# On the Statistical Analysis of Complex Tree-shaped 3D Objects

@article{Wang2021OnTS, title={On the Statistical Analysis of Complex Tree-shaped 3D Objects}, author={Guan Wang and Hamid Laga and Anuj Srivastava}, journal={ArXiv}, year={2021}, volume={abs/2110.08693} }

How can one analyze detailed 3D biological objects, such as neurons and botanical trees, that exhibit complex geometrical and topological variation? In this paper, we develop a novel mathematical framework for representing, comparing, and computing geodesic deformations between the shapes of such tree-like 3D objects. A hierarchical organization of subtrees characterizes these objects – each subtree has the main branch with some side branches attached – and one needs to match these structures…

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