Deformations incorporating rigid structures
Computer Vision and Image Understanding
Generation of point-based 3D statistical shape models for anatomical objects
Computer Vision and Image Understanding - Special issue on analysis of volumetric image
Intrinsic Statistics on Riemannian Manifolds: Basic Tools for Geometric Measurements
Journal of Mathematical Imaging and Vision
Prediction of anterior scoliotic spinal curve from trunk surface using support vector regression
Engineering Applications of Artificial Intelligence
Spine Segmentation Using Articulated Shape Models
MICCAI '08 Proceedings of the 11th international conference on Medical Image Computing and Computer-Assisted Intervention - Part I
MICCAI'11 Proceedings of the 14th international conference on Medical image computing and computer-assisted intervention - Volume Part III
Articulated model registration of MRI/X-Ray spine data
ICIAR'10 Proceedings of the 7th international conference on Image Analysis and Recognition - Volume Part II
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We present a method to extract principal deformation modes from a set of articulated models describing the human spine. The spine was expressed as a set of rigid transforms that superpose local coordinates systems of neighbouring vertebrae. To take into account the fact that rigid transforms belong to a Riemannian manifold, the Fréchet mean and a generalized covariance computed in the exponential chart of the Fréchet mean were used to construct a statistical shape model. The principal deformation modes were then extracted by performing a principal component analysis (PCA) on the generalized covariance matrix. Principal deformations modes were computed for a large database of untreated scoliotic patients and the obtained results indicate that combining rotation and translation into a unified framework leads to an effective and meaningful method of dimensionality reduction for articulated anatomical structures. The computed deformation modes also revealed clinically relevant information. For instance, the first mode of deformation appeared to be associated with patients' growth, the second is a double thoraco-lumbar curve and the third is a thoracic curve