Compressed sensing photoacoustic tomography reduces to compressed sensing for undersampled Fourier measurements

Giovanni S. Alberti (U of Genoa)

Mar 17. 2021, 17:15 — 18:00

In this talk, I will describe how the theory of nonuniform Fourier frames may be applied to the reconstruction problem in photoacoustic tomography (PAT). PAT is a novel medical imaging modality coupling laser pulses with ultrasounds, allowing for measuring the high-contrast optical parameters of tissues by means of high-resolution ultrasonic measurements. Compressed sensing (CS) PAT has been largely studied over the last years, but without rigorous theoretical guarantees. In this talk, I will discuss how the theory of Riesz sequences of exponentials allows us to reduce the problem of CS PAT to classical CS for undersampled Fourier measurements. This is a joint work with Paolo Campodonico and Matteo Santacesaria.

Further Information
Venue:
Erwin Schrödinger Institute - virtual
Recordings:
Recording
Associated Event:
Tomographic Reconstructions and their Startling Applications (Online Workshop)
Organizer(s):
Wolfgang Drexler (Med U Vienna)
Peter Elbau (U Vienna)
Ronny Ramlau (RICAM, Linz)
Monika Ritsch-Marte (Med Uni Innsbruck)
Otmar Scherzer (U Vienna)
Gerhard Schütz (TU Vienna)