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- | ====== Dr. Stefania Petra ====== | ||
- | E-Mail: petra (at) math.uni (minus) heidelberg.de | ||
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- | ===== Scientific Interests ===== | ||
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- | My main research lie in **Mathematical Imaging** and **Optimization**. | ||
- | In particular, I am interested in **Compressed Sensing** as well as **Variational Inequalities** and **Complementarity Problems**, and how they can be applied in **Image Analysis** and **Tomography**. | ||
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- | ===== Teaching ===== | ||
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- | Lecture (WT 14/15) [[http://ipa.iwr.uni-heidelberg.de/ipa/doku.php?id=teaching:ft1415:ip:start| | ||
- | Variational Inequalities: Theory, Applications and Algorithms]] | ||
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- | ===== PhD Projects ===== | ||
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- | * **A. Denitiu** (08/2012 â 12/2015): //Compressed Sensing and 3D Tomography of Solid Objects// | ||
- | * **E. Bodnariuc** (since 09/2013): //Compressive Motion Sensing and Dynamic Echo PIV// | ||
- | * **R. Dalitz** (since 10/2013): //Compressive Motion Sensing and Dynamic Tomography// | ||
- | ===== Journal Publications ===== | ||
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- | {{:people:spetra:fi_2014_thumb.png |}} | ||
- | **Phase Transitions and Cosparse Tomographic Recovery of Compound Solid Bodies from Few Projections**\\ | ||
- | //A. Denitiu, S. Petra, Cl. Schnörr and Ch. Schnörr,// | ||
- | Fundam. Inform., 2014 | ||
- | {{:people:spetra:denitiu_et_al_fi_2014.pdf | pdf}} | ||
- | \\ | ||
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- | {{:people:spetra:laa2014_thumb.png |}} | ||
- | **Average Case Recovery Analysis of Tomographic Compressive Sensing**\\ | ||
- | //S. Petra, and C. Schnörr,// LAA, 2014 | ||
- | {{:people:spetra:petra2014.pdf | pdf}} | ||
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- | {{:people:spetra:sidt_thumb.png }} | ||
- | **Critical Parameter Values and Reconstruction | ||
- | Properties of Discrete Tomography: Application to Experimental | ||
- | Fluid Dynamics**\\ | ||
- | //S. Petra, C. Schnörr, and A. Schröder,// | ||
- | Fundam. Inform., 2013 | ||
- | {{:people:spetra:sidt_petra_et_al.pdf | pdf }} [[http://arxiv.org/abs/1209.4316|arXiv]] | ||
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- | {{:people:spetra:coap-walker-thumb.png }} | ||
- | **A class of quasi-variational inequalities for adaptive image denoising and decomposition**\\ | ||
- | //F. Lenzen, F. Becker, J. Lellmann, S. Petra, and C. Schnörr,// Comput. Optim. Appl., 2013 | ||
- | {{:people:spetra:lenzen_a_class_of_qvis_2012.pdf | pdf }} | ||
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- | {{:people:spetra:correlation_thumb.png }} | ||
- | **Variational Adaptive Correlation Method for Particle Image | ||
- | Velocimetry**\\ | ||
- | //F. Becker, B. Wieneke, S. Petra, A. Schröder, and C. Schnörr,// | ||
- | IEEE Trans. Image Proc., 2012 | ||
- | {{:people:spetra:becker2011_variationalcorrelation.pdf | pdf }} | ||
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- | {{:people:spetra:ijcm_thumb.png }} | ||
- | **A General Extending and Constraining Procedure for Linear Iterative Methods**\\ | ||
- | //A. Nicola, S. Petra, C. Popa, and C. Schnörr,// | ||
- | Int. J. Comp. Math., 2011 | ||
- | {{:people:spetra:nicola-et-al-2011.pdf | pdf }} | ||
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- | {{:people:spetra:puma_thumb.png }} | ||
- | **TomoPIV meets Compressed Sensing**\\ | ||
- | //S. Petra, and C. Schnörr,// Pure Math. Appl., 2009 {{:people:spetra:puma_09.pdf| pdf }} | ||
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- | {{:people:spetra:filterpnewton_thumb.png }} | ||
- | **Projected Filter Trust Region Methods for a Semismooth Least Squares | ||
- | Formulation of Mixed Complementarity Problems**\\ | ||
- | //C. Kanzow, and S. Petra,// | ||
- | Optim. Meth. and Soft., 2007 | ||
- | {{:people:spetra:pnewtonrev2.pdf | pdf }} | ||
- | \\ | ||
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- | {{:people:spetra:lsmcpp_thumb.png }} | ||
- | **On a Semismooth Least Squares Formulation of Complementarity Problems | ||
- | with Gap Reduction**\\ | ||
- | //C. Kanzow, and S. Petra,// | ||
- | Optim. Meth. and Soft., 2004 | ||
- | {{:people:spetra:lsmcpp.pdf | pdf }} | ||
- | \\ | ||
- | \\ | ||
- | ===== Preprints ===== | ||
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- | {{:people:spetra:laa_thumb.png }} | ||
- | **Average Case Recovery Analysis \\ of Tomographic Compressive Sensing**\\ | ||
- | //S. Petra, and C. Schnörr,// | ||
- | submitted to LAA, 2012 | ||
- | {{:people:spetra:tomo_cs.pdf | pdf }} [[|arXiv]] | ||
- | \\ | ||
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- | {{:people:spetra:inlsmcpp_thumbs.png }} | ||
- | **An Inexact Semismooth Least Squares Method for Large-Scale | ||
- | Complementarity Problems**\\ | ||
- | //C. Kanzow and S. Petra,// 2004 {{:people:spetra:inlsmcpp.pdf|pdf}} | ||
- | \\ | ||
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- | ===== Software ===== | ||
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- | {{:people:spetra:userguide_thump.png }} | ||
- | **LMMCP - A Levenberg-Marquardt-type MATLAB Solver | ||
- | for Mixed Complementarity Problems**\\ | ||
- | //C. Kanzow and S. Petra,// 2005 | ||
- | {{:people:spetra:userguide.pdf|pdf}} | ||
- | \\ | ||
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- | ===== Conference Publications ===== | ||
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- | {{:people:spetra:adaptive_disctionary_emmcvpr_thumb.png }} | ||
- | **Adaptive Dictionary-Based Spatio-Temporal | ||
- | Flow Estimation for Echo PIV**\\ | ||
- | //E. Bodnariuc, A. Gurung, S. Petra, and C. Schnörr,// EMMCVPR, 2015 | ||
- | {{:people:spetra:bodnariuc_emmcvpr2015.pdf | pdf}} | ||
- | \\ | ||
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- | {{:people:spetra:dgci_2014.png }} | ||
- | **An Entropic Perturbation Approach to TV-Minimization for Limited-Data Tomography**\\ | ||
- | //A. Denitiu, S. Petra, Cl. Schnörr and Ch. Schnörr,// DGCI, 2014 | ||
- | {{:people:spetra:denitiu_et_al_dgci2014.pdf | pdf}} | ||
- | \\ | ||
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- | {{:people:spetra:fvr11_thumb.png }} | ||
- | **Reconstruction Properties of Sensing Matrices in Tomographic Particle | ||
- | Imaging Velocimetry**\\ | ||
- | //S. Petra, A. Schröder and C. Schnörr,// FVR, 2011 | ||
- | {{:people:spetra:petra-et-al-fvr.pdf | pdf}} | ||
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- | {{:people:spetra:adaptive_denoising_ssvm_thumb.png }} \\ | ||
- | **Variational Image Denoising with Adaptive Constraint Sets**\\ | ||
- | //F. Lenzen, F. Becker, and J. Lellmann, S. Petra, and C. Schnörr,// SSVM, 2011 | ||
- | {{:people:lellmann:lenzen_et_al_variational_image_denoising2011.pdf|pdf}} | ||
- | \\ | ||
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- | {{:people:spetra:s_sparse11_thumb.png }} \\ | ||
- | **Sparse Templates-Based Shape Representation for Image | ||
- | Segmentation**\\ | ||
- | //S. Petra, D. Breitenreicher, J. Lellmann and C. Schnörr,// SPARS, 2011 | ||
- | {{:people:spetra:spars11_abs.pdf | pdf}} | ||
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- | {{:people:spetra:s_icnaam_thumb.png }} | ||
- | **TomoPIV meets Compressed Sensing**\\ | ||
- | //S. Petra, and C. Schnörr,// ICNAAM, 2010 | ||
- | {{:people:spetra:icnaam_ext_abs.pdf | pdf}} | ||
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- | {{:people:spetra:lasertech_thumb.png }} | ||
- | **Recasting Tomo-PIV Reconstruction as Constrained and L1-Regularized Non-Linear Least Squares Problem**\\ | ||
- | //S. Gesemann, D. Schanz, A. Schröder, S. Petra, and C. Schnörr,// | ||
- | LaserTECH, 2010 | ||
- | {{:people:spetra:gesemann_s_spg.pdf | pdf}} | ||
- | \\ | ||
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- | {{:people:spetra:dagm_thumb.png }} | ||
- | **On Sparsity Maximization in Tomographic Particle Image | ||
- | Reconstruction**\\ | ||
- | //S. Petra, A. Schröder, B. Wieneke, and C. Schnörr,// | ||
- | WMM, 2008 {{:people:spetra:dagmtomopiv.pdf | pdf}} | ||
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- | {{:people:spetra:wmm08_thumb.png }} | ||
- | **Enhancing Sparsity by Constraining Strategies: Constrained SIRT | ||
- | versus Spectral Projected Gradient Methods**\\ | ||
- | //S. Petra, C. Popa, and C. Schnörr,// | ||
- | WMM, 2008 {{:people:spetra:wmm08.pdf | pdf}} | ||
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- | {{:people:spetra:wmm07_thumb.png }} | ||
- | **Tomographic Image Reconstruction in Experimental Fluid | ||
- | Dynamics: Synopsis and Problems**\\ | ||
- | //S. Petra, C. Schnörr, A. Schröder, and B. Wieneke,// | ||
- | WMM, 2007 {{:people:spetra:wmm07.pdf | pdf}} | ||
- | \\ | ||
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- | ===== Book Chapter ===== | ||
- | {{:people:spetra:of_handbook_thumb.png }} | ||
- | **Optical Flow**\\ | ||
- | //F. Becker, S. Petra, and C. Schnörr,// | ||
- | Handbook of Mathematical Methods in Imaging, | ||
- | Springer, 2014 {{:people:spetra:of_becker_et_al_2015.pdf | pdf}} | ||
- | \\ | ||
- | \\ | ||
- | \\ | ||
- | {{:people:spetra:s_spp1147_thumb.png }} | ||
- | **3D Tomography from Few Projections in Experimental Fluid Mechanics**\\ | ||
- | //S. Petra, A. Schröder, and C. Schnörr,// | ||
- | Imaging Measurement Methods for Flow Analysis, | ||
- | Springer, 2009 {{:people:spetra:petra-et-al-09a.pdf | pdf}} | ||
- | \\ | ||
- | \\ | ||
- | ===== Short CV ===== | ||
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- | Jun ** 2001 ** B.Sc. in Mathematics and Computer Science at Cluj-Napoca University, Romania\\ | ||
- | Jun ** 2003 ** M.Sc. in Mathematics at Cluj-Napoca University\\ | ||
- | Jul ** 2006 ** Ph.D. in Mathematics at University Würzburg\\ | ||
- | Feb ** 2007 ** - Dec ** 2012 ** //postdoctoral research fellow// with IPA at Heidelberg University\\ (former CVGPR Group, University Mannheim)\\ | ||
- | since ** 2013 ** //junior research group leader// in the Faculty of Mathematics and Informatics at the University of Heidelberg, enrolled in the [[http://www.margarete-von-wrangell.de/ | Margarete von Wrangell]] postdoctoral lecture qualification program | ||
- | ===== Contact ===== | ||
- | |||
- | Stefania Petra\\ | ||
- | ipa - Image and Pattern Analysis Group\\ | ||
- | Department of Mathematics and Computer Science\\ | ||
- | University of Heidelberg\\ | ||
- | Speyerer Str. 6, room H 2.22\\ | ||
- | 69115 Heidelberg, Germany\\ | ||
- | |||
- | Tel: (+49) 6221 - 54 5288\\ | ||
- | Fax: (+49) 6221 - 54 5276 |