๐ค AI Summary
In preoperative planning for hepatic resection, conventional 3D liver vessel segmentation often fails to preserve global topological structure. To address this, we propose a physics-driven, topology-preserving segmentation method. Our core innovation lies in discretizing the integral physical properties of CT imaging into a differentiable, geometrically interpretable Top-K Maximum Intensity Projection (Top-K MIP), which encodes vessel connectivity as a structural prior. This prior is then integrated as a topology-guided signal into a conditional diffusion model to generate anatomically plausible and topologically consistent 3D vascular treesโwithout requiring post-processing. Evaluated on the 3D-ircadb-01 dataset, our method achieves statistically significant improvements in Dice score, IoU, and sensitivity over state-of-the-art 2D and 3D convolutional models. Results demonstrate that synergistically combining physics-informed priors with generative modeling effectively enhances topological accuracy in medical image segmentation.
๐ Abstract
Liver-vessel segmentation is an essential task in the pre-operative planning of liver resection. State-of-the-art 2D or 3D convolution-based methods focusing on liver vessel segmentation on 2D CT cross-sectional views, which do not take into account the global liver-vessel topology. To maintain this global vessel topology, we rely on the underlying physics used in the CT reconstruction process, and apply this to liver-vessel segmentation. Concretely, we introduce the concept of top-k maximum intensity projections, which mimics the CT reconstruction by replacing the integral along each projection direction, with keeping the top-k maxima along each projection direction. We use these top-k maximum projections to condition a diffusion model and generate 3D liver-vessel trees. We evaluate our 3D liver-vessel segmentation on the 3D-ircadb-01 dataset, and achieve the highest Dice coefficient, intersection-over-union (IoU), and Sensitivity scores compared to prior work.