transforming static ct in gated pet/ct studies to multiple respiratory phases m dawood, f büther, n...
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![Page 1: Transforming Static CT in Gated PET/CT Studies to Multiple Respiratory Phases M Dawood, F Büther, N Lang, X Jiang, KP Schäfers Department of Nuclear Medicine,](https://reader036.vdocuments.mx/reader036/viewer/2022062714/56649d4a5503460f94a2705f/html5/thumbnails/1.jpg)
Transforming Static CT in Gated PET/CT Studies
to
Multiple Respiratory Phases
M Dawood, F Büther, N Lang, X Jiang, KP Schäfers
Department of Nuclear Medicine, University Hospital Münster, Germany
![Page 2: Transforming Static CT in Gated PET/CT Studies to Multiple Respiratory Phases M Dawood, F Büther, N Lang, X Jiang, KP Schäfers Department of Nuclear Medicine,](https://reader036.vdocuments.mx/reader036/viewer/2022062714/56649d4a5503460f94a2705f/html5/thumbnails/2.jpg)
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Transforming static CT to multiple phases
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
PET/CTPositron Emission Tomography / Computed Tomography
![Page 3: Transforming Static CT in Gated PET/CT Studies to Multiple Respiratory Phases M Dawood, F Büther, N Lang, X Jiang, KP Schäfers Department of Nuclear Medicine,](https://reader036.vdocuments.mx/reader036/viewer/2022062714/56649d4a5503460f94a2705f/html5/thumbnails/3.jpg)
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Transforming static CT to multiple phases
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
PETPositron Emission Tomography
β+-decay of 18F:
18F → 18O + e+ + νe
Pair annihilation: e+ + e- → 2 γ
![Page 4: Transforming Static CT in Gated PET/CT Studies to Multiple Respiratory Phases M Dawood, F Büther, N Lang, X Jiang, KP Schäfers Department of Nuclear Medicine,](https://reader036.vdocuments.mx/reader036/viewer/2022062714/56649d4a5503460f94a2705f/html5/thumbnails/4.jpg)
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Transforming static CT to multiple phases
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
LOR
φ
s
Detector 2
Detector 1
s
φ
LOR
Sinogram
![Page 5: Transforming Static CT in Gated PET/CT Studies to Multiple Respiratory Phases M Dawood, F Büther, N Lang, X Jiang, KP Schäfers Department of Nuclear Medicine,](https://reader036.vdocuments.mx/reader036/viewer/2022062714/56649d4a5503460f94a2705f/html5/thumbnails/5.jpg)
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Transforming static CT to multiple phases
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Reconstruction
![Page 6: Transforming Static CT in Gated PET/CT Studies to Multiple Respiratory Phases M Dawood, F Büther, N Lang, X Jiang, KP Schäfers Department of Nuclear Medicine,](https://reader036.vdocuments.mx/reader036/viewer/2022062714/56649d4a5503460f94a2705f/html5/thumbnails/6.jpg)
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Transforming static CT to multiple phases
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Attenuation
![Page 7: Transforming Static CT in Gated PET/CT Studies to Multiple Respiratory Phases M Dawood, F Büther, N Lang, X Jiang, KP Schäfers Department of Nuclear Medicine,](https://reader036.vdocuments.mx/reader036/viewer/2022062714/56649d4a5503460f94a2705f/html5/thumbnails/7.jpg)
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Transforming static CT to multiple phases
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Problem
Spatial non-correspondance between PET and CT due to motion
![Page 8: Transforming Static CT in Gated PET/CT Studies to Multiple Respiratory Phases M Dawood, F Büther, N Lang, X Jiang, KP Schäfers Department of Nuclear Medicine,](https://reader036.vdocuments.mx/reader036/viewer/2022062714/56649d4a5503460f94a2705f/html5/thumbnails/8.jpg)
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Transforming static CT to multiple phases
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Solution
Divide the PET data into respiratory phases, and transform the static CT to corresponding phases
![Page 9: Transforming Static CT in Gated PET/CT Studies to Multiple Respiratory Phases M Dawood, F Büther, N Lang, X Jiang, KP Schäfers Department of Nuclear Medicine,](https://reader036.vdocuments.mx/reader036/viewer/2022062714/56649d4a5503460f94a2705f/html5/thumbnails/9.jpg)
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Transforming static CT to multiple phases
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Gating
…
![Page 10: Transforming Static CT in Gated PET/CT Studies to Multiple Respiratory Phases M Dawood, F Büther, N Lang, X Jiang, KP Schäfers Department of Nuclear Medicine,](https://reader036.vdocuments.mx/reader036/viewer/2022062714/56649d4a5503460f94a2705f/html5/thumbnails/10.jpg)
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Transforming static CT to multiple phases
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Gating: Acquiring the respiratory signal
![Page 11: Transforming Static CT in Gated PET/CT Studies to Multiple Respiratory Phases M Dawood, F Büther, N Lang, X Jiang, KP Schäfers Department of Nuclear Medicine,](https://reader036.vdocuments.mx/reader036/viewer/2022062714/56649d4a5503460f94a2705f/html5/thumbnails/11.jpg)
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Transforming static CT to multiple phases
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Optical Flow
A method to estimate deformation between image frames
Independent of the form and type of movement between the frames
Non-rigid and pixel-based
![Page 12: Transforming Static CT in Gated PET/CT Studies to Multiple Respiratory Phases M Dawood, F Büther, N Lang, X Jiang, KP Schäfers Department of Nuclear Medicine,](https://reader036.vdocuments.mx/reader036/viewer/2022062714/56649d4a5503460f94a2705f/html5/thumbnails/12.jpg)
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Transforming static CT to multiple phases
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Combined Local/Global
Minimize fLG
dxdydzdtVVIIVkf TTLG )(*
2
![Page 13: Transforming Static CT in Gated PET/CT Studies to Multiple Respiratory Phases M Dawood, F Büther, N Lang, X Jiang, KP Schäfers Department of Nuclear Medicine,](https://reader036.vdocuments.mx/reader036/viewer/2022062714/56649d4a5503460f94a2705f/html5/thumbnails/13.jpg)
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Transforming static CT to multiple phases
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Discontinuity Preserving Non-Quadratic
Non-Quadratic approach allows better approximation than least squares
Discontinuity preservation allows better estimation across organ boundaries
Minimize fD
2
222
21
12
i
ii
ss
dxdydzdtSmoothingDataf D
![Page 14: Transforming Static CT in Gated PET/CT Studies to Multiple Respiratory Phases M Dawood, F Büther, N Lang, X Jiang, KP Schäfers Department of Nuclear Medicine,](https://reader036.vdocuments.mx/reader036/viewer/2022062714/56649d4a5503460f94a2705f/html5/thumbnails/14.jpg)
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Transforming static CT to multiple phases
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Lukas/Kanade Horn/Schunck Bruhn
Non-Linear Discontinuity Preserving Result
Demonstration
![Page 15: Transforming Static CT in Gated PET/CT Studies to Multiple Respiratory Phases M Dawood, F Büther, N Lang, X Jiang, KP Schäfers Department of Nuclear Medicine,](https://reader036.vdocuments.mx/reader036/viewer/2022062714/56649d4a5503460f94a2705f/html5/thumbnails/15.jpg)
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Transforming static CT to multiple phases
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Results: Gated data
![Page 16: Transforming Static CT in Gated PET/CT Studies to Multiple Respiratory Phases M Dawood, F Büther, N Lang, X Jiang, KP Schäfers Department of Nuclear Medicine,](https://reader036.vdocuments.mx/reader036/viewer/2022062714/56649d4a5503460f94a2705f/html5/thumbnails/16.jpg)
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Transforming static CT to multiple phases
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Results: Attenuation Without Motion Correction
![Page 17: Transforming Static CT in Gated PET/CT Studies to Multiple Respiratory Phases M Dawood, F Büther, N Lang, X Jiang, KP Schäfers Department of Nuclear Medicine,](https://reader036.vdocuments.mx/reader036/viewer/2022062714/56649d4a5503460f94a2705f/html5/thumbnails/17.jpg)
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Transforming static CT to multiple phases
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Results: Transformed Attenuation Map
![Page 18: Transforming Static CT in Gated PET/CT Studies to Multiple Respiratory Phases M Dawood, F Büther, N Lang, X Jiang, KP Schäfers Department of Nuclear Medicine,](https://reader036.vdocuments.mx/reader036/viewer/2022062714/56649d4a5503460f94a2705f/html5/thumbnails/18.jpg)
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Transforming static CT to multiple phases
M. Dawood et al. Motion correction in 3d PET/CT with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Results: Attenuation With Transformed Map