KEYWORDS: Shape analysis, Detection and tracking algorithms, Control systems, 3D acquisition, 3D modeling, Brain, Spherical lenses, Magnetic resonance imaging, Molybdenum, Neuroimaging
Statistical shape analysis of brain structures has gained increasing interest from neuroimaging community because it
can precisely locate shape differences between healthy and pathological structures. The most difficult and crucial
problem is establishing shape correspondence among individual 3D shapes. This paper proposes a new algorithm for
3D shape correspondence. A set of landmarks are sampled on a template shape, and initial correspondence is
established between the template and the target shape based on the similarity of locations and normal directions. The
landmarks on the target are then refined by iterative thin plate spline. The algorithm is simple and fast, and no
spherical mapping is needed. We apply our method to the statistical shape analysis of the corpus callosum (CC) in
phenylketonuria (PKU), and significant local shape differences between the patients and the controls are found in the
most anterior and posterior aspects of the corpus callosum.
KEYWORDS: Shape analysis, 3D modeling, Control systems, Brain, Brain mapping, Image segmentation, Magnetic resonance imaging, Sensors, Data modeling, Visualization
A number of studies have documented that autism has a neurobiological basis, but the anatomical extent of these
neurobiological abnormalities is largely unknown. In this study, we aimed at analyzing highly localized shape
abnormalities of the corpus callosum in a homogeneous group of autism children. Thirty patients with essential autism
and twenty-four controls participated in this study. 2D contours of the corpus callosum were extracted from MR images
by a semiautomatic segmentation method, and the 3D model was constructed by stacking the contours. The resulting 3D
model had two openings at the ends, thus a new conformal parameterization for high genus surfaces was applied in our
shape analysis work, which mapped each surface onto a planar domain. Surface matching among different individual
meshes was achieved by re-triangulating each mesh according to a template surface. Statistical shape analysis was used
to compare the 3D shapes point by point between patients with autism and their controls. The results revealed significant
abnormalities in the anterior most and anterior body in essential autism group.
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