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The computation of an optic flow field to reconstruct a dense velocity field from a sequence of tagged MR images faces a major difficulty: a non-constant pixel intensity. In this paper, we resolved this problem by regarding the MRI sequence as density images, which adhere to a principle of conservation of intensity. Based on this principle, optic flow equations are developed based on Gaussian derivatives as differential operators. The multiscale optic flow method is applied to cardiac tagged MRI. A quantitative analysis is presented comparing the reconstructed dense velocity field with a directly acquired velocity field using the velocity-encoded (VEC) MRI.

Optic Flow Computation from Cardiac MR Tagging Using a Multiscale Differential Method