John Bardsley's Publications Page
Scientific Papers in Progress
"An Iterative Method for Edge-Preserving MAP Estimation when Data-Noise is Poisson," submitted with John Goldes, PDF preprint.
"Stopping Rules for a Nonnegatively Constrained Iterative Method for Ill-Posed Poisson Imaging Problems," submitted, PDF preprint.
"Large-Scale Kalman Filtering Using the Limited Memory BFGS Method", submitted with A. Auvinen, H. Haario, and T. Kauranne, PDF preprint
Refereed Journal Articles
20. "An Analysis of Regularization by Diffusion for Ill-Posed Poisson Likelihood Estimation," with N'djekornom Laobeul, accepted in Inverse Problems in Science and Engineering PDF preprint.
19. "Total Variation-Penalized Poisson Likelihood Estimation for Ill-Posed Problems," with Aaron Luttman, Advances in Computational Mathematics, DOI 10.1007/s10444-008-9081-8, to appear in print PDF preprint.
18. "An Efficient Computational Method for Total Variation-Penalized Poisson Likelihood Estimation," Inverse Problems and Imaging, vol. 2, no. 2, 2008, pp. 167 - 185 PDF preprint.
17. "The Stabilizing Properties of Nonnegativity Constraints in Least-Squares Image Reconstruction," with Jorma Merikoski and Roberto Vio, International Journal of Pure and Applied Mathematics, vol. 43, no. 1, 2008, pp. 95-109 PDF preprint.
16. "An Efficient Phase and Object Estimation Scheme for Phase-Diversity Time Series Data," IEEE Transactions on Image Processing, volume 17, issue 1, 2008, p. 9-15 PDF preprint. See MATLAB code here.
15. "An Analysis of Methods for Wavefront Reconstruction From Gradient Measurements in Adaptive Optics," International Journal of Pure and Applied Mathematics, Vol. 42, No. 1, 2008, pp. 71-81 PDF preprint.
14. "Wavefront Reconstruction Methods for Adaptive Optics Systems on Ground-Based Telescopes," SIAM Journal on Matrix Analysis and Application, Volume 30 Issue 1, 2008, pp. 67-83 PDF preprint. See MATLAB code here.
13. "Tikhonov Regularized Poisson Likelihood Estimation: Theoretical Justification and a Computational Method," with N'djekornom Laobeul, Inverse Problems in Science and Engineering, Volume 16, Issue 2 January 2008 , pages 199 - 215 PDF preprint.
12. "Analysis of Pattern Formation on the Surface of Respiring Leaves," with Aaron Luttman and Emily Stone, Physica D, Vol 232, Issue 2, 2007, pp. 142-155. PDF preprint.
11. "A Variational Approach to Image Segmentation for Botanical Data," with Aaron Luttman, SIAM Journal on Scientific Computing (SISC), Vol 29, Issue 4, 2007, pp. 1550-1566.PDF preprint. This paper was featured in Science Magazine's Editors' Choice column. PDF preprint. Erratum in SISC Vol 30, Issue 1, p. 548 PDF.
10. "A Computational Method for the Restoration of Images With an Unknown, Spatially-Varying Blur," with Stuart Jeffries, Jim Nagy and Bob Plemmons, Optics Express, vol. 14, Iss. 5, 2006, pp. 1767-1782, PDF preprint.
09. "Covariance-Preconditioned Iterative Methods for Nonnegatively Constrained Astronomical Imaging," with Jim Nagy, SIAM Journal on Matrix Analysis and Applications, Vol. 27, No. 4, 2006, pp. 1184-1198, PDF preprint.
08. "Dealing with edge effects in least-squares image deconvolution problems," with R. Vio, M. Donatelli, and W. Wamsteker, Astronomy and Astrophysics, vol. 442, pp. 397-403, 2005. PDF preprint
07. "A Nonnegatively Constrained Trust Region Algorithm for the
Restoration of Images with an Unknown Blur," Electronic Transactions in
Numerical Analysis, vol. 20, 2005, pp. 139-153.
PDF preprint.
06. "Least-Squares methods with Poissonian noise: analysis and
a comparison with the Richardson-Lucy algorithm," with R. Vio and W. Wamsteker,
Astronomy and Astrophysics, 436, 2005, pp. 741-755 PDF preprint.
05. "Wellposedness for Systems Arising in Time Domain Electromagnetics in Dielectrics," with H. T. Banks; DTIC, Storming Media, Pentagon Report A329154
PDF preprint.
04. "Parameter Identification for a Dispersive Dielectric
in 2D Electromagnetics: Forward and Inverse Methodology with Statistical
Considerations," with H. T. Banks, International Journal of Computational
and Numerical Analysis and Applications, vol. 5, No. 1, 2004, pp. 13--49.
PDF preprint.
03. "A Limited Memory, Quasi-Newton Preconditioner for Nonnegatively Constrained
Image Reconstruction," Journal of the Optical
Society of America A, vol. 21, no. 5, 2004, pp. 724-731.
PDF preprint
02. "A Nonnnegatively Constrained Convex Programming Method for Image
Reconstruction," with C.R. Vogel, SIAM Journal on
Scientific Computing, vol. 25, no. 4, 2004, pp. 1326-1343.
PDF preprint.
See MATLAB code here.
01. "Computational Methods for a Large-Scale Inverse Problem Arising in
Atmospheric Optics," with Luc Gilles and C.R. Vogel, Inverse Problems,
18, 2002, pp. 237-252.
PDF preprint.
See MATLAB code here.
Non-refereed Conference Proceedings and Technical Reports
3. "Wavefront Estimation for Adaptive Optics Systems on Ground-Based Telescopes," PAMM Volume 7, Issue 1 , Pages 1021701 - 1021702, 2008, Proceedings of the 2007 International Conference of Industrial and Applied Mathematics, PDF preprint.
2. "Blind Iterative Restoration of Images with Spatially-Varying Blur," with Stuart Jeffries, Jim Nagy and Bob Plemmons, 2005 AMOS Technical Conference Proceedings, PDF preprint.
1. "An Inverse Problem in X-Ray Radiography," with V. Korostyshevskiy,
L.C. Parra, S. LaVoie, T.J. Leiterman, J. Reese, B. Song, Technical Report,
Center for Research in Scientific Computation, CRSC-TR01-27, NCSU, 2001.
0. "A Bound-Constrained Levenburg-Marquardt Algorithm for a Class of Parameter Identification
Problems Arising in Electromagnetics," PDF preprint. See MATLAB code here.