CSc 83050


 Reconstruction from Projections
Thursdays 2:00 -4:00 p.m.
- 3 credits - Professor Gabor T. Herman


The problem of image reconstruction from projections has arisen independently in a large number of scientific fields. An important version of the problem in medicine is that of obtaining the density distribution within the human body from multiple x-ray projections. This process is referred to as computerized tomography (CT); it has revolutionized diagnostic radiology over the last 30 years. The 1979 Nobel prize in medicine was awarded for work on CT.

This course is devoted to the fundamentals of this field. Its subject matter is the computational and mathematical procedures underlying the data collection, image reconstruction, and image display in the practice of CT. It is aimed at the practitioner: points of implementation are carefully discussed and illustrated. The major emphasis is on reconstruction algorithms; these are studied in depth.


1. Applications of Image Reconstruction from Projections
2. Overview of the Process of CT
3. Physical Problems Associated with Data Collection in CT
4. Software for the Development and Testing of CT Algorithms
5. Data Collection and Reconstruction of a Head Phantom
6. Basic Concepts of Reconstruction Algorithms
7. Backprojection
8. Filtered Backprojection Method for Parallel Beams
9. Other Transform Methods for Parallel Beams
10. Filtered Backprojection Method for Divergent Beams
11. ART and Other Row-Action Algorithms
12. Simultaneous Iterative Algorithms
13. Fully Three-Dimensional Reconstruction
14. Three-Dimensional Display of Organs