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Abstract #2485

Enforcing divergence free to velocity data from 4D flow MR images

Alejandro Matias Pino Verdugo 1,2 , Joaquin Mura 3 , and Sergio Uribe 2,4

1 Physics Department, Pontificia Universidad Catlica de Chile, Santiago, Santiago, Chile, 2 Biomedical Imaging Center, Pontificia Universidad Catlica de Chile, Santiago, Santiago, Chile, 3 Civil Engineering School, Pontificia Universidad Catlica de Valparaiso, Valparaiso, Chile, 4 Radiology Department School of Medicine, Pontificia Universidad Catlica de Chile, Santiago, Chile

4D flow imaging has shown great potential to study different cardiovascular diseases. However, the velocity data provided by 4D flow is highly prone to be affected by respiratory motion due to the long acquisition time, inhomogeneities due to large FOV, and partial volume effects due to low spatial resolutions, among others. Some of these terms can be corrected by applying a linear phase correction estimated from static tissues; however, a great amount of inaccuracies may still remain. Another way to correct the data is to assume that blood flow is incompressible and to enforce the velocity field to be divergence free. Lately, some methods have been proposed to enforce divergence free to the velocity field. In this work, we propose a novel method to enforce divergence free to the velocity data by calculating a velocity corrector for each pixel in the domain of interest.

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