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people:spetra:start [2015/02/21 13:53]
ipa created
people:spetra:start [2018/08/10 15:32] (current)
ipa [Scientific Interests]
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 ===== 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**.
  
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 {{:​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}}
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 {{:​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}}
 \\ \\
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   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]]
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 {{:​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 }}
 \\ \\
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 **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 }}
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 {{:​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 }}
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 {{:​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 }}
 \\ \\
 \\  \\ 
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 {{:​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]]
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 **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}}
 \\ \\
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 {{:​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}}
 \\ \\
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 **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}}
 \\ \\
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 {{:​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}}
 \\ \\
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 **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}}
 \\ \\
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 {{:​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}}
 \\ \\
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 {{:​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}}
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 **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}}
 \\ \\
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 **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}}
 \\ \\
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 **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}}
 \\ \\
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 {{:​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}}
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 {{:​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}}