations between power and {B}ernstein polynomial forms},
journal = {Computer Aided Geometric Design}
}
@article{Farouki1990,
doi = {10.2307/2008438},
url = {https://doi.org/10.2307/2008438},
year = {1990},
month = {oct},
publisher = {{JSTOR}},
volume = {55},
number = {192},
pages = {637},
author = {R. T. Farouki and C. A. Neff},
title = {On the Numerical Condition of {B}ernstein-{B}{\'{e}}zier Subdivision Processes},
journal = {Mathematics of Computation}
}
@article{Farouki1996,
doi = {10.1090/s0025-5718-96-00759-4},
url = {https://doi.org/10.1090/s0025-5718-96-00759-4},
year = {1996},
month = {oct},
publisher = {American Mathematical Society ({AMS})},
volume = {65},
number = {216},
pages = {1553--1567},
author = {R. T. Farouki and T. N. T. Goodman},
title = {On the optimal stability of the {B}ernstein basis},
journal = {Mathematics of Computation}
}
@article{Kim1998,
doi = {10.1016/s0010-4485(98)00052-9},
url = {https://dx.doi.org/10.1016/S0010-4485(98)00052-9},
year = {1998},
month = {Nov},
publisher = {Elsevier {BV}},
volume = {30},
number = {13},
pages = {1047--1051},
author = {Deok-Soo Kim and Soon-Woong Lee and Hayong Shin},
title = {A cocktail algorithm for planar {B}{\'{e}}zier curve intersections},
journal = {Computer-Aided Design}
}
@article{Sederberg1986,
doi = {10.1016/s0010-4485(86)80013-6},
url = {https://dx.doi.org/10.1016/S0010-4485(86)80013-6},
year = {1986},
month = {Jan},
publisher = {Elsevier {BV}},
volume = {18},
number = {1},
pages = {58--63},
author = {Thomas W Sederberg and Scott R Parry},
title = {Comparison of three curve intersection algorithms},
journal = {Computer-Aided Design}
}
@article{Farouki2012,
doi = {10.1016/j.cagd.2012.03.001},
url = {https://dx.doi.org/10.1016/j.cagd.2012.03.001},
year = {2012},
month = {Aug},
publisher = {Elsevier {BV}},
volume = {29},
number = {6},
pages = {379--419},
author = {Rida T. Farouki},
title = {The {B}ernstein polynomial basis: A centennial retrospective},
journal = {Computer Aided Geometric Design}
}
@article{JonssonVavasis,
ISSN = {00255718, 10886842},
url = {https://www.jstor.org/stable/4100244},
author = {Gu{\dj}bj{\"{o}}rn F. J{\'{o}}nsson and Stephen A. Vavasis},
journal = {Mathematics of Computation},
number = {249},
pages = {221-262},
publisher = {American Mathematical Society},
title = {Accurate {S}olution of {P}olynomial {E}quations {U}sing {M}acaulay {R}esultant {M}atrices},
volume = {74},
year = {2005}
}
@techreport{Manocha:CSD-92-698,
Author = {Manocha, Dinesh and Demmel, James W.},
Title = {Algorithms for Intersecting Parametric and Algebraic Curves},
Institution = {EECS Department, University of California, Berkeley},
Year = {1992},
Month = {Aug},
URL = {https://www2.eecs.berkeley.edu/Pubs/TechRpts/1992/6266.html},
Number = {UCB/CSD-92-698},
}
%% H/T to: https://manas.tungare.name/software/isbn-to-bibtex/
@book{Farin2001,
Author = {Gerald Farin},
Title = {Curves and Surfaces for CAGD, Fifth Edition: A Practical Guide (The Morgan Kaufmann Series in Computer Graphics)},
Publisher = {Morgan Kaufmann},
Year = {2001},
ISBN = {1558607374},
URL = {https://www.amazon.com/Curves-Surfaces-CAGD-Fifth-Practical/dp/1558607374}
}
%% H/T to: https://tex.stackexchange.com/a/183473/32270
@misc{SederbergNotes,
url = {http://tom.cs.byu.edu/~557/text/cagd.pdf},
author = {Thomas W Sederberg},
publisher = {Department of Computer Science, Brigham Young University},
title = {Lecture notes: Computer Aided Geometric Design},
year = {2016},
month = {Sep}
}