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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 Nicholas Ayache
1 EPIDAURE - Medical imaging and robotics
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : Cardiologists assume that analysis of the motion of the heart (especially the left ventricle) can give precise information about the health of the myocardium. 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 set of synthetic but realistic datapoints, simulating the motion of the LV and on a gated SPECT sequence.
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Submitted on : Wednesday, May 24, 2006 - 1:25:22 PM
Last modification on : Friday, February 4, 2022 - 3:16:35 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:53:45 PM


  • HAL Id : inria-00073654, version 1



Jérôme Declerck, Jacques Feldmar, Nicholas Ayache. Definition of a 4D Continuous Polar Transformation for the Tracking and the Analysis of LV Motion. RR-3039, INRIA. 1996. ⟨inria-00073654⟩



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