Predicting Shape Development: A Riemannian Method


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Türkseven D., Rekık I., von Tycowicz C., Hanik M.

International Workshop on Shape in Medical Imaging, ShapeMI 2023, Vancouver, Canada, 08 October 2023, vol.14350 LNCS, pp.211-222 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 14350 LNCS
  • Doi Number: 10.1007/978-3-031-46914-5_17
  • City: Vancouver
  • Country: Canada
  • Page Numbers: pp.211-222
  • Keywords: Regression, Riemannian manifold, Shape development Prediction
  • Istanbul Technical University Affiliated: Yes

Abstract

Predicting the future development of an anatomical shape from a single baseline observation is a challenging task. But it can be essential for clinical decision-making. Research has shown that it should be tackled in curved shape spaces, as (e.g., disease-related) shape changes frequently expose nonlinear characteristics. We thus propose a novel prediction method that encodes the whole shape in a Riemannian shape space. It then learns a simple prediction technique founded on hierarchical statistical modeling of longitudinal training data. When applied to predict the future development of the shape of the right hippocampus under Alzheimer’s disease and to human body motion, it outperforms deep learning-supported variants as well as state-of-the-art.