Ali G. Sheikh

Research interests

[Semiclassical Sampling of Helical CT] We are applying semiclassical sampling ideas to helical fan-beam CT.
[Coherent Optical Imaging through Atmospheric Turbulence] We are developing algorithms for estimating phase-errors due to atmospheric turbulence from digital holography data. Sponsored by the Air Force Research Lab.
Tools used: non-convex optimization, Bayesian modeling, expectation-maximization algorithm, Markov random field, Fourier optics
Relevant Publications:
- Ali G. Sheikh, Casey J. Pellizzari, Sherman J. Kisner, Gregery T. Buzzard, Charles A. Bouman, “Dynamic DH-MBIR for Phase-Error Estimation from Streaming Digital-Holography Data”, 2023 57th Asilomar Conference on Signals, Systems, and Computers
- Ali G. Sheikh, Casey J. Pellizzari, Sherman J. Kisner, Gregery T. Buzzard, and Charles A. Bouman "Dynamic DH-MBIR for low-latency wavefront estimation in the presence of atmospheric boiling", SPIE Unconventional Imaging, Sensing, and Adaptive Optics 2023

“Motivating Microlocal Analysis by Way of the Region-of-Interest Problem”, Fall 2024, Graduate Student Colloquium, Purdue University
“A Taste of Statistical Inverse Problems and the Expectation-Maximization (EM) Algorithm", Fall 2023, Graduate Student Analysis Seminar, Purdue University

IEEE Asilomar Conference on Signals, Systems, and Computers - Oct 29-Nov 1 2023, Pacific Grove, CA (I gave a talk in the computational imaging session)
SPIE Optics + Photonics: Unconventional Imaging, Sensing, and Adaptive Optics - Aug 20-24 2023, San Diego, CA (It was a fun conference where I got to hear from a lot of optics and physics people. I presented a talk titled “Dynamic DH-MBIR for real-time low latency wavefront estimation”.)

Geometric Inverse Problems and Inverse Problems for Elliptic Equations Summer School - Aug 19-22 2024, Santa Cruz, CA
Workshop on Mathematical Trends in Medical Imaging - Aug 7-10 2023, Chicago, IL (This was my first in-person inverse problems conference! Lots of fun!)

Tomography Across the Scales - Oct 10-Dec 3 2022, Linz, Austria (attended virtually…so many great talks!)
Global Harmonic Analysis
Conference in honor of Steve Zelditch - Sep 8-11 2022, Online
Special Session on Mathematical Methods for Inverse Problems at AMS Spring Central Sectional Meeting - Mar 26-27 2022, West Lafayette, IN (attended virtually)
Computational Imaging XX - Jan 18-22 2022, Online

These are some of the seminars I regularly attend.

Books and online resources that I regularly use, in alphabetical order.

Accessible to a general, non-math audience.