Abstract
In this paper, we are concentrating on the problem of nonrigid
matching of two surfaces described by points. We deform the first
surface by attaching to each point a local affine transformation. We
ensure that the variation of these affine transformations along the
surface is smooth, that the curvature of the deformed surface tends to
be preserved and that the corresponding points on the two surfaces tend
to be brought nearer. We call this deformation a locally affine
deformation. Our framework does not require either a prior
parametrization or the knowledge of the topology of the surfaces. It is
illustrated with experiments on real biomedical surfaces: faces, brains
and hearts
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