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Small animal imaging with discrete tomography..
     Breakout session on Small Animal Imaging
     iMinds the conference 2012




Wim van Aarle .
     08 November 2012
Computed tomography
                                         CT




projection   projection data   reconstruction




                                                2
CT in biomedical research
                                                                        Osteoporosis
•   “Detecting early bone changes using in vivo micro-CT in ovariectomized,
    zoledronic acid-treated, and sham-operated rats”, E. Perilli, V. Le, B. Ma, P.
    Salmon, K. Reynolds, N.L. Fazzalari, Osteoporos. Int (2010) 21:1371-1382.

     - 20 female albino rats, divided in 3 groups
          • OVX: ovariectomized (induces loss of bone strength)
          • OVX+ZOL: treated with zolendronic acid
          • SHAM: sham-operation (testset)


     - Longitudinal study
          • Week 0, 2, 4, 8, 12

     - SkyScan 1076 µCT
          • FDK reconstructions of ROI


                                                                                       3
CT in biomedical research
                                        Osteoporosis




                                        bone parameter   value
 Week 0, OVX   Week 0, OVX+ZOL         BV/TV (%)          17.6
                                       Tb.Th* (µm)        74
                                       Tb.Sp* (µm)        255
                                       Tb.N (1/mm)        2.41
                                       SMI                1.9


                                        bone parameter   value
                                       BV/TV (%)          2.6
                                       Tb.Th* (µm)        77
                                       Tb.Sp* (µm)       1058

Week 12, OVX   Week 12, OVX+ZOL        Tb.N (1/mm)        0.35
                                       SMI                2.5




                                                           4
CT in biomedical research
  • A few important issues
                                                                                   Osteoporosis
        - Are the bone parameters correct?



     PVE,                       noise,                PVE,             threshold
beam hardening,             misalignment,        limited data,         selection
     etc.                      motion,                etc.
                                 etc.


        - X-rays are harmful!
                  • Rats are animals too
                  • Radiation might induce bone changes
                  • Is it possible to draw similar conclusions with less radiation?


  • Possible solution: Discrete tomography



                                                                                                  5
• Ill-posed reconstruction problem
        - Many unknown (pixels)                               Computed tomography
        - Few measurements (detectors)                            limited data problem




0°                  180° 0°                180° 0°               180° 0°                180°
     full angular data        low angle count   limited angular range      truncated data




                                                                                       6
Computed tomography
                                            limited data problem

                                     • Discrete Tomography
                                       Discrete
  phantom image        difference      Algebraic
                                       Reconstruction
                                       Technique
                                       => DART
                                     • Assumptions
                                        -   homogeneous objects
                                        -   prior knowledge: grey levels

reconstruction from   segmentation
5 projection images


                                                                   7
Discrete tomography
                 DART




iteration 1
error pixels: 9491




                        8
Discrete tomography
                  DART




iteration 1
error pixels: 9491
            iteration 10
            error pixels: 5460
                      iteration 50
                      error pixels: 233




                                 9
DART in biomedical research
                                                Osteoporosis

DART can be applied for in-vivo bone reconstructions
   - 3 homogeneous materials (air, tissue, bone)
   - Prior knowledge can be obtained from a hardware phantom




                                                               10
DART in biomedical research
Overlay of FDK reconstruction with                  Some results
   - FDK segmentation (underestimated)
   - DART reconstruction (slightly overestimated)




                                                                   11
Trabecular Thickness   DART in biomedical research
                              Some results




                                             12
Trabecular Separation   DART in biomedical research
                               Some results




                                              13
In conclusion

• Computed Tomography
  - is still a popular imaging modality in biomedical research

• Discrete Tomography
  - allows accurate reconstructions from limited projection data
  - combines segmentation and reconstruction

• Discrete Tomography in small animal imaging
  - conclusions can be drawn with less radiation



                                                                 14
The end
                                                        Thanks!




Special mention:
    dr. Egon Perilli, Flinders University, Australia
    dr. Elke Van de Casteele, University of Antwerp



                                                                  15

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iMinds The Conference: Wim van Aarle

  • 1. Small animal imaging with discrete tomography.. Breakout session on Small Animal Imaging iMinds the conference 2012 Wim van Aarle . 08 November 2012
  • 2. Computed tomography CT projection projection data reconstruction 2
  • 3. CT in biomedical research Osteoporosis • “Detecting early bone changes using in vivo micro-CT in ovariectomized, zoledronic acid-treated, and sham-operated rats”, E. Perilli, V. Le, B. Ma, P. Salmon, K. Reynolds, N.L. Fazzalari, Osteoporos. Int (2010) 21:1371-1382. - 20 female albino rats, divided in 3 groups • OVX: ovariectomized (induces loss of bone strength) • OVX+ZOL: treated with zolendronic acid • SHAM: sham-operation (testset) - Longitudinal study • Week 0, 2, 4, 8, 12 - SkyScan 1076 µCT • FDK reconstructions of ROI 3
  • 4. CT in biomedical research Osteoporosis bone parameter value Week 0, OVX Week 0, OVX+ZOL BV/TV (%) 17.6 Tb.Th* (µm) 74 Tb.Sp* (µm) 255 Tb.N (1/mm) 2.41 SMI 1.9 bone parameter value BV/TV (%) 2.6 Tb.Th* (µm) 77 Tb.Sp* (µm) 1058 Week 12, OVX Week 12, OVX+ZOL Tb.N (1/mm) 0.35 SMI 2.5 4
  • 5. CT in biomedical research • A few important issues Osteoporosis - Are the bone parameters correct? PVE, noise, PVE, threshold beam hardening, misalignment, limited data, selection etc. motion, etc. etc. - X-rays are harmful! • Rats are animals too • Radiation might induce bone changes • Is it possible to draw similar conclusions with less radiation? • Possible solution: Discrete tomography 5
  • 6. • Ill-posed reconstruction problem - Many unknown (pixels) Computed tomography - Few measurements (detectors) limited data problem 0° 180° 0° 180° 0° 180° 0° 180° full angular data low angle count limited angular range truncated data 6
  • 7. Computed tomography limited data problem • Discrete Tomography Discrete phantom image difference Algebraic Reconstruction Technique => DART • Assumptions - homogeneous objects - prior knowledge: grey levels reconstruction from segmentation 5 projection images 7
  • 8. Discrete tomography DART iteration 1 error pixels: 9491 8
  • 9. Discrete tomography DART iteration 1 error pixels: 9491 iteration 10 error pixels: 5460 iteration 50 error pixels: 233 9
  • 10. DART in biomedical research Osteoporosis DART can be applied for in-vivo bone reconstructions - 3 homogeneous materials (air, tissue, bone) - Prior knowledge can be obtained from a hardware phantom 10
  • 11. DART in biomedical research Overlay of FDK reconstruction with Some results - FDK segmentation (underestimated) - DART reconstruction (slightly overestimated) 11
  • 12. Trabecular Thickness DART in biomedical research Some results 12
  • 13. Trabecular Separation DART in biomedical research Some results 13
  • 14. In conclusion • Computed Tomography - is still a popular imaging modality in biomedical research • Discrete Tomography - allows accurate reconstructions from limited projection data - combines segmentation and reconstruction • Discrete Tomography in small animal imaging - conclusions can be drawn with less radiation 14
  • 15. The end Thanks! Special mention: dr. Egon Perilli, Flinders University, Australia dr. Elke Van de Casteele, University of Antwerp 15