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references.bib
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@book{Feeman,
title = {The Mathematics of Medical Imaging},
author = {Timothy G. Feeman},
publisher = {Springer},
isbn = {},
year = {2016},
series = {UNITEXT 92},
edition = {1},
volume = {}}
@book{Hansen,
author = {Hansen, Per Christian},
title = {Discrete Inverse Problems: Insight and Algorithms},
year = {2010},
isbn = {0898716969, 9780898716962},
publisher = {Society for Industrial and Applied Mathematics},
address = {Philadelphia, PA, USA},
}
@book{KaipioSomersalo,
author = "Kaipio, Jari and Somersalo, Erkki",
title = "{Statistical and Computational Inverse Problems}",
publisher = "Springer",
address = "Dordrecht",
year = "2005"
}
@ARTICLE{4307775,
author={J. {Radon}},
journal={IEEE Transactions on Medical Imaging},
title={On the determination of functions from their integral values along certain manifolds},
year={1986},
volume={5},
number={4},
pages={170-176}}
@article{lewisfast,
title={Fast Template Matching},
author={Lewis, J.P.},
journal={Vision Interface},
year={1995},
pages={190-193}
}
@article{scikitimage,
title = {scikit-image: image processing in Python},
author = {van der Walt, Stéfan and Schönberger, Johannes L. and Nunez-Iglesias, Juan and Boulogne, François and Warner, Joshua D. and Yager, Neil and Gouillart, Emmanuelle and Yu, Tony and },
year = 2014,
month = jun,
keywords = {Image processing, Reproducible research, Education, Visualization, Open source, Python, Scientific programming},
abstract = {
scikit-image is an image processing library that implements algorithms and utilities for use in research, education and industry applications. It is released under the liberal Modified BSD open source license, provides a well-documented API in the Python programming language, and is developed by an active, international team of collaborators. In this paper we highlight the advantages of open source to achieve the goals of the scikit-image library, and we showcase several real-world image processing applications that use scikit-image. More information can be found on the project homepage, http://scikit-image.org.
},
volume = 2,
pages = {e453},
journal = {PeerJ},
issn = {2167-8359},
url = {https://doi.org/10.7717/peerj.453},
doi = {10.7717/peerj.453}
}
@article{van2011numpy,
title={The NumPy array: a structure for efficient numerical computation},
author={Van Der Walt, Stefan and Colbert, S Chris and Varoquaux, Gael},
journal={Computing in Science \& Engineering},
volume={13},
number={2},
pages={22--30},
year={2011},
publisher={AIP Publishing},
doi={10.1109/MCSE.2011.37}
}
@ARTICLE{2020SciPy-NMeth,
author = {{Virtanen}, Pauli and {Gommers}, Ralf and {Oliphant},
Travis E. and {Haberland}, Matt and {Reddy}, Tyler and
{Cournapeau}, David and {Burovski}, Evgeni and {Peterson}, Pearu
and {Weckesser}, Warren and {Bright}, Jonathan and {van der Walt},
St{\'e}fan J. and {Brett}, Matthew and {Wilson}, Joshua and
{Jarrod Millman}, K. and {Mayorov}, Nikolay and {Nelson}, Andrew
R.~J. and {Jones}, Eric and {Kern}, Robert and {Larson}, Eric and
{Carey}, CJ and {Polat}, {\.I}lhan and {Feng}, Yu and {Moore},
Eric W. and {Vand erPlas}, Jake and {Laxalde}, Denis and
{Perktold}, Josef and {Cimrman}, Robert and {Henriksen}, Ian and
{Quintero}, E.~A. and {Harris}, Charles R and {Archibald}, Anne M.
and {Ribeiro}, Ant{\^o}nio H. and {Pedregosa}, Fabian and
{van Mulbregt}, Paul and {Contributors}, SciPy 1. 0},
title = "{SciPy 1.0: Fundamental Algorithms for Scientific
Computing in Python}",
journal = {Nature Methods},
year = "2020",
volume={17},
pages={261--272},
adsurl = {https://rdcu.be/b08Wh},
doi = {https://doi.org/10.1038/s41592-019-0686-2},
}
@ARTICLE{shepplogan,
author={L. A. {Shepp} and B. F. {Logan}},
journal={IEEE Transactions on Nuclear Science},
title={{The Fourier reconstruction of a head section}},
year={1974},
volume={21}, number={3},
pages={21-43}
}
@article{Cormack,
title = {Representation OF A FUNCTION BY ITS LINE INTEGRALS, WITH SOME RADIOLOGICAL APPLICATIONS},
author = {Cormack, A. M.},
abstractNote = {ABS>A method is given of finding a real function in a finite region of a plane given its line integrals along all straight lines intersecting the region. The solution found is applicable to three problems of interest for precise radiology and radiotherapy: the determination of a variable x-ray absorption coefficient in two dimensions; the determination of the distribution of positron annihilations when there is an inhomogeneous distribution of the positron emitter in mattet; and the determination of a variable density of matter with constant chemical composition, using the energy loss of charged particles in the matter. (auth)},
doi = {10.1063/1.1729798},
journal = {Journal of Applied Physics (U.S.)},
volume = {34},
place = {Country unknown/Code not available},
year = {1963},
month = {9}
}
@book{Jerri_Gibbs,
title = {The Gibbs Phenomenon in Fourier Analysis, Splines and Wavelet Approximations},
author = {Abdul J. Jerri},
publisher = {Springer US},
isbn = {978-1-4419-4800-7,978-1-4757-2847-7},
year = {1998},
series = {Mathematics and Its Applications 446},
edition = {1},
volume = {}}
@misc{exact_sinogram,
author = {Dessole, M., and Gatto, M. and Poggiali, D., and Tedeschi, F. },
title = {{Exact Sinogram}},
howpublished = "\url{https://github.com/francescat93/Exact_sinogram}",
year = {2020}
}