Joint Segmentation and Groupwise Registration of Cardiac Perfusion Images Using Temporal Information

Algorithm 1

Joint segmentation and groupwise registration framework.

(1) Determine the initial labeling 𝐿_𝑓 of the image sequence.

(2) Set 𝑡=1 for first registration round.

(3) Initialize uniform B-spline grid for all images.

(4) Calculate the value of energy function using the data cost formulation ((9) and (10)) and the smoothness cost (7).

(5) Update the B-spline grid for the image, transform the image, and update the segmentation labels.

(6) Repeat the above steps for all images of the sequence.

(7) Repeat for all images until convergence.