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Everything about Diffeomorphometry
Metric study of shape and form in computational anatomy
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 which generate orbits of the form, in which images can be dense scalar magnetic resonance or computed axial tomography images. For deformable shapes these are the collection of manifolds, points, curves and surfaces. The diffeomorphisms move the images and shapes through the orbit according to which are defined as the group actions of computational anatomy. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: DiffeomorphometryA 5-minute orientation
- Read the landmark paper: The diffeomorphometry of temporal lobe structures in preclinical Alzheimer's diseaseCited 78 times
- Go sideways: Riemannian metric and Lie bracket in computational anatomyA closely related topic
- Go sideways: Computational anatomyA closely related topic
📖 Definitions
Noun The morphometry of diffeomorphisms
🏆 Landmark papers (most cited)
The diffeomorphometry of temporal lobe structures in preclinical Alzheimer's disease
Amygdalar atrophy in symptomatic Alzheimer's disease based on diffeomorphometry: the BIOCARD cohort
The diffeomorphometry of regional shape change rates and its relevance to cognitive deterioration in mild cognitive impairment and Alzheimer's disease
Diffeomorphometry and geodesic positioning systems for human anatomy
Baseline Shape Diffeomorphometry Patterns of Subcortical and Ventricular Structures in Predicting Conversion of Mild Cognitive Impairment to Alzheimer's Disease
Network Neurodegeneration in Alzheimer’s Disease via MRI Based Shape Diffeomorphometry and High-Field Atlasing
Entorhinal and transentorhinal atrophy in mild cognitive impairment using longitudinal diffeomorphometry
Computational anatomy and diffeomorphometry: A dynamical systems model of neuroanatomy in the soft condensed matter continuum
📚 Books worth reading
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🔗 Related topics
- Riemannian metric and Lie bracket in computational anatomy Computational anatomy (CA) is the study of shape and form in medical imaging. The study of deformable shapes in CA rely on high-dimensional diffeomorphism…
- Computational anatomy Computational anatomy is an interdisciplinary field of biology focused on quantitative investigation and modelling of anatomical shapes variability. It…
- Group actions in computational anatomy Group actions are central to Riemannian geometry and defining orbits (control theory). The orbits of computational anatomy consist of anatomical shapes…
- Bayesian model of computational anatomy Computational anatomy (CA) is a discipline within medical imaging focusing on the study of anatomical shape and form at the visible or gross anatomical…
- Large deformation diffeomorphic metric mapping Large deformation diffeomorphic metric mapping (LDDMM) is a specific suite of algorithms used for diffeomorphic mapping and manipulating dense imagery…
- Statistical shape analysis Statistical shape analysis is an analysis of the geometrical properties of some given set of shapes by statistical methods. For instance, it could be used…
- Bayesian estimation of templates in computational anatomy Statistical shape analysis and statistical shape theory in computational anatomy (CA) is performed relative to templates, therefore it is a local theory…
- Spatial normalization In neuroimaging, spatial normalization is an image processing step, more specifically an image registration method. Human brains differ in size and shape…