Health AI Central
Peer-Reviewed Publication
ArXiv2026July 21, 2026Journal Article

Deep Shape Regression for Planar Curves with Multimodal Covariates.

Manuel Pfeuffer1, Roshan P Rane1,2,3, Hadya Yassin4, Kerstin Ritter2,3, Sonja Greven1
1Humboldt-Universität zu Berlin, Berlin, Germany.
2Hertie Institute for AI in Brain Health, Universität Tübingen, Tübingen, Germany.
3Universität Tübingen, Tübingen, Germany.
4Hasso Plattner Institut, Universität Potsdam, Potsdam, Germany.
PubMed PMC PDF

Abstract

The shape of a planar curve is the geometric information that remains once translation, rotation, scale and reparametrisation are removed and is of interest in many health applications, e.g. in neuroimaging. We propose a deep shape regression model for open planar curves that admits multimodal and high-dimensional covariates. Representing curves as complex-valued functions, we show that the condit…

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