Computed Tomography. Tomos = slice. CT scan. Mathematical idea developed by Radon in 1917 Cormack did the instrumentation research 1963 published it A practical x-ray CT scanner was built by Hounsfield. When was the first computer introduced in laboratories?. The main idea.
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Computed Tomography
Tomos = slice
When was the first computer introduced in laboratories?
Reconstruct the image of a non uniform sample using
its x-ray projection at different angles
The main idea
Reconstruct the image of a non uniform sample using
its x-ray projection at different angles
The main idea
Reconstruct the image of a non uniform sample using
its x-ray projection at different angles
The main idea
Reconstruct the image of a non uniform sample using
its x-ray projection at different angles
The main idea
Reconstruct the image of a non uniform sample using
its x-ray projection at different angles
The main idea
Reconstruct the image of a non uniform sample using
its x-ray projection at different angles
Radon transform
Inverse back-projection is used to reconstruct the original image from the projected image
CT
Image Reconstruction
detectors
= 0o
The main idea
detectors
= 20o
The main idea
detectors
= 90o
Reconstruct the image of a non uniform sample using
its x-ray projection at different angles
Projection angle
Detectors position
A
B
D1= A+B=7
C
D
D2=C+D=7
=0o
A
B
C
D
= 90o
D3= A+C=6
D4= B+D=8
A
B
7
C
D
7
9
5
6
8
Back-projection
A+B=7
A+C=6
A+D=5
B+C=9
B+D=8
C+D=7
2
5
4
3
The projection of a function is the radon transform of that function
2D FT of an image at angle
f