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@book{mandelbrotFractalGeometryNature1982,
title = {The {{Fractal Geometry}} of {{Nature}}},
author = {Mandelbrot, Benoit B.},
year = {1982},
publisher = {{W. H. Freeman and Company}},
isbn = {978-0-7167-1186-5}
}
@article{pengMosaicOrganizationDNA1994,
title = {Mosaic Organization of DNA Nucleotides},
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}
@article{kantelhardtMultifractalDetrendedFluctuation2002,
title = {Multifractal Detrended Fluctuation Analysis of Nonstationary Time Series},
author = {Kantelhardt, Jan W. and Zschiegner, Stephan A. and {Koscielny-Bunde}, Eva and Havlin, Shlomo and Bunde, Armin and Stanley, H. Eugene},
year = {2002},
journal = {Physica A: Statistical Mechanics and its Applications},
volume = {316},
number = {1-4},
pages = {87--114}
}
@software{fraclab,
title = {FracLab: A Fractal Analysis Toolbox for MATLAB},
author = {INRIA},
year = {2020},
url = {https://fraclab.saclay.inria.fr/}
}
@software{nolds,
title = {Nolds: Nonlinear Measures for Dynamical Systems},
author = {Scholz, Christopher},
year = {2019},
url = {https://github.com/CSchoel/nolds}
}
@article{fathon,
title = {Fathon: A Fast and Pythonic Implementation of DFA and MF-DFA},
author = {Russo, Francesco and S. Carlo, G.},
year = {2019},
journal = {Journal of Open Source Software},
volume = {4},
number = {44},
pages = {1840},
doi = {10.21105/joss.01840}
}
@software{fractal,
title = {Fractal: Fast Box-Counting for Images},
author = {Mees, A. and Tatar, J.},
year = {2018},
url = {https://github.com/Mees/calcf}
}
@article{yuFractalPermeabilityModel:2002,
title = {A Fractal Permeability Model for Bi-Dispersed Porous Media},
author = {Yu, Boming and Cheng, Ping},
year = {2002},
journal = {International Journal of Heat and Mass Transfer},
volume = {45},
number = {14},
pages = {2983--2993},
doi = {10.1016/S0017-9310(02)00014-5}
}
@article{lopesFractalMultifractalAnalysis2009,
title = {Fractal and Multifractal Analysis: A Review},
author = {Lopes, R. and Betrouni, N.},
year = {2009},
journal = {Medical Image Analysis},
volume = {13},
number = {4},
pages = {634--649},
doi = {10.1016/j.media.2009.05.003}
}
@article{foroutan-pourAdvancesImplementationBoxcounting1999,
title = {Advances in the Implementation of the Box Counting Method of Fractal Dimension Estimation},
author = {Foroutan-pour, K. and Dutilleul, P. and Smith, D. L.},
year = {1999},
journal = {Applied Mathematics and Computation},
volume = {105},
number = {2-3},
pages = {195--210}
}
@article{liebovitchFastAlgorithmDetermine1989,
title = {Fast Algorithm to Determine Fractal Dimensions by Box Counting},
author = {Liebovitch, L. S. and Toth, T.},
year = {1989},
journal = {Physics Letters A},
volume = {141},
number = {8-9},
pages = {386--390}
}
@article{hurstLongTermStorageCapacity1951,
title = {Long-Term Storage Capacity of Reservoirs},
author = {Hurst, H. E.},
year = {1951},
journal = {Transactions of the American Society of Civil Engineers},
volume = {116},
pages = {770--808}
}
@article{grassbergerMeasuringStrangenessAttractors1983,
title = {Measuring the Strangeness of Strange Attractors},
author = {Grassberger, P. and Procaccia, I.},
year = {1983},
journal = {Physica D: Nonlinear Phenomena},
volume = {9},
number = {1-2},
pages = {189--208}
}
@inproceedings{harrisArrayProgrammingNumPy2020,
title = {Array programming with {{NumPy}}},
author = {Harris, Charles R. and Millman, K. Jarrod and van der Walt, Stéfan J. and others},
year = {2020},
booktitle = {Nature},
volume = {585},
pages = {357--362},
doi = {10.1038/s41586-020-2649-2}
}
@inproceedings{virtanenSciPy1.0Fundamental2020,
title = {{{SciPy}} 1.0: fundamental algorithms for scientific computing in {{Python}}},
author = {Virtanen, Pauli and Gommers, Ralf and Oliphant, Travis E. and others},
year = {2020},
booktitle = {Nature Methods},
volume = {17},
pages = {261--272},
doi = {10.1038/s41592-019-0686-2}
}
@article{hunterMatplotlib2D2007,
title = {Matplotlib: A 2D graphics environment},
author = {Hunter, John D.},
year = {2007},
journal = {Computing in Science \& Engineering},
volume = {9},
number = {3},
pages = {90--95},
doi = {10.1109/MCSE.2007.55}
}
@article{mckinneyPandasDataAnalysis2010,
title = {Data Structures for Statistical Computing in Python},
author = {McKinney, Wes},
year = {2010},
journal = {Proceedings of the 9th Python in Science Conference},
pages = {56--61}
}
@software{opencv_library,
title = {OpenCV: Open Source Computer Vision Library},
author = {Bradski, G.},
year = {2000},
url = {https://opencv.org}
}
@software{pillow,
title = {Pillow: Python Imaging Library (Fork)},
author = {Clark, A.},
year = {2015},
url = {https://pillow.readthedocs.io}
}