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)

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.

Thank you!