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
My new tomography video is out! Link to video in YouTube Mathematicians usually think that the starting point of tomography is a set of line integrals of an unknown function. Every pixel value in the Radon transform, or sinogram, is a value of a line integral along one X-ray. But in practice we measure intensities
The newest addition to my video lectures on tomography is an explanation how we can simulate X-ray data formation with or without matrices.
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.
I started a new video series in my all-English YouTube channel called “Professor Sam”. Today’s upload is Tomography 201: tomography by pixels, which introduces the need for iterative variational regularization in tomographic image reconstruction with sparsely collected data. This 200-series of videos is a continuation of the 100-series explaining the basics of tomography.
I just published a new video in my lecture series on X-ray tomography (link). There I show how to use Matlab to simulate basic tomographic things such as sinograms and filtered back-projection algorithms. I also give an introductory discussion of measurement noise and how to supress it with a low-pass filter. This is how it
I gave a talk in the “Math Encounters” series at the Museum of Mathematics in New York City in February 2023. My topic was X-ray tomography. Now the video recording of the presentation is available! Enjoy!
I co-organized a workshop in March 2023 at the Isaac Newton Institute in Cambridge: https://www.newton.ac.uk/event/rntw02/ It was so nice to see many colleagues after a long break! Instead of a regular scientific talk, I gave a presentation by title “Science Showmanship”. It contained some scientific stand-up comedy and stories about being a mathematical YouTuber. In
My entertaining, yet scientifically accurate video series continues. It’s my educational experiment with material that serves both science popularization and academic teaching. Enjoy!
I made a fun X-ray tomography video about pi. Enjoy! (And make sure to subscribe to my channel Professor Sam)
