Johann Radon - Achievements

Achievements

Radon is known for a number of lasting contributions, including:

• his part in the Radon–Nikodym theorem;
• the Radon measure concept of measure as linear functional;
• the Radon transform, in integral geometry, based on integration over hyperplanes — with application to tomography for scanners (see tomographic reconstruction);
• Radon's theorem, that d + 2 points in d dimensions may always be partitioned into two subsets with intersecting convex hulls
• the Radon–Hurwitz numbers.
• He is possibly the first to make use of the so called Radon–Riesz property.