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math.AT2024
Digital Euler Characteristic Transform
Henry Kirveslahti, Xiaohan Wang
The Euler Characteristic Transform (ECT) of Turner et al. provides a way to statistically analyze non-diffeomorphic shapes without relying on landmarks. In applications, this trans…
math.AT2021
Representing Fields without Correspondences: the Lifted Euler Characteristic Transform
Henry Kirveslahti, Sayan Mukherjee
Topological transforms have been very useful in statistical analysis of shapes or surfaces without restrictions that the shapes are diffeomorphic and requiring the estimation of co…