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Product No. 99794 Supplementary Print Price: FREE with membership
 

The Mathematics of Medical X-Ray Imaging (UMAP)

Fawaz Hjouj


Mathematics Topic:
Analysis
Application Areas:
Medicine
Prerequisites:
The usual core courses in calculus/physics; experience in the use of Matlab or a similar program is a plus.

| ©2006 by COMAP, Inc. | UMAP/ILAP Modules 2006 | 44 pages |


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