Publications

Publications and Preprints

Journal Articles

  1. Mark Iwen, A. Viswanathan and Yang Wang. Fast Phase Retrieval from Local Correlation Measurements. SIAM Journal on Imaging Sciences, Vol. 9, Issue 4, pages 1655–1688, Oct. 2016. [arXiv] [preprint] [doi]

  2. Mark Iwen, A. Viswanathan and Yang Wang. Robust Sparse Phase Retrieval Made Easy. Applied and Computational Harmonic Analysis, Vol. 42, Issue 1, pp. 135–142, Jan. 2017. [arXiv] [preprint] [doi]

  3. A. Viswanathan, Anne Gelb and Douglas Cochran. Iterative Design of Concentration Factors for Jump Detection. Journal of Scientific Computing, Vol. 51, Issue 3, pages 631–649, June 2012. [doi] [preprint]

  4. Wolfgang Stefan, A. Viswanathan, Anne Gelb and Rosemary Renaut. Sparsity Enforcing Edge Detection Method for Blurred and Noisy Fourier data. Journal of Scientific Computing, Vol. 50, Issue 3, pages 536–556, Mar. 2012. [doi] [preprint]

  5. A. Viswanathan, Anne Gelb, Douglas Cochran and Rosemary Renaut. On Reconstruction from Non-uniform Spectral Data. Journal of Scientific Computing, Vol. 45, Issue 1–3, pages 487–513, Oct. 2010. [doi]

Preprints

  1. Brian Preskitt, A. Viswanathan, Mark Iwen and Rayan Saab. Phase Retrieval from Local Measurements: Improved Robustness via Eigenvector-Based Angular Synchronization, submitted, Dec. 2016. [arXiv] [preprint]

  2. Anne Gelb, Guohui Song, A. Viswanathan and Yang Wang. Detection of Edges from Two-Dimensional Fourier Data using Gaussian Mollifiers, Sept. 2016. [preprint]

In Preparation

  1. Andrew Christlieb and A. Viswanathan. High-Order Non-Reflecting Boundary Conditions for Method of Lines Transpose Wave Propagators, in preparation.

Refereed Conference Proceedings

  1. Mark Iwen, Brian Preskitt, Rayan Saab and A. Viswanathan. Two Dimensional Phase Retrieval from Local Measurements, accepted to the SPIE Optical Engineering + Applications conference on Wavelets and Sparsity XVII, Aug. 2017.

  2. Jade Larriva-Latt*, Angela Morrison*, Alison Radgowski*, Joseph Tobin*, Mark Iwen and A. Viswanathan. Edge-Augmented Fourier Partial Sums with Applications to Magnetic Resonance Imaging (MRI), accepted to the SPIE Optical Engineering + Applications conference on Wavelets and Sparsity XVII, Aug. 2017. *Undergraduate students. [preprint]

  3. Sami Merhi, A. Viswanathan and Mark Iwen. Recovery of Compactly Supported Functions from Spectrogram Measurements via Lifting, accepted to the 12th International Conference on Sampling Theory and Applications (SampTA), Tallinn, Estonia, July 2017. [preprint]

  4. A. Viswanathan and Mark Iwen. Fast Compressive Phase Retrieval. Proceedings of the 49th Asilomar Conference on Signals, Systems and Computers, pages 1686–1690, IEEE, Nov. 2015. [doi] [preprint]

  5. A. Viswanathan and Mark Iwen. Fast Angular Synchronization for Phase Retrieval via Incomplete Information. Proceedings of SPIE 9597, Wavelets and Sparsity XVI, 959718, Aug. 2015. [doi] [preprint]

  6. A. Viswanathan, Douglas Cochran, Anne Gelb and Dennis Cates. Detection of Signal Discontinuities from Noisy Fourier Data. 42nd Asilomar Conference on Signals, Systems and Computers, pages 1705–1708, IEEE, Oct. 2008. [doi] [preprint]

Technical Reports and Unpublished Notes

  1. Jade Larriva-Latt, Angela Morrison, Alison Radgowski, Joseph Tobin, Mark Iwen and A. Viswanathan. Technical Report: Improved Fourier Reconstruction using Jump Information with Applications to MRI. 2016. [pdf] [arXiv]

  2. Mark Iwen, Felix Krahmer and A. Viswanathan. Technical Note: A Minor Correction of Theorem 1.3 from [1]. 2015. [pdf]

Here are copies of my Master’s thesis and Ph.D. dissertation.