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Reconstruction of 3D deformation from 2D MR velocity data using incompressibility constraints

Jianxin Gao, Shareem Masood, B. Jung, Fani Deligianni, Guang-Zhong Yang

Conference or Workshop Paper
4th International IEEE EMBS Special Topic Conference on Information Technology Applications in Biomedicine
April, 2003

This paper presents a new method for calculating 3D myocardial deformation from multislice 2D magnetic resonance velocity mapping. The method first involves the rectification of in-plane velocity distribution with a variational vector restoration method. This restored 2D velocity is then used to estimate the through-plane velocity component by applying a local incompressibility constraint. A global optimization procedure was then used to derive the velocity distribution that conforms to the incompressibility constraint. The proposed method was validated by using a simulation phantom with different levels of noise. The derived velocity field permits a full 3D deformation analysis of the myocardium.

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