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SPECT
Single Photon Emission Computed Tomography
              David S. Graff PhD
• Tomography
• Filtered Back Projection
• Iterative Reconstruction
• Quality Control
Tomography
 τομοσ: a cut or a slice
                      atom: cannot be cut
      anatomy: a cutting (of the patient)
A Gamma Camera measures the
total activity along a line of sight*




        *Ignoring   scatter, attenuation, noise, blurring
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
To get more information: measure
sums along rays at different angles
To get full information,
        measure at all angles




In order to see a sharp edge,
we must have rays parallel to the edge
A sinogram shows all
the angles in one slice

               0º
    Head Angle
     180º360º




            Position on detector
• Tomography requires lines of sight through
  180º

• Filtered Back Projection
• Iterative Reconstruction
• Quality Control
Collect
  projections
 (data) at wide
range of angles
Backproject from
all projections




Edges are
lost. Image
is fuzzy
Enhance edges
of projections
(filter)




Backproject
filtered
projections
Filter increases high spatial frequencies
     and decreases low frequencies
A ramp filter would increase noise too much
The filter is modified to reduce high frequencies
Filters combine blurring
and ramp to reduce noise


            a mp   Hann
           R




          lp/mm
Filtered Back Projection
Object
Projections
Filtered
Backprojected
• Tomography requires lines of sight through
  180º

• Filtered Back Projection enhances edges and
  backprojects to reconstruct images

• Iterative Reconstruction
• Quality Control
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
Collect
  projections
 (data) at wide
range of angles
Collect projections (data)
 at wide range of angles
Assume a simple smooth model of patient
Collect projections (data)
at wide range of angles

Assume a simple smooth
model of patient
Project
model of
 patient




 Include attenuation,
resolution, scatter in
      projection
Collect projections (data)
at wide range of angles
Assume a simple smooth
model of patient
Project model of patient
   (including physics)
Compare projections of
model with actual projections

Derive a correction for each
projection


                                ÷ =
Backproject
corrections
Collect projections (data)
at wide range of angles
Assume a simple smooth
model of patient
Project model of patient
   (including physics)
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
• proper reconstruction requires attenuation
  and scatter.

• How do we know how much attenuation?
SPECT-CT
• Create projections from model of patient
• Compare projections with data from patient
• Improve model
• 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
Bullseye artifact results
from poor homogeneity
• 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
rat heart

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SPECT