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.
Type de document :
RR-3039, INRIA. 1996
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Contributeur : Rapport de Recherche Inria <>
Soumis le : mercredi 24 mai 2006 - 13:25:22
Dernière modification le : samedi 27 janvier 2018 - 01:31:30
Document(s) archivé(s) le : dimanche 4 avril 2010 - 23:53:45



  • 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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