The Imaging and Computing Group (ICG) studies inverse problems related to wave scattering and high-frequency data.

The group‘s research directions include computational wave propagation, fast numerical algorithms, applied harmonic analysis, nonlinear signal processing, convex optimization, and the mathematics of sparse and separated expansions. The problems we consider are often motivated by real-life challenges in seismic and radar imaging.

We are always on the lookout for talented people to join the group!

Research Highlights

When is superresolution of sparse signals possible? We quantify regimes of stable super-resolved recovery of sparse signals from bandlimited measurements. In the case of adversarial deterministic noise of ...read more

A scalable solver for the Helmholtz equation. We present a numerical method for the 2D high-frequency Helmholtz equation with online parallel complexity that scales sublinearly as O(N/L), where N is the number ...read more

Convex recovery from interferometric measurements. We show a deterministic stability result for the recovery of vectors from interferometric measurements, which have important applications in model-robust ...read more

Matrix probing: randomized fitting for the wave-equation Hessian. What can be determined about the pseudoinverse pinv(A) of a matrix A from one application of A to a vector of random entries? A ...read more

A butterfly algorithm for synthetic aperture radar imaging. We propose what is perhaps the first O(N log N) controlled-accuracy algorithm for SAR imaging. We use the butterfly scheme, an alternative to the FFT ...read more

Wave computation with Fourier integral operators. We propose a new time upscaling method to avoid the CFL condition for acoustic wave propagation in a smooth heterogeneous medium, by numerically representing ...read more

News and Events

May 2018

Congratulations to research affiliate and former postdoc Elita Li, who received the Karcher award from SEG, for outstanding contributions by a young geophysicist.

September 2017

Welcome to Hongyu Sun and Felipe Suarez, new graduate students respectively in EAPS and Math.

November 2016

Welcome to Niels Grobbe and Pawan Bharadwaj, new postdocs in ERL; and Julien Clancy, new graduate student in Math.

2015

Announcing PySIT: Python Seismic Imaging Toolbox v0.5. Check pysit.org.

Updated, April 2018

Current Job Posting - Postdoc positions. See the openings page for descriptions.