Diffeomorphometry
Diffeomorphometry
Diffeomorphometry (pronunciation: dif·feo·mor·pho·me·try) is a branch of mathematics and medical imaging that involves the quantitative analysis of shape transformations in anatomic structures. It is a key tool in the field of neuroimaging and is used to study the morphological changes in the brain associated with various diseases and conditions.
Etymology
The term "diffeomorphometry" is derived from the mathematical term "diffeomorphism", which refers to a type of transformation that is smooth and invertible, and the Greek word "metron", meaning measure. Thus, diffeomorphometry can be understood as the measurement of diffeomorphic transformations.
Related Terms
- Diffeomorphism: In mathematics, a diffeomorphism is an isomorphism in the category of smooth manifolds. It is an invertible function that maps one differentiable manifold to another.
- Neuroimaging: Neuroimaging includes the use of various techniques to either directly or indirectly image the structure, function, or pharmacology of the nervous system.
- Morphometry: Morphometry is the quantitative measurement of the form, especially the external form, of organisms.
- Biostatistics: Biostatistics is the application of statistics to a wide range of topics in biology. It encompasses the design of biological experiments, especially in medicine, pharmacy, agriculture, and fishery.
- Computational Anatomy: Computational anatomy is a discipline within biomedical engineering that involves the development and application of computational methods for the analysis of anatomical shape and form.
See Also
External links
- Medical encyclopedia article on Diffeomorphometry
- Wikipedia's article - Diffeomorphometry
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