Technical Program

Paper Detail

Paper:	SA-AM-OS2.4
Session:	Image Segmentation and Shape Analysis
Time:	Saturday, April 8, 10:30 - 10:50
Presentation:	Oral
Title:	3D Anatomical Variability Assessment of the Scoliotic Spine Using Statistics on Lie Groups
Authors:	Jonathan Boisvert; INRIA Sophia-Antipolis
	Xavier Pennec; INRIA Sophia-Antipolis
	Nicholas Ayache; INRIA Sophia-Antipolis
	Hubert Labelle; Sainte-Justine Hospital
	Farida Cheriet; Sainte-Justine Hospital
Abstract:	We present a method to analyse the variability of the spine shape using rigid transforms. The spine was expressed as a set of rigid transforms that superpose local coordinates systems of neighbouring vertebrae. Since rigid transforms do not belong to a vector space, conventional mean and covariance could not be applied. The Fréchet means and a generalized covariance computed in the exponential chart of the Fréchet mean were used instead. Those statistics were computed for each inter-vertebral transforms of a group of 307 untreated scoliotic patients. The variability was found to be inhomogeneous (lumbar vertebrae were more variable than for thoracic ones) and anisotropic (with maximal rotational variability in the coronal plane and maximal translational variability in the axial direction).

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