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Donald C. Solmon

Emeritus Professor
Department of Mathematics

Donald C. Solmon

Emeritus Professor
Department of Mathematics

Background

Education

Ph.D., Oregon State, 1974

Research

Research field

Image Reconstruction, Transform Theory, and Applied Analysis

Research description

With the advent of modern computers, mathematical techniques can be used to combine information from x-ray pictures of a three-dimensional object, taken from a large number of different directions, and to reconstruct the internal structure of the object. This leads to mathematical questions of practical importance concerning a class of integral transforms known as x-ray and Radon transforms. Solmon has established uniqueness, nonuniqueness, stability and range characterization results for these integral transforms.

Research group

Analysis