Árpád Kurusa
mathematician, associate professor
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Department of Geometry Bolyai Institute Faculty of Science University of Szeged |
I collected some videos that (mathematical) tomography is related to in the broadest context.
The language of most of these videos is hungarian.
The mathematics of tomography appeared before tomography, which was mathematically based on the results of the research conducted by Funk and Radon at the beginning of the 20th century. Beyond the mathematical and astronomical applications of these results, the mathematical problems raised by Funk and Radon became especially important when Cormack, who were later recognized by Nobel Prize for this, recognized the possibility of tomography in the 1960s and established the first tomograph. Tomography related problems then pervaded integral geometry, an already well established part of mathematics, so much that new, specific mathematical areas appeared. The new methods developed in geometric and analytic tomography have significant new applications within mathematics, but it turned out, that they have a bunch of applications on quite distinct areas of real life, such as medical imaging devices (CAT, MRI, ultrasonic testing, isotopic analysis), radiation, geology, astronomy, or even the search for minerals.
The discussion presents some of these "everyday" applications so that the mathematics behind them is only remotely mentioned, but pointing out their common mathematical perception.