Iterative method of determining trajectory of a moving region in

Surgery – Truss – Pad

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324307, A61B 5055

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active

056808623

ABSTRACT:
Several algorithms are presented for determining the trajectory of a particle in motion given cine phase contrast (PC) velocity field data. The PC velocity field is usually measured in a fixed frame of reference (spatial coordinates) and must be transformed to the velocity in material coordinates, i.e., the velocity experienced by individual points in the medium. The material velocity field can then be integrated to yield the trajectory of a particular point. Therefore, to determine the trajectory of a particular point, the given spatial velocity field must be transformed to the material velocity field. While there exists a mathematical relationship that maps velocity fields in spatial coordinates to material coordinates, this mapping can be applied only if particle trajectories are known. Although there appears to be a dilemma here, through an optimization technique, we have devised an iterative procedure to determine the optimal trajectory in the sense to be defined.

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