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Biological Shape Analysis with Geometric Statistics and Learning
Snapshots of modern mathematics from Oberwolfach
Biological Shape Analysis with Geometric Statistics and Learning
The advances in biomedical imaging techniques have enabled us to access the 3D shapes of a variety of structures: organs, cells, proteins. Since biological shapes are related to physiological functions, shape data may hold the key to unlocking outstanding mysteries in biomedicine. This snapshot introduces the mathematical framework of geometric statistics and learning and its applications to biomedicine.
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Mathematical subjects
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/geometry-11.png?itok=7nie2HtL)
Geometry and Topology
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/probability-03.png?itok=3JwXiTOH)
Probability Theory and Statistics
Connections to other fields
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/computer-science-07.png?itok=pLuN6kUJ)
Computer Science
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/life-sciences-01.png?itok=3JrkXVc3)
Life Science
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DOI (Digital Object Identifier)
10.14760/SNAP-2022-008-EN
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snapshots: overview
Mathematical subjects
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/algebra-12.png?itok=WMnSOls0)
Algebra and Number Theory
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/analysis-06.png?itok=O4i7d5Wv)
Analysis
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/didactics-education-15.png?itok=zGEXvt-F)
Didactics and Education
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/discrete-mathematics-15.png?itok=-FzQkYYS)
Discrete Mathematics and Foundations
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/geometry-11.png?itok=7nie2HtL)
Geometry and Topology
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/scientific-computing-13.png?itok=ITl1i8bo)
Numerics and Scientific Computing
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/probability-03.png?itok=3JwXiTOH)
Probability Theory and Statistics
Connections to other fields
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/earth-science-08.png?itok=cZerm-ci)
Chemistry and Earth Science
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/computer-science-07.png?itok=pLuN6kUJ)
Computer Science
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/engineering-13.png?itok=tp5ri2dm)
Engineering and Technology
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Finance
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Humanities and Social Sciences
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Life Science
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Physics
![](https://www.imaginary.org/sites/default/files/styles/icon_320px/public/reflections-05.png?itok=9gMon4LN)
Reflections on Mathematics