I'd appreciate some references/literature on the applications of manifold-valued random variables, i.e., random variables $X:\Omega\to M$, where M is a manifold (could be even infinite dimensional), and $\Omega$ is the sample space. I'm looking for refernces that more particularly deal with medical imaging applications. Introductory or beginners' level literature will be more appropriate for me.
To be precise, I'm looking to see how one can collect the raw data from medical imaging, assume some appropriate probability models, and then fit them into a suitable manifold framework. I'm interested to see what kind of manifold will naturally arise in these contexts.
I've advanced mathematics and basic statistics backgrounds, just in case this helps to answer.