Article... International Conference on Learning Representations2021
Topology-Aware Segmentation Using Discrete Morse Theory.
Article in ... International Conference on Learning Representations, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 16 papers.
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Who cites it
16 citing papers in PubMed.
- Self-supervised small vessel segmentation with shape-aware geometric models and attention.Medical image analysis · 2026Article
- Frenet-Serret Frame-Based Decomposition for Part Segmentation of 3-D Curvilinear Structures.IEEE transactions on medical imaging · 2025Article
- Article
- Masked Vascular Structure Segmentation and Completion in Retinal Images.IEEE transactions on medical imaging · 2025Article
- TOPODIFFUSIONNET: A TOPOLOGY-AWARE DIFFUSION MODEL.... International Conference on Learning Representations · 2025Article
- MRI-Based Topology Deep Learning Model for Noninvasive Prediction of Microvascular Invasion and Assisting Prognostic Stratification in HCC.Liver international : official journal of the International Association for the Study of the Liver · 2025Article
- Topology- and graph-informed imaging informatics : first International Workshop, TGI3 2024, Held in Conjunction with MICCAI 2024, Marrakesh, Morocco, October 10, 2024, Proceedings. International Workshop on Topology- and Graph-Informed ... · 2025Article
- Projected pooling loss for red nucleus segmentation with soft topology constraints.Journal of medical imaging (Bellingham, Wash.) · 2024Article
- Position: Topological Deep Learning is the New Frontier for Relational Learning.Proceedings of machine learning research · 2024Article
- Article
- Morse theoretic signal compression and reconstruction on chain complexes.Journal of applied and computational topology · 2024Article
- Topology-Aware Uncertainty for Image Segmentation.Advances in neural information processing systems · 2024Article
- Automatic vectorization of historical maps: A benchmark.PloS one · 2024Article
- Semi-supervised Segmentation of Histopathology Images with Noise-Aware Topological Consistency.Computer vision - ECCV ... : ... European Conference on Computer Vision : proceedings. European Conference on Computer Vision · 2024Article
- PS-Net: human perception-guided segmentation network for EM cell membrane.Bioinformatics (Oxford, England) · 2023Article
- Representational coding of overt and covert orienting of visuospatial attention in the frontoparietal network.NeuroImage · 2022Article
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Authors and funding
5 authors.
Funding
Abstract
In the segmentation of fine-scale structures from natural and biomedical images, per-pixel accuracy is not the only metric of concern. Topological correctness, such as vessel connectivity and membrane closure, is crucial for downstream analysis tasks. In this paper, we propose a new approach to train deep image segmentation networks for better topological accuracy. In particular, leveraging the power of discrete Morse theory (DMT), we identify global structures, including 1D skeletons and 2D patches, which are important for topological accuracy. Trained with a novel loss based on these global structures, the network performance is significantly improved especially near topologically challenging locations (such as weak spots of connections and membranes). On diverse datasets, our method achieves superior performance on both the DICE score and topological metrics.
Identifiers
42306482PMC13267842What OpenQuestion holds
Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.