Predicting Shape Development: a Riemannian Method
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866914688744292352 |
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| author | Türkseven, Doğa Rekik, Islem von Tycowicz, Christoph Hanik, Martin |
| author_facet | Türkseven, Doğa Rekik, Islem von Tycowicz, Christoph Hanik, Martin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_04740 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Predicting Shape Development: a Riemannian Method Türkseven, Doğa Rekik, Islem von Tycowicz, Christoph Hanik, Martin Computer Vision and Pattern Recognition Differential Geometry Tissues and Organs 92-05 (Primary), 53Z10, 62J99 (Secondary) 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. |
| title | Predicting Shape Development: a Riemannian Method |
| topic | Computer Vision and Pattern Recognition Differential Geometry Tissues and Organs 92-05 (Primary), 53Z10, 62J99 (Secondary) |
| url | https://arxiv.org/abs/2212.04740 |