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Definition of a 4D continuous polar transformation for the tracking and the analysis of LV motion

Jérôme Declerck 1 Jacques Feldmar 1 Nicholas Ayache 1, *
* Corresponding author
1 EPIDAURE - Medical imaging and robotics
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : A 4D polar transformation is defined to describe the left ventricle (LV) motion and a method is presented to estimate it from sequences of 3D images. The transformation is defined in 3D-planispheric coordinates by a small number of parameters involved in a set of simple linear equations. It is continuous and regular in time and space, periodicity in time can be imposed. The local motion can be easily decomposed into a few canonical motions (centripetal contraction, rotation around the long-axis, elevation). To recover the motion from original data, the 4D polar transformation is calculated using an adaptation of the Iterative Closest Point algorithm. We present the mathematical framework and a demonstration of its feasability on a gated SPECT sequence.
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https://hal.inria.fr/inria-00615691
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Submitted on : Friday, August 19, 2011 - 6:06:44 PM
Last modification on : Saturday, January 27, 2018 - 1:30:59 AM

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Jérôme Declerck, Jacques Feldmar, Nicholas Ayache. Definition of a 4D continuous polar transformation for the tracking and the analysis of LV motion. First Joint Conference Computer Vision, Virtual Reality and Robotics in Medicine and Medical Robotics and Computer-Assisted Surgery - CVRMed-MRCAS' 97, Mar 1997, Grenoble, France. pp.33-42, ⟨10.1007/BFb0029222⟩. ⟨inria-00615691⟩

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