Aditya Viswanathan
Assistant Professor
Mathematics
UNIVERSITY OF MICHIGAN DEARBORN
United States of America
Biography
Arizona State University, Tempe, AZ • Ph.D., Electrical Engineering, August 2010 Dissertation Title: “Imaging from Fourier Spectral Data: Problems in Non-harmonic Fourier Recon-struction, Discontinuity Detection and Point-spread Function Estimation"Co-Advisors: Anne Gelb (Dept. of Mathematics & Statistics) and Douglas Cochran • M.S., Electrical Engineering, August 2008 Thesis Title: “Spectral Sampling and Discontinuity Detection Methods with Application To MagneticResonance Imaging"R.V. College of Engineering, Bangalore, India • B.E., Electronics and Communication Engineering, June 2005Visvesvaraya Technological University.
Research Interest
Research Interests include: Computational Harmonic Analysis, Mathematical Signal Processing, Phase Retrieval, Spectral and High-Order Methods for PDEs, Computational Electromagnetics
Publications
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A. Viswanathan, Anne Gelb, Douglas Cochran and Rosemary Renaut.On Reconstruction fromNon-uniform Spectral Data. J. of Scientific Computing, Vol. 45, Issue 1–3, pp. 487–513, Oct. 2010.
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Wolfgang Stefan, A. Viswanathan, Anne Gelb and Rosemary Renaut.Sparsity Enforcing Edge DetectionMethod for Blurred and Noisy Fourier data. J. of Scientific Computing, Vol. 50, Issue 3, pp. 536–556,Mar. 2012.
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A. Viswanathan, Anne Gelb and Douglas Cochran.Iterative Design of Concentration Factors for JumpDetection. J. of Scientific Computing, Vol. 51, Issue 3, pp. 631–649, June 2012.
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Mark Iwen, A. Viswanathan and Yang Wang.Fast Phase Retrieval from Local Correlation Measurements.SIAM J. on Imaging Sciences, Vol. 9, Issue 4, pp. 1655–1688, Oct. 2016.