16 Facts About Computational anatomy

Computational anatomy is an interdisciplinary field of biology focused on quantitative investigation and modelling of anatomical shapes variability.

The flows between coordinates in computational anatomy are constrained to be geodesic flows satisfying the principle of least action for the Kinetic energy of the flow.

The metric structures in computational anatomy are related in spirit to morphometrics, with the distinction that Computational anatomy focuses on an infinite-dimensional space of coordinate systems transformed by a diffeomorphism, hence the central use of the terminology diffeomorphometry, the metric space study of coordinate systems via diffeomorphisms.

Computational anatomy departs from computer vision with its focus on rigid motions, as the infinite-dimensional diffeomorphism group is central to the analysis of Biological shapes.

Computational anatomy is the study of shape and form at the morphome or gross anatomy millimeter, or morphology scale, focusing on the study of sub-manifolds of points, curves surfaces and subvolumes of human anatomy.

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Applications within medical imaging of computational anatomy continued to flourish after two organized meetings at the Institute for Pure and Applied Mathematics conferences at University of California, Los Angeles.

Computational anatomy has been useful in creating accurate models of the atrophy of the human brain at the morphome scale, as well as Cardiac templates, as well as in modeling biological systems.

Since the late 1990s, computational anatomy has become an important part of developing emerging technologies for the field of medical imaging.

Model of human Computational anatomy is a deformable template, an orbit of exemplars under group action.

Orbit model of computational anatomy is an abstract algebra - to be compared to linear algebra - since the groups act nonlinearly on the shapes.

The high-dimensional differeomorphism groups used in Computational Anatomy are generated via smooth flows which satisfy the Lagrangian and Eulerian specification of the flow fields as first introduced in.

The Euler-Lagrange equation in computational anatomy describes the geodesic shortest path flows between coordinate systems of the diffeomorphism metric.

Computational anatomy is the study of the motions of submanifolds, points, curves, surfaces and volumes.

Random orbit model of computational anatomy first appeared in modelling the change in coordinates associated to the randomness of the group acting on the templates, which induces the randomness on the source of images in the anatomical orbit of shapes and forms and resulting observations through the medical imaging devices.

Shape in computational anatomy is a local theory, indexing shapes and structures to templates to which they are bijectively mapped.

Statistical shape in computational anatomy is the empirical study of diffeomorphic correspondences between populations and common template coordinate systems.