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The Geometry of the Space of Shapes

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Hosted by Prof. Andrew Blake (Microsoft Research)

Object recognition requires one to address similarity between shapes and this leads one to construct a “space of shapes”. As Riemann noted, this is an infinite dimensional non-linear space. Depending on how distances are measured, it can have many different guises. The mathematical picture is unfolding slowly but I think understanding it is important for vision and medical imaging algorithms.

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