Prof CarolaBibiane Schönlieb
Professor Schönlieb is Professor of Applied Mathematics at DAMTP and head of the Cambridge Image Analysis group (CIA). Moreover, she is the Director of the Cantab Capital Institute for the Mathematics of Information and Director of the EPSRC Centre for Mathematical and Statistical Analysis of Multimodal Clinical Imaging, a Fellow of Jesus College, Cambridge and coleader of the IMAGES network.
Career
Positions:
 since October 2018: Professor at DAMTP, University of Cambridge, UK.
 October 2015 to September 2018: Reader at DAMTP, University of Cambridge, UK.
 since October 2011: Fellow of Jesus College, Cambridge, UK.
 September 2010 to September 2015: Lecturer at DAMTP, University of Cambridge, UK.
 September 2009 to September 2010: Postdoc at NAM (Institute of Numerical and Applied Mathematics), GeorgAugust University Goettingen, Germany.
 October 2008 to September 2009: Research Assistant at DAMTP, University of Cambridge.
 October 2005 to October 2008: Research Assistant at the Faculty of Mathematics, University of Vienna, Austria.
 September 2002 to June 2004: Research Assistant at the Department of Mathematics, University of Salzburg, Austria.
Education:
 July 18, 2009: Admission to the degree Doctor of Philosophy, University of Cambridge (UK)
 January 30, 2004: Master’s degree in Mathematics with Honors, University of Salzburg (Austria)
Honors and Awards:
 2017: Philip Leverhulme Prize.
 2016: Whitehead Prize, London Mathematical Society.
 2013: EPSRC Science Photo Award, 1st Prize in the Category People.
 2008: Mary Bradburn Award from the BFWG.
 2004: Scholarship from the University of Salzburg (Austria) for exceptional achievements as a student
 2002: HansStegbuchnerAward from the Department of Mathematics, University of Salzburg (Austria).
Research
Dr Schönlieb's research interests range from nonlinear partial differential equations to computational and convex analysis, with applications in digital image and signal processing. She studies fourthorder equations and nonsmooth optimization problems, like the total variation functional, for image reconstruction, especially for what is called image inpainting. Moreover, she works on computational methods for largescale problems appearing in 3 and 4D imaging. Within this context she is interested in both the theoretical and numerical analysis of the problems considered as well as their practical implementation and their use for realworld applications like arts restoration and medical imaging. More details on CIA research see CIA research.
Selected Publications

M. Benning, L. Gladden, D. Holland, C.B. Schönlieb, and T. Valkonen, Phase reconstruction from velocityencoded MRI measurements  a survey of sparsitypromoting variational approaches , Journal of Magnetic Resonance 238 (2014), pp. 2643.

L. Calatroni, B. Düring, and C.B. Schönlieb, ADI splitting schemes for a fourthorder nonlinear partial differential equation from image processing, DCDS Series A, Special Issue for Arieh Iserles 65th birthday, 34(3), March 2014, pp. 931  957.

J. C. De Los Reyes, and C.B. Schönlieb, Image denoising: Learning noise distribution via PDEconstrained optimisation, Inverse Problems and Imaging 7(4), pp. 11831214, November 2013. pdf DAMTPTechnical Report, NA2012/04

K. Papafitsoros, and C.B. Schönlieb, A combined first and second order variational approach for image reconstruction, Journal of Mathematical Imaging and Vision, 48(2), pp. 308338, 2014.

K. Papafitsoros, C.B. Schönlieb, and B. Sengul, Combined first and second order total variation inpainting using split Bregman, in Image Processing On Line, vol. 2013, pp. 112136.

F. Schubert, and C.B. Schönlieb, Random Simulations for Generative Art Construction  Some Examples, Journal of Mathematics and the Arts, Vol. 7, Issue 1, 2013, pp. 2939

A. Langer, S. Osher, and C.B. Schönlieb, Bregmanized Domain Decomposition for Image Restoration, Journal of Scientific Computing, Vol. 54, Issue 23, pp. 549576, 2013. UCLACAM report num. 1130.

M. Fornasier, Y. Kim, A. Langer, and C.B. Schönlieb, Wavelet Decomposition Method for L2/TVImage Deblurring, SIAM J. Imaging Sci., Vol. 5, No. 3, 2012, pp. 857885.

C. Gottschlich, C.B. Schönlieb, Oriented Diffusion Filtering for Enhancing Lowquality Fingerprint Images, IET Biometrics, Vol. 1, No. 2, pp. 105113, June 2012.

M. Burger, M. Franek, C.B. Schönlieb, Regularised Regression and Density estimation based on Optimal Transport, Appl. Math. Res. Express 2012 (2), pp. 209253.

C.B. Schönlieb, A. Bertozzi, Unconditionally stable schemes for higher order inpainting, Communications in Mathematical Sciences Volume 9, Issue 2, pp. 413457 (2011).

M. Fornasier, A. Langer, C.B. Schönlieb, A convergent overlapping domain decomposition method for total variation minimization, Numerische Mathematik, Vol. 116, Nr. 4, pp. 645  685 (2010).
 M. Burger, L. He, C.B. Schoenlieb, CahnHilliard inpainting and a generalization for grayvalue images, SIAM J. Imaging Sci. Volume 2, Issue 4, pp. 11291167 (2009), UCLACAM report num. 0841.
 M. Fornasier, C.B. Schoenlieb, Subspace correction methods for total variation and l1 minimization, SIAM J. Numer. Anal. Nr. 47 Issue 5, pp. 33973428 (2009), arXiv:0712.2258v1 [math.NA].
 C.B. Schoenlieb, Total variation minimization with an H−1 constraint, CRM Series 9, Singularities in Nonlinear Evolution Phenomena and Applications proceedings, Scuola Normale Superiore Pisa 2009, pp. 201232.
 W. Baatz, M. Fornasier, P. Markowich, C.B. Schoenlieb, Binary Based Fresco Restoration, Conference Proceedings of Bridges 2009, BANFF 2009, pp. 337338.
 J. D. Rossi, C.B. Schoenlieb, Nonlocal higher order evolution equations, Applicable Analysis. Vol. 89(6), pp. 949960, (2010).
 J. Fernandez Bonder, J. D. Rossi, C.B. Schoenlieb, The Best Constant and Extremals of the Sobolev Embeddings in Domains With Holes: the L∞ Case, Illinois Journal of Mathematics. Vol. 52(4), pp. 11111121, (2008).
 M.Burger, S.Y.Chu, P.Markowich, C.B. Schoenlieb, The Willmore Functional and Instabilities in the CahnHilliard equation, Communications in Mathematical Sciences, Volume 6, Issue 2 (June 2008), pp. 309329, 2008.
 J. Fernandez Bonder, J. D. Rossi, C.B. Schoenlieb, An Optimization Problem Related to the Best Sobolev Trace Constant in Thin Domains, Communications in Contemporary Mathematics (CCM), Volume 10, Issue 5 (October 2008), pp. 633650.