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. Author manuscript; available in PMC: 2013 Jun 15.
Published in final edited form as: IEEE Trans Med Imaging. 2011 Sep 19;31(2):326–340. doi: 10.1109/TMI.2011.2168825

Fig. 4.

Fig. 4

Illustration of the discretized process of integrating velocity fields to compute the displacement field using one sample point. xn is a sample point, and u(xn) is its 3D displacement vector to be reconstructed. qn is the projection of u(xn) on en. u(xn) is reconstructed by integrating estimated velocity over discrete steps. (A detailed description is included in the body of the paper.)