# Donald C. Solmon

Emeritus Professor

Department of Mathematics

# Donald C. Solmon

Emeritus Professor

Department of Mathematics

## 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

## Background

### Education

Ph.D., Oregon State, 1974