literature.bib

#------------------------------------------------------------------------------#
# FFT
#------------------------------------------------------------------------------#

@article{ct1965,
  title={An algorithm for the machine calculation of complex Fourier series},
  author={Cooley, James W and Tukey, John W},
  journal={Mathematics of computation},
  volume={19},
  number={90},
  pages={297--301},
  year={1965},
  publisher={JSTOR}
}

#------------------------------------------------------------------------------#
# Convex Hull
#------------------------------------------------------------------------------#

@article{jm1973,
  title={On the identification of the convex hull of a finite set of points in the plane},
  author={Jarvis, Ray A},
  journal={Information processing letters},
  volume={2},
  number={1},
  pages={18--21},
  year={1973},
  publisher={Elsevier}
}

@article{gs1972,
  title={An efficient algorithm for determining the convex hull of a finite planar set},
  author={Graham, Ronald L},
  journal={Information processing letters},
  volume={1},
  number={4},
  pages={132--133},
  year={1972},
  publisher={Elsevier}
}

#------------------------------------------------------------------------------#
# Plotting
#------------------------------------------------------------------------------#

@misc{gnuplot,
  title={Gnuplot 5.0: An Interactive Plotting Program, Official Gnuplot Documentation},
  author={Williams, T and Kelley, C},
  year={2015}
}

#------------------------------------------------------------------------------#
# Computus
#------------------------------------------------------------------------------#

@book{bede725,
  title={Bede, the Reckoning of Time},
  author={Venerabilis, Beda and others},
  volume={29},
  year={1999},
  publisher={Liverpool University Press}
}

@misc{dictcomputus,
  title={Dictionary.com definition of computus},
  url={https://www.merriam-webster.com/dictionary/computus},
  year={2020}
}

@article{computus1876,
  title={To find Easter: a new York correspondent sends us the following},
  author={unknown},
  journal={Nature},
  year={1876}
}

@article{bien2004,
  title={Gauss and beyond: The making of Easter algorithms},
  author={Bien, Reinhold},
  journal={Archive for history of exact sciences},
  volume={58},
  number={5},
  pages={439--452},
  year={2004},
  publisher={Springer}
}

@inproceedings{servois,
  title={84 Calendrier},
  author={Servois, M},
  booktitle={Annales de Mathématiques pures et appliquées},
  volume={4},
  number={1813-1814},
  pages={84--90}
}

@article{standish2004,
  title={The astronomical unit now},
  author={Standish, EM},
  journal={Proceedings of the International Astronomical Union},
  volume={2004},
  number={IAUC196},
  pages={163--179},
  year={2004},
  publisher={Cambridge University Press}
}

@misc{lunar_month_wiki,
  title={Wikipedia: Lunar Month},
  url={https://en.wikipedia.org/wiki/Lunar_month},
  year={2020}
}

#------------------------------------------------------------------------------#
# IFS
#------------------------------------------------------------------------------#
@misc{self-similar,
  title={Wikipedia: Self-similarity},
  url={https://en.wikipedia.org/wiki/Self-similarity},
  year={2019}
}

@misc{hausdorff,
  title={Wikipedia: Hausdorff dimension},
  url={https://en.wikipedia.org/wiki/Hausdorff_dimension},
  year={2019}
}

@misc{3b1bfractal,
  author={Sanderson, G},
  title={3blue1brown: Fractals are typically not self-similar},
  url={https://www.youtube.com/watch?v=gB9n2gHsHN4},
  year={2017}
}

@book{mandelbrot1983fractal,
  title={The fractal geometry of nature},
  author={Mandelbrot, Benoit B},
  volume={173},
  year={1983},
  publisher={WH freeman New York}
}

@article{mandelbrot1967long,
  title={How long is the coast of Britain? Statistical self-similarity and fractional dimension},
  author={Mandelbrot, Benoit},
  journal={science},
  volume={156},
  number={3775},
  pages={636--638},
  year={1967},
  publisher={American Association for the Advancement of Science}
}

@article{jampour2010new,
  title={A new fast technique for fingerprint identification with fractal and chaos game theory},
  author={Jampour, Mahdi and Yaghoobi, Mahdi and Ashourzadeh, Maryam and Soleimani, Adel},
  journal={Fractals},
  volume={18},
  number={03},
  pages={293--300},
  year={2010},
  publisher={World Scientific}
}

@misc{fractal-compression,
  title={Wikipedia: Fractal Compression},
  url={https://en.wikipedia.org/wiki/Fractal_compression},
  year={2019}
}

@article{saupe1994review,
  title={A review of the fractal image compression literature},
  author={Saupe, Dietmar and Hamzaoui, Raouf},
  journal={ACM SIGGRAPH Computer Graphics},
  volume={28},
  number={4},
  pages={268--276},
  year={1994},
  publisher={ACM}
}

@article{gneiting2012estimators,
  title={Estimators of fractal dimension: Assessing the roughness of time series and spatial data},
  author={Gneiting, Tilmann and Ševčíková, Hana and Percival, Donald B},
  journal={Statistical Science},
  pages={247--277},
  year={2012},
  publisher={JSTOR}
}

@article{hutchinson1981fractals,
  title={Fractals and self similarity},
  author={Hutchinson, John E},
  journal={Indiana University Mathematics Journal},
  volume={30},
  number={5},
  pages={713--747},
  year={1981},
  publisher={JSTOR}
}

@misc{hutchinson-operator,
  title={Wikipedia: Hutchinson Operator},
  url={https://en.wikipedia.org/wiki/Hutchinson_operator},
  year={2019}
}

@misc{chaos-game,
  title={Wikipedia: Chaos Game},
  url={https://en.wikipedia.org/wiki/Chaos_game},
  year={2019}
}

@misc{chaos-game-wolf,
  title={Wolfram: Chaos Game},
  url={http://mathworld.wolfram.com/ChaosGame.html},
  year={2019}
}

@book{barnsley2014fractals,
  title={Fractals everywhere},
  author={Barnsley, Michael F},
  year={2014},
  publisher={Academic press}
}

#------------------------------------------------------------------------------#
# Domain Coloring
#------------------------------------------------------------------------------#

@misc{hsv,
  title={Wikipedia: HSL and HSV},
  url={https://en.wikipedia.org/wiki/HSL_and_HSV},
  year={2020}
}

@article{schloss2019,
  title={Massively parallel split-step Fourier techniques for simulating quantum systems on graphics processing units},
  author={Schloss, James},
  year={2019}
}

@book{pethick2008,
  title={Bose--Einstein condensation in dilute gases},
  author={Pethick, Christopher J and Smith, Henrik},
  year={2008},
  publisher={Cambridge university press}
}

@book{wegert2012,
  title={Visual complex functions: an introduction with phase portraits},
  author={Wegert, Elias},
  year={2012},
  publisher={Springer Science \& Business Media}
}

@article{poelkedomain,
  title={Domain Coloring of Complex Functions},
  author={Poelke, Konstantin and Polthier, Konrad}
}

@article{lundmark2004,
  title={Visualizing complex analytic functions using domain coloring},
  author={Lundmark, Hans},
  journal={Recuperado el},
  volume={24},
  year={2004}
}

#------------------------------------------------------------------------------#
# Flood Fill
#------------------------------------------------------------------------------#

@misc{gimp_bucket,
  title={Bucket Fill in Gimp},
  url={https://docs.gimp.org/2.10/en/gimp-tool-bucket-fill.html},
  year={2020}
}

@book{torbert2016,
  title={Applied computer science},
  author={Torbert, Shane},
  year={2016},
  pages={158},
  publisher={Springer}
}

#------------------------------------------------------------------------------#
# Convolutions
#------------------------------------------------------------------------------#

@article{canny1986computational,
  title={A computational approach to edge detection},
  author={Canny, John},
  journal={IEEE Transactions on pattern analysis and machine intelligence},
  number={6},
  pages={679--698},
  year={1986},
  publisher={Ieee}
}

#------------------------------------------------------------------------------#
# Counting                                                                     #
#------------------------------------------------------------------------------#

@article{morris1978counting,
  title={Counting large numbers of events in small registers},
  author={Morris, R},
  journal={Communications of the ACM},
  volume={21},
  number={10},
  pages={840--842},
  year={1978},
  publisher={ACM New York, NY, USA}
}

@article{flajolet1985approximate,
  title={Approximate counting: a detailed analysis},
  author={Flajolet, P},
  journal={BIT Numerical Mathematics},
  volume={25},
  number={1},
  pages={113--134},
  year={1985},
  publisher={Springer}
}

@misc{arpit_counting,
  title={Morris's Algorithm for Approximate Counting},
  author={Bhayani, A},
  url={https://arpitbhayani.me/blogs/morris-counter},
  year={2020}
}

@misc{greggunderson_counting,
  title={Approximate Counting with Morris's Algorithm},
  author={Gundersen, G},
  url={http://gregorygundersen.com/blog/2019/11/11/morris-algorithm/},
  year={2019}
}

@misc{3b1b_finger_count,
  title={How to count to 1000 on two hands},
  author={Sanderson, G},
  url={https://youtu.be/1SMmc9gQmHQ},
  year={2015}
}