Diffeomorphometry
Diffeomorphometry is the metric study of imagery, shape and form in the discipline of computational anatomy (CA) in medical imaging. The study of images in computational anatomy rely on high-dimensional diffeomorphism groups φ ∈ Diff V {\displaystyle \varphi \in \operatorname {Diff} _{V}} which generate orbits of the form I ≐ { φ ⋅ I ∣ φ ∈ Diff V } {\displaystyle {\mathcal {I}}\doteq \{\varphi \cdot I\mid \varphi \in \operatorname {Diff} _{V}\}} , in which images I ∈ I {\displaystyle I\in {\mathcal {I}}} can be dense scalar magnetic resonance or computed axial tomography images.