Ricci curvature based volumetric segmentation

Tools

Lei, Na and Huang, Jisui and Chen, Ke and Ren, Yuxue and Saucan, Emil and Wang, Zhenchang and Shang, Yuanyuan (2024) Ricci curvature based volumetric segmentation. Image and Vision Computing, 150. 105192. ISSN 0262-8856 (https://doi.org/10.1016/j.imavis.2024.105192)

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Abstract

The level set method has played a critical role among many image segmentation approaches. Several edge detectors, such as the gradient, have been applied to its regularisation term. However, traditional edge detectors lack high-order information and are sensitive to image noise. To tackle this problem, we introduce a method to calculate the Ricci curvature, a vital curvature in three-dimensional Riemannian geometry. In addition, we propose incorporating the curvature into the regularisation term. Experiments suggest that our method outperforms the state-of-the-art level set methods and achieves a comparable result with the Swin UNETR and Segment Anything.

ORCID iDs

Lei, Na, Huang, Jisui, Chen, Ke ORCID logoORCID: https://orcid.org/0000-0002-6093-6623, Ren, Yuxue, Saucan, Emil, Wang, Zhenchang and Shang, Yuanyuan;
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