3. Tomography
τομοσ: a cut or a slice
atom: cannot be cut
anatomy: a cutting (of the patient)
4. A Gamma Camera measures the
total activity along a line of sight*
*Ignoring scatter, attenuation, noise, blurring
5. We want to know the activity at every point in space, but
we measure the sum total attenuation along the line of sight
All these systems will look the same
6. To get more information: measure
sums along rays at different angles
7. To get full information,
measure at all angles
In order to see a sharp edge,
we must have rays parallel to the edge
8.
9.
10. A sinogram shows all
the angles in one slice
0º
Head Angle
180º360º
Position on detector
11. • Tomography requires lines of sight through
180º
• Filtered Back Projection
• Iterative Reconstruction
• Quality Control
25. • Tomography requires lines of sight through
180º
• Filtered Back Projection enhances edges and
backprojects to reconstruct images
• Iterative Reconstruction
• Quality Control
26. Filtered Back Projection assumes
• No noise
• No attenuation
• Perfect resolution
• No scatter
These assumptions are much worse for SPECT than for CT
Iterative algorithms don’t make these assumptions
35. Collect projections (data)
at wide range of angles
Assume a simple smooth
model of patient
Project model of patient
(including physics)
36. Collect projections (data)
at wide range of angles
Assume a simple smooth
model of patient
Project model of patient
(including physics)
Compare model projections
to measured projections
Backproject correction to
update model
37. • proper reconstruction requires attenuation
and scatter.
• How do we know how much attenuation?
39. • Create projections from model of patient
• Compare projections with data from patient
• Improve model
40.
41. • Tomography requires lines of sight through
180º
• Filtered Back Projection enhances edges and
backprojects to reconstruct images
• Iterative Reconstruction accounts for noise,
attenuation, scatter, resolution. Compare
model of patient with data to improve
model.
• Quality Control
50. • Tomography requires lines of sight through
180º
• Filtered Back Projection enhances edges and
backprojects to reconstruct images
• Iterative Reconstruction accounts for noise,
attenuation, scatter, resolution. Compare
model of patient with data to improve
model.
• Quality Control to verify center of rotation,
uniformity, ability to pick up cold spheres
and rods