Manifolds of Projective Shapes
نویسندگان
چکیده
The projective shape of a configuration consists of the information that is invariant under projective transformations. It encodes the information about an object reconstructable from uncalibrated camera views. The space of projective shapes of k points in RP is by definition the quotient space of k copies of RP modulo the action of the projective linear group PGLpdq. A detailed examination of the topology of projective shape space is given, and it is shown how to derive subsets that are maximal Hausdorff manifolds. A special case are Tyler regular shapes for which one can construct a Riemannian metric.
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