Publications

Publications and Preprints

Journal Articles

  1. Michael Perlmutter, Sami Merhi, A. Viswanathan and Mark Iwen. Inverting Spectrogram Measurements via Aliased Wigner Distribution Deconvolution and Angular Synchronization, Information and Inference: A Journal of the IMA, in press, October 2020. [arXiv] [preprint] [doi]

  2. Mark Iwen, Brian Preskitt, Rayan Saab and A. Viswanathan. Phase Retrieval from Local Measurements: Improved Robustness via Eigenvector-Based Angular Synchronization, Applied and Computational Harmonic Analysis, Vol. 48, Issue 1, pp. 415-444, Jan. 2020. [arXiv] [preprint] [doi]

  3. Mathialakan Thavappiragasam, A. Viswanathan, and Andrew Christlieb. MOL based fast high-order three dimensional A-stable scheme for wave propagation, Journal of Coupled Systems and Multiscale Dynamics, No. 2–4, pp. 151–163(13), Dec. 2017. [preprint] [doi]

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

  5. 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]

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

  7. 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, pp. 536–556, Mar. 2012. [doi] [preprint]

  8. 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, pp. 487–513, Oct. 2010. [doi]

Refereed Conference Proceedings

  1. Cyril Cordor*, Brendan Williams*, Yulia Hristova and A. Viswanathan, Fast 2D Phase Retrieval using Bandlimited Masks, Proceedings of the 28th European Signal Processing Conference (EUSIPCO), pp. 980–984, 2020, August, Amsterdam, Netherlands. *Undergraduate students. [preprint]

  2. Michael Perlmutter, Nada Sissouno, Mark Iwen and A. Viswanathan, A Provably Accurate Algorithm for Recovering Compactly Supported Smooth Functions from Spectrogram Measurements, Proceedings of the 28th European Signal Processing Conference (EUSIPCO), pp. 970–974, 2020, August, Amsterdam, Netherlands. [preprint]

  3. Mark Iwen, Brian Preskitt, Rayan Saab and A. Viswanathan. Two Dimensional Phase Retrieval from Local Measurements, Proceedings of the SPIE Optical Engineering + Applications conference on Wavelets and Sparsity XVII, San Diego, CA, vol. 10394, no. 103940X, Aug. 2017. [doi] [preprint]

  4. 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), Proceedings of the SPIE Optical Engineering + Applications conference on Wavelets and Sparsity XVII, San Diego, CA, vol. 10394, no. 1039414, Aug. 2017. *Undergraduate students. [doi] [preprint]

  5. Sami Merhi, A. Viswanathan and Mark Iwen. Recovery of Compactly Supported Functions from Spectrogram Measurements via Lifting, Proceedings of the 12 International Conference on Sampling Theory and Applications (SampTA), Tallinn, Estonia, pp. 538–542, July 2017. [doi] [preprint]

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

  7. A. Viswanathan and Mark Iwen. Fast Angular Synchronization for Phase Retrieval via Incomplete Information. Proceedings of SPIE Optical Engineering + Applications conference on Wavelets and Sparsity XVI, vol 9597, no. 959718, Aug. 2015. [doi] [preprint]

  8. A. Viswanathan, Douglas Cochran, Anne Gelb and Dennis Cates. Detection of Signal Discontinuities from Noisy Fourier Data. 42 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]

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

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