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@Book{Abramowitz1965,
  Title                    = {{Handbook of Mathematical Functions}},
  Author                   = {Abramowitz, Milton AND Stegun, Irene A.},
  Publisher                = {Dover Publications},
  Year                     = {1965},

  Address                  = {New York},
  Edition                  = {unabridged and unaltered republication of the 1964},
  Series                   = {Dover books on intermediate and advanced mathematics},
  Volume                   = {44},
}

@Article{Buergel2017,
  Title                    = {A sparsity regularization and total variation based computational framework for the inverse medium problem in scattering},
  Author                   = {B{\"u}rgel, Florian AND Kazimierski, Kamil S. AND Lechleiter, Armin},
  Journal                  = {Journal of Computational Physics},
  Year                     = {2017},
  Pages                    = {1--30},
  Volume                   = {339},

  ISSN                     = {0021-9991},
  Keywords                 = {Inverse scattering problem},
  Url                      = {https://doi.org/10.1016/j.jcp.2017.03.011},
}

@Article{Belkebir2001,
  Title                    = {Special section: {Testing} inversion algorithms against experimental data},
  Author                   = {Belkebir, Kamal AND Saillard, Marc},
  Journal                  = {Inverse Problems},
  Year                     = {2001},
  Number                   = {6},
  Pages                    = {1565--1571},
  Volume                   = {17},
  Url                      = {https://doi.org/10.1088/0266-5611/17/6/301},
}

@Article{Born1926,
  Title                    = {{Quantenmechanik der Sto{\ss}vorg{\"a}nge}},
  Author                   = {Born, Max},
  Journal                  = {Zeitschrift f{\"u}r Physik},
  Year                     = {1926},
  Number                   = {11},
  Pages                    = {803--827},
  Volume                   = {38},
  ISSN                     = {0044-3328},
  Url                      = {https://doi.org/10.1007/BF01397184},
}

@Article{Chambolle2011,
  Title                    = {{A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging}},
  Author                   = {Chambolle, Antonin AND Pock, Thomas},
  Journal                  = {Journal of Mathematical Imaging and Vision},
  Year                     = {2011},
  Number                   = {1},
  Pages                    = {120--145},
  Volume                   = {40},
  ISSN                     = {0924-9907},
  Keywords                 = {Convex optimization; Dual approaches; Total variation; Inverse problems; Image; Reconstruction},
  Publisher                = {Springer US},
  Url                      = {https://doi.org/10.1007/s10851-010-0251-1},
}

@Book{Chan2005,
  Title                    = {{Image Processing and Analysis}},
  Author                   = {Chan, Tony F. AND Shen, Jianhong (Jackie)},
  Publisher                = {Society for Industrial and Applied Mathematics},
  Year                     = {2005},
  Address                  = {Philadelphia},
  Url                      = {https://doi.org/10.1137/1.9780898717877},
}

@Book{Colton2013,
  Title                    = {{Inverse Acoustic and Electromagnetic Scattering Theory}},
  Author                   = {Colton, David AND Kress, Rainer},
  Publisher                = {Springer, New York},
  Year                     = {2013},
  Url                      = {https://doi.org/10.1007/978-1-4614-4942-3},
}

@Article{Geffrin2005,
  Title                    = {Free space experimental scattering database continuation: experimental set-up and measurement precision},
  Author                   = {Geffrin, Jean-Michel AND Sabouroux, Pierre AND Eyraud, Christelle},
  Journal                  = {Inverse Problems},
  Year                     = {2005},
  Number                   = {6},
  Pages                    = {S117},
  Volume                   = {21},
  Url                      = {https://doi.org/10.1088/0266-5611/21/6/S09},
}

@PhdThesis{Gehre2013,
  Title                    = {{Rapid Uncertainty Quantification for Nonlinear Inverse Problems}},
  Author                   = {Gehre, Matthias},
  School                   = {Universit\"{a}t Bremen},
  Year                     = {2013},
  Note                     = {Retrieved from \url{https://nbn-resolving.de/urn:nbn:de:gbv:46-00103519-10}},
}

@Article{Gonzalez2010,
  Title                    = {{Measurement of Areas on a Sphere Using Fibonacci and Latitude--Longitude Lattices}},
  Author                   = {Gonz{\'a}lez, {\'A}lvaro},
  Journal                  = {Mathematical Geosciences},
  Year                     = {2010},
  Number                   = {1},
  Pages                    = {49},
  Volume                   = {42},
  ISSN                     = {1874-8953},
  Url                      = {https://doi.org/10.1007/s11004-009-9257-x},
}

@Book{Kaipio2005,
  Title                    = {{Statistical and Computational Inverse Problems}},
  Author                   = {Kaipio, Jari AND Somersalo, Erkki},
  Publisher                = {Springer},
  Year                     = {2005},
  Address                  = {New York},
  Series                   = {Applied Mathematical Sciences},
  Volume                   = {160},
  Url                      = {https://doi.org/10.1007/b138659},
}

@Book{Kirsch2008,
  Title                    = {{The Factorization Method for Inverse Problems}},
  Author                   = {Kirsch, Andreas AND Grinberg, Natalia},
  Publisher                = {Oxford University Press},
  Year                     = {2008},
  Series                   = {Oxford Lecture Series in Mathematics and its Applications},
  Volume                   = {36},
  Url                      = {https://doi.org/10.1093/acprof:oso/9780199213535.001.0001},
}

@Book{Mueller2012,
  Title                    = {{Linear and Nonlinear Inverse Problems with Practical Applications}},
  Author                   = {Mueller, Jennifer L. AND Siltanen, Samuli},
  Publisher                = {SIAM},
  Year                     = {2012},
  Address                  = {Philadelphia},
  Series                   = {Computational Science \& Engineering},
  ISBN                     = {978-1-61197-233-7},
  Keywords                 = {Inverse Problem, Reconstruction, Regularization, Tomography, Computation},
  Url                      = {https://doi.org/10.1137/1.9781611972344},
}

@InProceedings{Pock2009,
  Title                    = {An algorithm for minimizing the {Mumford-Shah} functional},
  Author                   = {Pock, Thomas AND Cremers, Daniel AND Bischof, Horst AND Chambolle, Antonin},
  Booktitle                = {2009 IEEE 12th International Conference on Computer Vision},
  year                     = {2009},
  volume                   = {},
  number                   = {},
  pages                    = {1133--1140},
  ISSN                     = {2380-7504},
  Url                      = {https://doi.org/10.1109/ICCV.2009.5459348},
}

@Article{Rieder2001,
  Title                    = {On convergence rates of inexact Newton regularizations},
  Author                   = {Rieder, Andreas},
  Journal                  = {Numerische Mathematik},
  Year                     = {2001},
  Number                   = {2},
  Pages                    = {347--365},
  Volume                   = {88},
  ISSN                     = {0945-3245},
  Url                      = {https://doi.org/10.1007/PL00005448},
}

@InCollection{Vainikko2000,
  Title                    = {{Fast Solvers of the {Lippmann-Schwinger} Equation}},
  Author                   = {Vainikko, Gennadi},
  Booktitle                = {Direct and Inverse Problems of Mathematical Physics},
  Publisher                = {Springer},
  Year                     = {2000},
  Address                  = {Boston},
  Editor                   = {Gilbert, Robert P. AND Kajiwara, Joji AND Xu, Yongzhi S.},
  Pages                    = {423--440},
  ISBN                     = {978-1-4757-3214-6},
  Language                 = {English},
  Url                      = {https://doi.org/10.1007/978-1-4757-3214-6_25},
}

