\begin{thebibliography}{PCBC09}

\bibitem[AS65]{Abramowitz1965}
Milton Abramowitz and Irene~A. Stegun.
\newblock {\em {Handbook of Mathematical Functions}}, volume~44 of {\em Dover
  books on intermediate and advanced mathematics}.
\newblock Dover Publications, New York, unabridged and unaltered republication
  of the 1964 edition, 1965.

\bibitem[BKL17]{Buergel2017}
Florian B{\"u}rgel, Kamil~S. Kazimierski, and Armin Lechleiter.
\newblock A sparsity regularization and total variation based computational
  framework for the inverse medium problem in scattering.
\newblock {\em Journal of Computational Physics}, 339:1--30, 2017.
\newblock URL: \url{https://doi.org/10.1016/j.jcp.2017.03.011}.

\bibitem[Bor26]{Born1926}
Max Born.
\newblock {Quantenmechanik der Sto{\ss}vorg{\"a}nge}.
\newblock {\em Zeitschrift f{\"u}r Physik}, 38(11):803--827, 1926.
\newblock URL: \url{https://doi.org/10.1007/BF01397184}.

\bibitem[BS01]{Belkebir2001}
Kamal Belkebir and Marc Saillard.
\newblock Special section: {Testing} inversion algorithms against experimental
  data.
\newblock {\em Inverse Problems}, 17(6):1565--1571, 2001.
\newblock URL: \url{https://doi.org/10.1088/0266-5611/17/6/301}.

\bibitem[CK13]{Colton2013}
David Colton and Rainer Kress.
\newblock {\em {Inverse Acoustic and Electromagnetic Scattering Theory}}.
\newblock Springer, New York, 2013.
\newblock URL: \url{https://doi.org/10.1007/978-1-4614-4942-3}.

\bibitem[CP11]{Chambolle2011}
Antonin Chambolle and Thomas Pock.
\newblock {A First-Order Primal-Dual Algorithm for Convex Problems with
  Applications to Imaging}.
\newblock {\em Journal of Mathematical Imaging and Vision}, 40(1):120--145,
  2011.
\newblock URL: \url{https://doi.org/10.1007/s10851-010-0251-1}.

\bibitem[CS05]{Chan2005}
Tony~F. Chan and Jianhong~(Jackie) Shen.
\newblock {\em {Image Processing and Analysis}}.
\newblock Society for Industrial and Applied Mathematics, Philadelphia, 2005.
\newblock URL: \url{https://doi.org/10.1137/1.9780898717877}.

\bibitem[Geh13]{Gehre2013}
Matthias Gehre.
\newblock {\em {Rapid Uncertainty Quantification for Nonlinear Inverse
  Problems}}.
\newblock PhD thesis, Universit\"{a}t Bremen, 2013.
\newblock Retrieved from
  \url{https://nbn-resolving.de/urn:nbn:de:gbv:46-00103519-10}.

\bibitem[Gon10]{Gonzalez2010}
{\'A}lvaro Gonz{\'a}lez.
\newblock {Measurement of Areas on a Sphere Using Fibonacci and
  Latitude--Longitude Lattices}.
\newblock {\em Mathematical Geosciences}, 42(1):49, 2010.
\newblock URL: \url{https://doi.org/10.1007/s11004-009-9257-x}.

\bibitem[GSE05]{Geffrin2005}
Jean-Michel Geffrin, Pierre Sabouroux, and Christelle Eyraud.
\newblock Free space experimental scattering database continuation:
  experimental set-up and measurement precision.
\newblock {\em Inverse Problems}, 21(6):S117, 2005.
\newblock URL: \url{https://doi.org/10.1088/0266-5611/21/6/S09}.

\bibitem[KG08]{Kirsch2008}
Andreas Kirsch and Natalia Grinberg.
\newblock {\em {The Factorization Method for Inverse Problems}}, volume~36 of
  {\em Oxford Lecture Series in Mathematics and its Applications}.
\newblock Oxford University Press, 2008.
\newblock URL: \url{https://doi.org/10.1093/acprof:oso/9780199213535.001.0001}.

\bibitem[KS05]{Kaipio2005}
Jari Kaipio and Erkki Somersalo.
\newblock {\em {Statistical and Computational Inverse Problems}}, volume 160 of
  {\em Applied Mathematical Sciences}.
\newblock Springer, New York, 2005.
\newblock URL: \url{https://doi.org/10.1007/b138659}.

\bibitem[MS12]{Mueller2012}
Jennifer~L. Mueller and Samuli Siltanen.
\newblock {\em {Linear and Nonlinear Inverse Problems with Practical
  Applications}}.
\newblock Computational Science \& Engineering. SIAM, Philadelphia, 2012.
\newblock URL: \url{https://doi.org/10.1137/1.9781611972344}.

\bibitem[PCBC09]{Pock2009}
Thomas Pock, Daniel Cremers, Horst Bischof, and Antonin Chambolle.
\newblock An algorithm for minimizing the {Mumford-Shah} functional.
\newblock In {\em 2009 IEEE 12th International Conference on Computer Vision},
  pages 1133--1140, 2009.
\newblock URL: \url{https://doi.org/10.1109/ICCV.2009.5459348}.

\bibitem[Rie01]{Rieder2001}
Andreas Rieder.
\newblock On convergence rates of inexact newton regularizations.
\newblock {\em Numerische Mathematik}, 88(2):347--365, 2001.
\newblock URL: \url{https://doi.org/10.1007/PL00005448}.

\bibitem[Vai00]{Vainikko2000}
Gennadi Vainikko.
\newblock {Fast Solvers of the {Lippmann-Schwinger} Equation}.
\newblock In Robert~P. Gilbert, Joji Kajiwara, and Yongzhi~S. Xu, editors, {\em
  Direct and Inverse Problems of Mathematical Physics}, pages 423--440.
  Springer, Boston, 2000.
\newblock URL: \url{https://doi.org/10.1007/978-1-4757-3214-6_25}.

\end{thebibliography}
