Giovanni Alberti - Compressed sensing photoacoustic tomography

Описание к видео Giovanni Alberti - Compressed sensing photoacoustic tomography

This talk was part of the of the online workshop on "Tomographic Reconstructions and their Startling Applications" held March 15 - 25, 2021.

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.

Комментарии

Информация по комментариям в разработке