This lecture presents the construction of statistical representations from anatomical image databases. It describes the problem of matching homologous structures between images, then the problem of calculating mean and variance in geometric varieties that are not vector spaces. The lecture introduces the notion of geodesics and Fréchet expectation, as well as practical algorithms for constructing statistical atlases.
This lecture is complemented by the following two seminars:
- "Phenotype, function and genotype", Bertrand Thirion (Neurospin, Inria Saclay);
- Shape statistics and anatomical varieties", Xavier Pennec (Inria Sophia-Antipolis).
