I spent October of 2024 at Colorado State University visiting Professor Jennifer Mueller. Our collaboration goes back already 27 years! We are writing another book together, and this trip gives a good boost to the book project. According to my calculations, this is my 15th visit at CSU. The first one was in year 2000
I had the honor to deliver the Arnold Lecture 2024 on October 3, at Gonzaga University in Spokane, WA, USA. The talk was aimed at a general audience, and my topic was The magic of math: three-dimensional X-ray vision. Here are my talk slides: PDF 140MB. I got excellent questions from the crowd, and this
I delivered a public talk on the mathematics of AI – in a Cleveland church turned into a lecture hall of Case Western Reserve University! A bit different vibe than in usual venues. 😂 And I guess I was kind of preaching to the choir… My title was How does AI detect cats in photos
During my September visit I delivered a scientific talk at the Computational Mathematics Seminar at the Flatiron Institute. My topic was Electrical impedance tomography and virtual X-rays, and you can download my slides here: PDF 53MB. Abstract: Electrical Impedance Tomography (EIT) is a nonlinear PDE-based imaging modality where a patient is probed with harmless electric
I gave a public talk about the math of artificial intelligence (AI) at MoMath on September 19, 2024. My goal was two-fold: first of all, to show that modern AI methods are based on elementary school mathematics such as addition and multiplication. Second, I wanted to give audience an idea about “convolution”, the key ingredient
My series of video lectures about X-ray tomography took the important step to explaining how to treat real measured data. I put two simple pieces of material into an X-ray device and show what happens when we try to calculate Radon transform-like line integrals from the pixel values. You can watch the video in YouTube
I had the pleasure to deliver a public talk at the National Museum of Mathematics on September 12, 2024. My topic was the mathematics of photography, which could be discussed from many points of view. Here I focused on changing the appearance of photos by altering their pixel values. Namely, in modern computers and smartphones
I had the honor to deliver a keynote address in the Science on Stage Festival in Turku, Finland, on August 15,2024. The title of the talk was The magic of math: three-dimensional X-ray vision. You can see the recording in YouTube. The lecture slides are available here in PDF format. Abstract: In the 1970’s, a
I delivered my X-ray tomography show at the Finnish Mathematical Society colloquium on April 17, 2024. The presentation was followed by Zoom all over Finland, and the lecture hall at University of Helsinki was pretty full, too. This was fun!
This video illustrates “ill-posedness”, the nemesis of all inverse problems. We see how in a very simple 12×12 pixel tomography problem “almost-ghosts” can produce very different targets with almost the same X-ray data.
