Publications

2013

• Rick Chartrand and Brendt Wohlberg, "A nonconvex ADMM algorithm for group sparsity with sparse groups", Submitted., 2013
• Sergey Voronin and Rick Chartrand, "A new generalized thresholding algorithm for inverse problems with sparsity constraints", Submitted., 2013

2012

• Brendt Wohlberg, Rick Chartrand and James Theiler, "Local Principal Component Pursuit for Nonlinear Datasets", in Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), (Kyoto, Japan), doi:10.1109/ICASSP.2012.6288776, pp. 3925--3928, Mar 2012
• Rick Chartrand, "Nonconvex splitting for regularized low-rank + sparse decomposition", IEEE Trans. Signal Process., vol. 60, pp. 5810--5819, 2012
• Amy E. Galbraith, Steven P. Brumby and Rick Chartrand, "Simulating vision through time: Hierarchical, sparse models of visual cortex for motion imagery", in IEEE Applied Imagery Pattern Recognition Workshop, 2012

2011

• Rick Chartrand, Emil Y. Sidky and Xiaochuan Pan, "Frequency extrapolation by nonconvex compressive sensing", in IEEE International Symposium on Biomedical Imaging (ISBI), 2011
• Rick Chartrand, "Numerical differentiation of noisy, nonsmooth data", ISRN Appl. Math., vol. 2011, doi:10.5402/2011/164564, 2011

2010

• Rick Chartrand and Brendt Wohlberg, "Total-variation regularization with bound constraints", in Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), (Dallas, TX, USA), doi:10.1109/ICASSP.2010.5494993, pp. 766--769, Mar 2010
• Emil Y. Sidky, Rick Chartrand, Yuval Duchin, Christer Ullberg and Xiaochuan Pan, "High resolution image reconstruction with constrained, total-variation minimization", in IEEE Nuclear Science Symposium Conference Record, 2010

2009

• Rick Chartrand, "Fast algorithms for nonconvex compressive sensing: MRI reconstruction from very few data", in IEEE International Symposium on Biomedical Imaging (ISBI), 2009
• Rick Chartrand, Kevin R. Vixie, Brendt Wohlberg and Erik M. Bollt, "A gradient descent solution to the Monge-Kantorovich problem", Appl. Math. Sci., vol. 3, no. 22, pp. 1071--1080, 2009
• Erik M. Bollt, Rick Chartrand, Selim Esedog̅lu, Peter F. Schultz and Kevin R. Vixie, "Graduated, adaptive image denoising: local compromise between total-variation and isotropic diffusion", Adv. Comput. Math., vol. 31, pp. 61--85, 2009

2008

• C. L. Morris, C. C. Alexander, J. D. Bacon, G. S. Blanpied, K. N. Borozdin, R. Chartrand, D. J. Clark, C. J. Espinoza, A. M. Fraser, M. C. Galassi, J. J. Gomez, J. S. Gonzales, J. A. Green, N. W. Hengartner, G. E. Hogan, A. V. Klimenko, M. F. Makela, P. McGaughey, J. J. Medina, F. E. Pazuchanics, W. C. Priedhorsky, J. C. Ramsey, A. Saunders, R. C. Schirato, L. J. Schultz and M. J. Sossong, "Tomographic imaging with cosmic-ray muons", Sci. Glob. Secur., vol. 16, pp. 37--53, 2008
• Emil Y. Sidky, Ingrid Reiser, Robert M. Nishikawa, Xiaochuan Pan, Rick Chartrand, Daniel B. Kopans and Richard H. Moore, "Practical iterative image reconstruction in digital breast tomosynthesis by non-convex TpV optimization ", in SPIE Medical Imaging, 2008
• Rick Chartrand, "Nonconvex compressive sensing and reconstruction of gradient-sparse images: random vs. tomographic Fourier sampling", in IEEE International Conference on Image Processing (ICIP), 2008
• Rick Chartrand and Valentina Staneva, "Restricted isometry properties and nonconvex compressive sensing", Inverse Problems, vol. 24, no. 035020, pp. 1--14, 2008
• Rick Chartrand and Valentina Staneva, "A faster-converging algorithm for image segmentation with a modified Chan-Vese model", in International Conference on Image Processing, Computer Vision, and Pattern Recognition (IPCV), 2008
• Rick Chartrand and Wotao Yin, "Iteratively reweighted algorithms for compressive sensing", in 33rd International Conference on Acoustics, Speech, and Signal Processing (ICASSP), 2008
• Rayan Saab, Rick Chartrand and Özgür Yilmaz, "Stable sparse approximations via nonconvex optimization", in 33rd International Conference on Acoustics, Speech, and Signal Processing (ICASSP), 2008
• Rick Chartrand and Valentina Staneva, "A quasi-Newton method for total variation regularization of images corrupted by non-Gaussian noise", IET Image Process., vol. 2, pp. 295--303, 2008

2007

• Emil Y. Sidky, Rick Chartrand and Xiaochuan Pan, "Image reconstruction from few views by non-convex optimization", in IEEE Nuclear Science Symposium Conference Record, 2007
• Rick Chartrand and Valentina Staneva, "Nonconvex regularization for image segmentation", in International Conference on Image Processing, Computer Vision, and Pattern Recognition (IPCV), 2007
• Rick Chartrand, "Nonconvex regularization for shape preservation", in IEEE International Conference on Image Processing (ICIP), 2007
• Rick Chartrand, "Exact reconstructions of sparse signals via nonconvex minimization", IEEE Signal Process. Lett., vol. 14, pp. 707--710, 2007
• Rick Chartrand, "Nonconvex compressed sensing and error correction", in 32nd International Conference on Acoustics, Speech, and Signal Processing (ICASSP), 2007
• C. L. Rousculp, J. E. Hammerberg, D. M. Oro, G. Rodriguez, P. M. Goodwin, M. A. Salazar, R. E. Reinovsky, R. J. Faehl, R. Chartrand, J. R. Becker, R. A. Berglin, K. W. Delzer, G. H. Gomez, R. M. Malone, D. V. Morgan, T. V. Pate, K. E. Theuer, D. A. Rigney and H. J. Kim, "Dynamic friction experiments at the Atlas Pulsed Power Facility", in 16th IEEE International Pulsed Power Conference, 2007
• Triet Le, Rick Chartrand and Thomas J. Asaki, "A variational approach to reconstructing images corrupted by Poisson noise", J. Math. Imaging Vision, vol. 27, pp. 257--263, 2007

2006

• Thomas J. Asaki, Patrick R. Campbell, Rick Chartrand, Collin E. Powell, Kevin R. Vixie and Brendt Wohlberg, "Abel inversion using total variation regularization: Applications", Inverse Probl. Sci. Eng., vol. 14, no. 8, pp. 873--885, Dec 2006
• J. A. Green, C. Alexander, T. Asaki, J. Bacon, G. Blanpied, K. Borozdin, A. Canabal-Rey, M. Cannon, R. Chartrand, D. Clark, C. Espinoza, E. Figueroa, A. Fraser, M. Galassi, J. Gomez, J. Gonzales, A. Green, N. Hengartner, G. Hogan, A. Klimenko, P. McGaughey, G. McGregor, J. Medina, C. Morris, K. Mosher, C. Orum, F. Pazuchanics, W. Priedhorsky, A. Sanchez, A. Saunders, R. Schirato, L. Schultz, M. Sossong, M. Sottile, J. Tenbrink, R. Van de Water, K. Vixie and B. Wohlberg, "Optimizing the tracking efficiency for cosmic ray muon tomography", in 2006 IEEE Nuclear Science Symposium Conference Record, 2006

2005

• T. J. Asaki, R. Chartrand, K. R. Vixie and B. Wohlberg, "Abel inversion using total-variation regularization", Inverse Problems, vol. 21, no. 6, pp. 1895--1903, 2005
• Konstantin Borozdin, Thomas Asaki, Rick Chartrand, Mark Galassi, Andrew Green, Nicolas Hengartner, Gary Hogan, Alexei Klimenko, Christopher Morris, William Priedhorsky, Alexander Saunders, Richard Schirato, Larry Schultz and Matthew Sottile, "Cosmic-ray muon tomography and its application to the detection of high-Z materials", in Proceedings of the 46th Annual Meeting, Institute of Nuclear Materials Management, 2005

2004

• K. Borozdin, T. Asaki, R. Chartrand, N. Hengartner, G. Hogan, C. Morris, W. Priedhorsky, R. Schirato, L. Schultz, M. Sottile, K. Vixie, B. Wohlberg and G. Blanpied, "Information extraction from muon radiography data", in ISAS/CITSA 2004: International Conference on Cybernetics and Information Technologies, Systems and Applications and 10th International Conference on Information Systems Analysis and Synthesis, Vol 2, Proceedings: Communications, Information and Control Systems, Technologies and Applications, pp. 27--30, 2004

2003

• Rick Chartrand, "Multipliers and Carleson measures for D(μ) ", Integral Equations Operator Theory, vol. 45, pp. 309--318, 2003

2002

• Rick Chartrand, "Toeplitz operators on Dirichlet-type spaces", J. Operator Theory, vol. 48, pp. 3--13, 2002

1999

• Rick Chartrand, Hilbert spaces of holomorphic functions: zero sets, invariant subspaces, and Toeplitz operators., PhD thesis, University of California, Berkeley, 1999

1994

• Rick Chartrand and Thomas Kucera, "Deissler rank complexity of powers of indecomposable injective modules", Notre Dame J. Formal Logic, vol. 35, pp. 398--402, 1994