Differences
This shows you the differences between two versions of the page.
Next revision | Previous revision | ||
people:spetra:start [2015/02/21 13:53] ipa created |
people:spetra:start [2021/03/02 13:28] (current) |
||
---|---|---|---|
Line 5: | Line 5: | ||
===== Scientific Interests ===== | ===== Scientific Interests ===== | ||
- | My main research lie in **Mathematical Imaging** and **Optimization**. | + | 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**. | 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**. | ||
Line 23: | Line 23: | ||
{{:people:spetra:fi_2014_thumb.png |}} | {{:people:spetra:fi_2014_thumb.png |}} | ||
**Phase Transitions and Cosparse Tomographic Recovery of Compound Solid Bodies from Few Projections**\\ | **Phase Transitions and Cosparse Tomographic Recovery of Compound Solid Bodies from Few Projections**\\ | ||
- | //A. Denitiu, S. Petra, Cl. Schnörr and Ch. Schnörr,// | + | //A. Denitiu, S. Petra, Cl. Schnörr and Ch. Schnörr,// |
Fundam. Inform., 2014 | Fundam. Inform., 2014 | ||
{{:people:spetra:denitiu_et_al_fi_2014.pdf | pdf}} | {{:people:spetra:denitiu_et_al_fi_2014.pdf | pdf}} | ||
Line 32: | Line 32: | ||
{{:people:spetra:laa2014_thumb.png |}} | {{:people:spetra:laa2014_thumb.png |}} | ||
**Average Case Recovery Analysis of Tomographic Compressive Sensing**\\ | **Average Case Recovery Analysis of Tomographic Compressive Sensing**\\ | ||
- | //S. Petra, and C. Schnörr,// LAA, 2014 | + | //S. Petra, and C. Schnörr,// LAA, 2014 |
{{:people:spetra:petra2014.pdf | pdf}} | {{:people:spetra:petra2014.pdf | pdf}} | ||
\\ | \\ | ||
Line 43: | Line 43: | ||
Properties of Discrete Tomography: Application to Experimental | Properties of Discrete Tomography: Application to Experimental | ||
Fluid Dynamics**\\ | Fluid Dynamics**\\ | ||
- | //S. Petra, C. Schnörr, and A. Schröder,// | + | //S. Petra, C. Schnörr, and A. Schröder,// |
Fundam. Inform., 2013 | Fundam. Inform., 2013 | ||
{{:people:spetra:sidt_petra_et_al.pdf | pdf }} [[http://arxiv.org/abs/1209.4316|arXiv]] | {{:people:spetra:sidt_petra_et_al.pdf | pdf }} [[http://arxiv.org/abs/1209.4316|arXiv]] | ||
Line 53: | Line 53: | ||
{{:people:spetra:coap-walker-thumb.png }} | {{:people:spetra:coap-walker-thumb.png }} | ||
**A class of quasi-variational inequalities for adaptive image denoising and decomposition**\\ | **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 | + | //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 }} | {{:people:spetra:lenzen_a_class_of_qvis_2012.pdf | pdf }} | ||
\\ | \\ | ||
Line 62: | Line 62: | ||
**Variational Adaptive Correlation Method for Particle Image | **Variational Adaptive Correlation Method for Particle Image | ||
Velocimetry**\\ | Velocimetry**\\ | ||
- | //F. Becker, B. Wieneke, S. Petra, A. Schröder, and C. Schnörr,// | + | //F. Becker, B. Wieneke, S. Petra, A. Schröder, and C. Schnörr,// |
IEEE Trans. Image Proc., 2012 | IEEE Trans. Image Proc., 2012 | ||
{{:people:spetra:becker2011_variationalcorrelation.pdf | pdf }} | {{:people:spetra:becker2011_variationalcorrelation.pdf | pdf }} | ||
Line 71: | Line 71: | ||
{{:people:spetra:ijcm_thumb.png }} | {{:people:spetra:ijcm_thumb.png }} | ||
**A General Extending and Constraining Procedure for Linear Iterative Methods**\\ | **A General Extending and Constraining Procedure for Linear Iterative Methods**\\ | ||
- | //A. Nicola, S. Petra, C. Popa, and C. Schnörr,// | + | //A. Nicola, S. Petra, C. Popa, and C. Schnörr,// |
Int. J. Comp. Math., 2011 | Int. J. Comp. Math., 2011 | ||
{{:people:spetra:nicola-et-al-2011.pdf | pdf }} | {{:people:spetra:nicola-et-al-2011.pdf | pdf }} | ||
Line 82: | Line 82: | ||
{{:people:spetra:puma_thumb.png }} | {{:people:spetra:puma_thumb.png }} | ||
**TomoPIV meets Compressed Sensing**\\ | **TomoPIV meets Compressed Sensing**\\ | ||
- | //S. Petra, and C. Schnörr,// Pure Math. Appl., 2009 {{:people:spetra:puma_09.pdf| pdf }} | + | //S. Petra, and C. Schnörr,// Pure Math. Appl., 2009 {{:people:spetra:puma_09.pdf| pdf }} |
\\ | \\ | ||
\\ | \\ | ||
Line 113: | Line 113: | ||
{{:people:spetra:laa_thumb.png }} | {{:people:spetra:laa_thumb.png }} | ||
**Average Case Recovery Analysis \\ of Tomographic Compressive Sensing**\\ | **Average Case Recovery Analysis \\ of Tomographic Compressive Sensing**\\ | ||
- | //S. Petra, and C. Schnörr,// | + | //S. Petra, and C. Schnörr,// |
submitted to LAA, 2012 | submitted to LAA, 2012 | ||
{{:people:spetra:tomo_cs.pdf | pdf }} [[|arXiv]] | {{:people:spetra:tomo_cs.pdf | pdf }} [[|arXiv]] | ||
Line 147: | Line 147: | ||
**Adaptive Dictionary-Based Spatio-Temporal | **Adaptive Dictionary-Based Spatio-Temporal | ||
Flow Estimation for Echo PIV**\\ | Flow Estimation for Echo PIV**\\ | ||
- | //E. Bodnariuc, A. Gurung, S. Petra, and C. Schnörr,// EMMCVPR, 2015 | + | //E. Bodnariuc, A. Gurung, S. Petra, and C. Schnörr,// EMMCVPR, 2015 |
{{:people:spetra:bodnariuc_emmcvpr2015.pdf | pdf}} | {{:people:spetra:bodnariuc_emmcvpr2015.pdf | pdf}} | ||
\\ | \\ | ||
Line 155: | Line 155: | ||
{{:people:spetra:dgci_2014.png }} | {{:people:spetra:dgci_2014.png }} | ||
**An Entropic Perturbation Approach to TV-Minimization for Limited-Data Tomography**\\ | **An Entropic Perturbation Approach to TV-Minimization for Limited-Data Tomography**\\ | ||
- | //A. Denitiu, S. Petra, Cl. Schnörr and Ch. Schnörr,// DGCI, 2014 | + | //A. Denitiu, S. Petra, Cl. Schnörr and Ch. Schnörr,// DGCI, 2014 |
{{:people:spetra:denitiu_et_al_dgci2014.pdf | pdf}} | {{:people:spetra:denitiu_et_al_dgci2014.pdf | pdf}} | ||
\\ | \\ | ||
Line 165: | Line 165: | ||
**Reconstruction Properties of Sensing Matrices in Tomographic Particle | **Reconstruction Properties of Sensing Matrices in Tomographic Particle | ||
Imaging Velocimetry**\\ | Imaging Velocimetry**\\ | ||
- | //S. Petra, A. Schröder and C. Schnörr,// FVR, 2011 | + | //S. Petra, A. Schröder and C. Schnörr,// FVR, 2011 |
{{:people:spetra:petra-et-al-fvr.pdf | pdf}} | {{:people:spetra:petra-et-al-fvr.pdf | pdf}} | ||
\\ | \\ | ||
Line 174: | Line 174: | ||
{{:people:spetra:adaptive_denoising_ssvm_thumb.png }} \\ | {{:people:spetra:adaptive_denoising_ssvm_thumb.png }} \\ | ||
**Variational Image Denoising with Adaptive Constraint Sets**\\ | **Variational Image Denoising with Adaptive Constraint Sets**\\ | ||
- | //F. Lenzen, F. Becker, and J. Lellmann, S. Petra, and C. Schnörr,// SSVM, 2011 | + | //F. Lenzen, F. Becker, and J. Lellmann, S. Petra, and C. Schnörr,// SSVM, 2011 |
{{:people:lellmann:lenzen_et_al_variational_image_denoising2011.pdf|pdf}} | {{:people:lellmann:lenzen_et_al_variational_image_denoising2011.pdf|pdf}} | ||
\\ | \\ | ||
Line 185: | Line 185: | ||
**Sparse Templates-Based Shape Representation for Image | **Sparse Templates-Based Shape Representation for Image | ||
Segmentation**\\ | Segmentation**\\ | ||
- | //S. Petra, D. Breitenreicher, J. Lellmann and C. Schnörr,// SPARS, 2011 | + | //S. Petra, D. Breitenreicher, J. Lellmann and C. Schnörr,// SPARS, 2011 |
{{:people:spetra:spars11_abs.pdf | pdf}} | {{:people:spetra:spars11_abs.pdf | pdf}} | ||
\\ | \\ | ||
Line 193: | Line 193: | ||
{{:people:spetra:s_icnaam_thumb.png }} | {{:people:spetra:s_icnaam_thumb.png }} | ||
**TomoPIV meets Compressed Sensing**\\ | **TomoPIV meets Compressed Sensing**\\ | ||
- | //S. Petra, and C. Schnörr,// ICNAAM, 2010 | + | //S. Petra, and C. Schnörr,// ICNAAM, 2010 |
{{:people:spetra:icnaam_ext_abs.pdf | pdf}} | {{:people:spetra:icnaam_ext_abs.pdf | pdf}} | ||
\\ | \\ | ||
Line 203: | Line 203: | ||
{{:people:spetra:lasertech_thumb.png }} | {{:people:spetra:lasertech_thumb.png }} | ||
**Recasting Tomo-PIV Reconstruction as Constrained and L1-Regularized Non-Linear Least Squares Problem**\\ | **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,// | + | //S. Gesemann, D. Schanz, A. Schröder, S. Petra, and C. Schnörr,// |
LaserTECH, 2010 | LaserTECH, 2010 | ||
{{:people:spetra:gesemann_s_spg.pdf | pdf}} | {{:people:spetra:gesemann_s_spg.pdf | pdf}} | ||
Line 214: | Line 214: | ||
**On Sparsity Maximization in Tomographic Particle Image | **On Sparsity Maximization in Tomographic Particle Image | ||
Reconstruction**\\ | Reconstruction**\\ | ||
- | //S. Petra, A. Schröder, B. Wieneke, and C. Schnörr,// | + | //S. Petra, A. Schröder, B. Wieneke, and C. Schnörr,// |
WMM, 2008 {{:people:spetra:dagmtomopiv.pdf | pdf}} | WMM, 2008 {{:people:spetra:dagmtomopiv.pdf | pdf}} | ||
\\ | \\ | ||
Line 227: | Line 227: | ||
**Enhancing Sparsity by Constraining Strategies: Constrained SIRT | **Enhancing Sparsity by Constraining Strategies: Constrained SIRT | ||
versus Spectral Projected Gradient Methods**\\ | versus Spectral Projected Gradient Methods**\\ | ||
- | //S. Petra, C. Popa, and C. Schnörr,// | + | //S. Petra, C. Popa, and C. Schnörr,// |
WMM, 2008 {{:people:spetra:wmm08.pdf | pdf}} | WMM, 2008 {{:people:spetra:wmm08.pdf | pdf}} | ||
\\ | \\ | ||
Line 239: | Line 239: | ||
**Tomographic Image Reconstruction in Experimental Fluid | **Tomographic Image Reconstruction in Experimental Fluid | ||
Dynamics: Synopsis and Problems**\\ | Dynamics: Synopsis and Problems**\\ | ||
- | //S. Petra, C. Schnörr, A. Schröder, and B. Wieneke,// | + | //S. Petra, C. Schnörr, A. Schröder, and B. Wieneke,// |
WMM, 2007 {{:people:spetra:wmm07.pdf | pdf}} | WMM, 2007 {{:people:spetra:wmm07.pdf | pdf}} | ||
\\ | \\ | ||
Line 246: | Line 246: | ||
{{:people:spetra:of_handbook_thumb.png }} | {{:people:spetra:of_handbook_thumb.png }} | ||
**Optical Flow**\\ | **Optical Flow**\\ | ||
- | //F. Becker, S. Petra, and C. Schnörr,// | + | //F. Becker, S. Petra, and C. Schnörr,// |
Handbook of Mathematical Methods in Imaging, | Handbook of Mathematical Methods in Imaging, | ||
Springer, 2014 {{:people:spetra:of_becker_et_al_2015.pdf | pdf}} | Springer, 2014 {{:people:spetra:of_becker_et_al_2015.pdf | pdf}} | ||
Line 254: | Line 254: | ||
{{:people:spetra:s_spp1147_thumb.png }} | {{:people:spetra:s_spp1147_thumb.png }} | ||
**3D Tomography from Few Projections in Experimental Fluid Mechanics**\\ | **3D Tomography from Few Projections in Experimental Fluid Mechanics**\\ | ||
- | //S. Petra, A. Schröder, and C. Schnörr,// | + | //S. Petra, A. Schröder, and C. Schnörr,// |
Imaging Measurement Methods for Flow Analysis, | Imaging Measurement Methods for Flow Analysis, | ||
Springer, 2009 {{:people:spetra:petra-et-al-09a.pdf | pdf}} | Springer, 2009 {{:people:spetra:petra-et-al-09a.pdf | pdf}} |