. Author manuscript; available in PMC: 2013 Jun 14.

Published in final edited form as: Med Image Anal. 2011 Apr 27;16(1):28–37. doi: 10.1016/j.media.2011.04.004

Algorithm 1.

Distortion correction method. S₀: T₂-weighted image; S_i: Diffusion-weighted image with gradient i; $A_{i}^{z}$ : affine slice by slice transformation between S_i and S̄⁽^k⁾. The circle symbol (○) represents a function composition. The function resample (S_i, $A_{r i}^{z}$ ) performs a RBF interpolation of $A_{r i}^{z} (S_{i})$ since data are scattered and standard interpolation algorithms cannot be applied.

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