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Detection of Anatomical Landmarks Bruno Jedynak Camille Izard Georgetown University Medical Center Friday October 6, 2006
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Anatomical Landmarks Manually defined points in the anatomy ( geometric landmarks) !! Landmarker consistency, variability between exerts Used as is to analyze shapes Used as control point for image segmentation/registration
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Landmarking the hippocampus from Brain MRI
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Manual landmarking of the Hippocampus
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Automatic landmarking Given: a set of manually landmarked images Goal: build a system that can landmark new images The system must adapt to different kind, different number of landmarks
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Automatic landmarking Example: Given: 38 images expertly landmarked. K landmarks per image Goal: landmark new images Mean error per new image Or expert evaluation
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Stochastic modeling Build a likelihood function: Learn: For each new image, compute:
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Landmarks are points Define
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Template matching paradigm Identify landmarks with a deformation of the 3d space. Examples of deformations: Affine Splines Diffeomorphisms
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Spline model Define Identify Such that
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Forward model Brain MRI gray-values are modeled as a mixture of Gaussians distributions. There are 6 components in the mixture: CSF,GM, WM, CSF-GM, GM-WM, VeryWhite (Skull, blood vessels, …)
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Forward Model
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Tissue Probability Map csf csf- gm gm gm- wm wmoutliers HoH00.040.900.0600
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Estimating the tissue probability map Learn the photometry of each image Register each image on the template Use the E.M. algo. for mixture of Gaussians to estimate
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Automatic landmarking of a new image Learn the photometry parameters Use gradient ascent to maximize
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Results
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Current work Estimating the std. dev. of the Kernels Add control points to generate more complex deformations (K=1) Test on schizophrenic and other brains
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