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

September 2019

Welcome Philippe Ricoux (RS), Chenguang Zhang (postdoc), and Adrien Scheuer (postdoc) to the group!

May 2019

Congratulations to Charles-Henri Clerget, former postdoc in the group, whose team Acoustic Wells won the grand prize in the MIT $100K Entrepreneurship Competition.

September 2018

Welcome Zhilong Fang (postdoc) to the group!

September 2018

Welcome to Sarah Greer, graduate student in the new CSE-math graduate program. We are also proud that Sarah is one out of 25 recipients of a DOE CSGF graduate fellowship this year. Congrats!

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.