Geometry in Biology / Heart wall myofibers are arranged in minimal surfaces to optimize organ function /
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Computer Graphics / Generalized helicoids for hair modeling /
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Medical Image Analysis / Diffusion MRI: Curve Inference and Streamline Flows /
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Medical Image Analysis / 3D Stochastic Completion Fields for Brain Connectivity Mapping /
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Computer Graphics / Generalized helicoids for hair modeling
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Computational Vision / Blur Modeling by Reverse Projection /
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Computational Vision / Medial Surfaces of Polyhedra
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The shape of an object lies at the interface between vision and
cognition, yet general purpose theories of shape for applications in
bio-medicine, robotics and industry have been notoriously difficult to
formulate. Drawing on techniques from singularity theory, partial
differential equations, geometric flows and graph theory, our group is broadly
concerned with the problem of shape analysis in computational
vision and medical imaging. A key theme is the development of "generic" models, which
support a notion of similarity between qualitatively similar
shapes.