| Product No.
99318 |
Supplementary Print |
Price:
FREE with membership |
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Tomography (UMAP)
Frederick Solomon
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Mathematics Topic:
Analysis |
Application Areas:
Applied analysis / Medical radiology |
Prerequisites:
Fourier Transforms; contour integration; Residue Theorem in the complex plane |
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| ©1988 by COMAP, Inc. | Tools for Teaching 1987 | 20 pages |
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This module will give students: 1) an aquaintance with a significant applied math problem utilizing Fourier Transforms; 2) a generalization of the Fourier Transforms to two dimensions; 3) practice with Fourier Transforms; and 4) an introduction to the Hankel Transform.
Table of Contents:
1. THE PROBLEM
2. NOTATION
3. BACK PROJECTION: AN APPROXIMATION
4. FOURIER TRANSFORM NOTATION
5. THE EXACT SOLUTION
6. THE BASIC THEOREM
7. CIRCULAR SYMMETRY
8. THE CIRCULARLY ASYMMETRIC CASE
9. HISTORICAL AND BIBLIOGRAPHICAL NOTE
10. ANSWERS AND SUGGESTIONS TO EXERCISES
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