The Mathematics of Medical X-Ray Imaging (UMAP)

Determining the internal structure of an object without having to cut it, or viewing a section of a body without interference from other regions, have long been goals of radiologists and engineers. These goals have been achieved through computed tomography (CT) and other technologies that are used in every hospital. This module on CT should help readers appreciate this technology and the underlying mathematics.

Table of Contents:

ABOUT THIS MODULE

THE BIG IDEA (RECONSTRUCTION)

BASICS OF X-RAY

BASIC CONCEPTS

THE FOURIER TRANSFORM

PROJECTIONS

MORE ON PROJECTIONS

RECONSTRUCTION
An Old Idea (Back Projection)

A GLIMPSE OF COMPUTED TOMOGRAPHY

FILTERED BACK PROJECTION

MATLAB PROJECT

SOLUTIONS TO THE EXERCISES

REFERENCES

ABOUT THE AUTHOR