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A 3D Model of the Global Deformation of a Non-Rigid Body

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Medical Images: Formation, Handling and Evaluation

Part of the book series: NATO ASI Series ((NATO ASI F,volume 98))

Abstract

We propose a three-dimensional (3D) deformation model for the quantification of the dynamical global deformation component of the human left ventricle (LV). Under the assumption that the LV behaves within each studied period of the cardiac cycle as an homogeneous non rigid body, its overall motion can be decomposed into :

  • a pure rigid displacement component described by a translation and a rotation

  • a pure deformation component associated with a dilatation operator.

When no temporal point to point correspondence is available, we show that the 3 motion components can be determined from the computed evolution of the LV center of gravity, and of the principal axes and moments of inertia.

The model is applied to a normal LV, from clinical data provided by Magnetic Resonance Imaging (MRI) acquisitions. Its adequacy is then quantified by comparing the predicted deformed LV shape to the actual one.

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© 1992 Springer-Verlag Berlin Heidelberg

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Friboulet, D., Magnin, I.E. (1992). A 3D Model of the Global Deformation of a Non-Rigid Body. In: Todd-Pokropek, A.E., Viergever, M.A. (eds) Medical Images: Formation, Handling and Evaluation. NATO ASI Series, vol 98. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77888-9_11

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  • DOI: https://doi.org/10.1007/978-3-642-77888-9_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-77890-2

  • Online ISBN: 978-3-642-77888-9

  • eBook Packages: Springer Book Archive

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