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arXiv · 2507.08223

SurfDist: Interpretable Three-Dimensional Instance Segmentation Using Curved Surface Patches

Jackson Borchardt·Saul Kato
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Abstract

We present SurfDist, a convolutional neural network architecture for three-dimensional volumetric instance segmentation. SurfDist enables prediction of instances represented as closed surfaces composed of smooth parametric surface patches, specifically bicubic B\'ezier triangles. SurfDist is a modification of the popular model architecture StarDist-3D which breaks StarDist-3D's coupling of instance parameterization dimension and instance voxel resolution, and it produces predictions which may be upsampled to arbitrarily high resolutions without introduction of voxelization artifacts. For datasets with blob-shaped instances, common in biomedical imaging, SurfDist can outperform StarDist-3D with more compact instance parameterizations. We detail SurfDist's technical implementation and show one synthetic and one real-world dataset for which it outperforms StarDist-3D. These results demonstrate that interpretable instance surface models can be learned effectively alongside instance membership.

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Jackson Borchardt, Saul Kato. 2025-07-11. SurfDist: Interpretable Three-Dimensional Instance Segmentation Using Curved Surface Patches. https://arxiv.org/abs/2507.08223

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