108 research outputs found
Optimal intrinsic descriptors for non-rigid shape analysis
We propose novel point descriptors for 3D shapes with the potential to match two shapes representing the same object undergoing natural deformations. These deformations are more general than the often assumed isometries, and we use labeled training data to learn optimal descriptors for such cases. Furthermore, instead of explicitly defining the descriptor, we introduce new Mercer kernels, for which we formally show that their corresponding feature space mapping is a generalization of either the Heat Kernel Signature or the Wave Kernel Signature. I.e. the proposed descriptors are guaranteed to be at least as precise as any Heat Kernel Signature or Wave Kernel Signature of any parameterisation. In experiments, we show that our implicitly defined, infinite-dimensional descriptors can better deal with non-isometric deformations than state-of-the-art methods
Graph Spectral Characterization of Brain Cortical Morphology
The human brain cortical layer has a convoluted morphology that is unique to
each individual. Characterization of the cortical morphology is necessary in
longitudinal studies of structural brain change, as well as in discriminating
individuals in health and disease. A method for encoding the cortical
morphology in the form of a graph is presented. The design of graphs that
encode the global cerebral hemisphere cortices as well as localized cortical
regions is proposed. Spectral metrics derived from these graphs are then
studied and proposed as descriptors of cortical morphology. As proof-of-concept
of their applicability in characterizing cortical morphology, the metrics are
studied in the context of hemispheric asymmetry as well as gender dependent
discrimination of cortical morphology.Comment: arXiv admin note: substantial text overlap with arXiv:1810.1033
BrainPrint: Identifying Subjects by Their Brain
Introducing BrainPrint, a compact and discriminative representation of anatomical structures in the brain. BrainPrint captures shape information of an ensemble of cortical and subcortical structures by solving the 2D and 3D Laplace-Beltrami operator on triangular (boundary) and tetrahedral (volumetric) meshes. We derive a robust classifier for this representation that identifies the subject in a new scan, based on a database of brain scans. In an example dataset containing over 3000 MRI scans, we show that BrainPrint captures unique information about the subject’s anatomy and permits to correctly classify a scan with an accuracy of over 99.8%. All processing steps for obtaining the compact representation are fully automated making this processing framework particularly attractive for handling large datasets.Alexander von Humboldt-StiftungAthinoula A. Martinos Center for Biomedical Imaging (P41-RR014075)Athinoula A. Martinos Center for Biomedical Imaging (P41-EB015896)National Alliance for Medical Image Computing (U.S.) (U54-EB005149)Neuroimaging Analysis Center (U.S.) (P41-EB015902
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