Dr. Stefania Petra
E-Mail: petra (at) math.uni (minus) heidelberg.de
Scientific Interests
My main research lies 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.
Teaching
Lecture (WT 14/15) Variational Inequalities: Theory, Applications and Algorithms
PhD Projects
- 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
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
pdf
Average Case Recovery Analysis of Tomographic Compressive Sensing
S. Petra, and C. Schnörr, LAA, 2014
pdf
Critical Parameter Values and Reconstruction
Properties of Discrete Tomography: Application to Experimental
Fluid Dynamics
S. Petra, C. Schnörr, and A. Schröder,
Fundam. Inform., 2013
pdf arXiv
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
pdf
Variational Adaptive Correlation Method for Particle Image
Velocimetry
F. Becker, B. Wieneke, S. Petra, A. Schröder, and C. Schnörr,
IEEE Trans. Image Proc., 2012
pdf
A General Extending and Constraining Procedure for Linear Iterative Methods
A. Nicola, S. Petra, C. Popa, and C. Schnörr,
Int. J. Comp. Math., 2011
pdf
TomoPIV meets Compressed Sensing
S. Petra, and C. Schnörr, Pure Math. Appl., 2009 pdf
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
pdf
On a Semismooth Least Squares Formulation of Complementarity Problems
with Gap Reduction
C. Kanzow, and S. Petra,
Optim. Meth. and Soft., 2004
pdf
Preprints
Average Case Recovery Analysis
of Tomographic Compressive Sensing
S. Petra, and C. Schnörr,
submitted to LAA, 2012
pdf arXiv
An Inexact Semismooth Least Squares Method for Large-Scale
Complementarity Problems
C. Kanzow and S. Petra, 2004 pdf
Software
LMMCP - A Levenberg-Marquardt-type MATLAB Solver
for Mixed Complementarity Problems
C. Kanzow and S. Petra, 2005
pdf
Conference Publications
Adaptive Dictionary-Based Spatio-Temporal
Flow Estimation for Echo PIV
E. Bodnariuc, A. Gurung, S. Petra, and C. Schnörr, EMMCVPR, 2015
pdf
An Entropic Perturbation Approach to TV-Minimization for Limited-Data Tomography
A. Denitiu, S. Petra, Cl. Schnörr and Ch. Schnörr, DGCI, 2014
pdf
Reconstruction Properties of Sensing Matrices in Tomographic Particle
Imaging Velocimetry
S. Petra, A. Schröder and C. Schnörr, FVR, 2011
pdf
Variational Image Denoising with Adaptive Constraint Sets
F. Lenzen, F. Becker, and J. Lellmann, S. Petra, and C. Schnörr, SSVM, 2011
pdf
Sparse Templates-Based Shape Representation for Image
Segmentation
S. Petra, D. Breitenreicher, J. Lellmann and C. Schnörr, SPARS, 2011
pdf
TomoPIV meets Compressed Sensing
S. Petra, and C. Schnörr, ICNAAM, 2010
pdf
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
pdf
On Sparsity Maximization in Tomographic Particle Image
Reconstruction
S. Petra, A. Schröder, B. Wieneke, and C. Schnörr,
WMM, 2008 pdf
Enhancing Sparsity by Constraining Strategies: Constrained SIRT
versus Spectral Projected Gradient Methods
S. Petra, C. Popa, and C. Schnörr,
WMM, 2008 pdf
Tomographic Image Reconstruction in Experimental Fluid
Dynamics: Synopsis and Problems
S. Petra, C. Schnörr, A. Schröder, and B. Wieneke,
WMM, 2007 pdf
Book Chapter
Optical Flow
F. Becker, S. Petra, and C. Schnörr,
Handbook of Mathematical Methods in Imaging,
Springer, 2014 pdf
3D Tomography from Few Projections in Experimental Fluid Mechanics
S. Petra, A. Schröder, and C. Schnörr,
Imaging Measurement Methods for Flow Analysis,
Springer, 2009 pdf
Short CV
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 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