Aesthetics & Values
The Aesthetics & Values seminar of the FIU Honors College examines the vital role visual art plays in the social and cultural dialogue surrounding...5/9
Sketching in the Galleries
Put down that iPad and pick up a sketchpad! Come to The Wolfsonian to reconnect with good ‘ol paper and pencil during our monthly sketching program. Drawing...5/25 5:00pm
RED in Black+White: Aelita, Queen of Mars
Take a rocket trip to Mars and bask in the weird and wild visuals of this 1924 silent sci-fi film by director Yakov Protazanov, the first in our series of...5/26 5:00pm
Super-resolution: theory and algorithms with Weilin Li
This is a past event.
Thursday, October 12, 2023 at 3:45pm to 4:45pmVirtual Event
Speaker: Weilin Li from CUNY
Title. Super-resolution: theory and algorithms.
Abstract. The Rayleigh length in optics refers to the minimum distance between two particles that can be resolved by an imaging system. Although this is a widely used principle, there is experiment evidence that in certain situations, there are no fundamental resolution limits. Motivated by such discoveries, we examine this phenomenon from a mathematical viewpoint. Super-resolution asks whether it is possible to stably recover point sources, possibly closer than the Rayleigh length, from noisy Fourier measurements. We study the fundamental limits of super-resolution from an information theoretic viewpoint and the stability of subspace methods such as ESPRIT. We derive novel multiscale lower bounds for the minimum singular value of Fourier/Vandermonde matrices and a perturbation bound for subspace algorithms that depends on the local geometry of the point sources. These results indicate that it is possible to bypass the resolution limit in an almost optimal way.
Meeting ID: 789 978 2410