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Motion correction in 3D PET/CT
using optical flow methods
M Dawood, F Büther, N Lang, X Jiang, M Schäfers, O Schober, KP Schäfers
Nuclear Medicine, University Hospital Münster, Germany
Motion correction with optical flow algorithms
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
Motion correction with optical flow algorithms
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
Motion correction with optical flow algorithms
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∫ ∇+∇∇= α
Motion correction with optical flow algorithms
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
ββψ
αψψ
+=
+= ∫
Motion correction with optical flow algorithms
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
Motion correction with optical flow algorithms
M. Dawood et al. Motion correction in 3d pet/ct with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Results 1 (Phantom)
Motion correction with optical flow algorithms
M. Dawood et al. Motion correction in 3d pet/ct with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Results 2 (13N-NH3)
Motion correction with optical flow algorithms
M. Dawood et al. Motion correction in 3d pet/ct with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Motion correction with optical flow algorithms
M. Dawood et al. Motion correction in 3d pet/ct with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Results 2 (13N-NH3)
Motion correction with optical flow algorithms
M. Dawood et al. Motion correction in 3d pet/ct with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Results 3 (18F-FDG)
Motion correction with optical flow algorithms
M. Dawood et al. Motion correction in 3d pet/ct with advanced optical flow algorithms. Submitted to ieee transactions on medical imaging.
Results 3 (18F-FDG)