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Segmentation networks are not explicitly imposed to learn global invariants of an image, such as the shape of an object and the geometry between multiple objects, when they are trained with a standard loss function. On the other hand,…

Image and Video Processing · Electrical Eng. & Systems 2026-01-21 Seher Ozcelik , Sinan Unver , Ilke Ali Gurses , Rustu Turkay , Cigdem Gunduz-Demir

Topological correctness is critical for segmentation of tubular structures, which pervade in biomedical images. Existing topological segmentation loss functions are primarily based on the persistent homology of the image. They match the…

Computer Vision and Pattern Recognition · Computer Science 2025-10-29 Bo Wen , Haochen Zhang , Dirk-Uwe G. Bartsch , William R. Freeman , Truong Q. Nguyen , Cheolhong An

Topological consistency plays a crucial role in the task of boundary segmentation for reticular images, such as cell membrane segmentation in neuron electron microscopic images, grain boundary segmentation in material microscopic images and…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Chuni Liu , Boyuan Ma , Xiaojuan Ban , Yujie Xie , Hao Wang , Weihua Xue , Jingchao Ma , Ke Xu

Data-driven machine learning approaches have recently been proposed to facilitate wireless network optimization by learning latent knowledge from historical optimization instances. However, existing methods do not well handle the topology…

Networking and Internet Architecture · Computer Science 2021-01-06 Shuai Zhang , Bo Yin , Yu Cheng

Accurately segmenting thin tubular structures, such as vessels, nerves, roads or concrete cracks, is a crucial task in computer vision. Standard deep learning-based segmentation loss functions, such as Dice or Cross-Entropy, focus on…

Topological correctness plays a critical role in many image segmentation tasks, yet most networks are trained using pixel-wise loss functions, such as Dice, neglecting topological accuracy. Existing topology-aware methods often lack robust…

Computer Vision and Pattern Recognition · Computer Science 2025-04-21 Laurin Lux , Alexander H. Berger , Alexander Weers , Nico Stucki , Daniel Rueckert , Ulrich Bauer , Johannes C. Paetzold

Topological accuracy in medical image segmentation is a highly important property for downstream applications such as network analysis and flow modeling in vessels or cell counting. Recently, significant methodological advancements have…

Image and Video Processing · Electrical Eng. & Systems 2024-10-10 Alexander H. Berger , Nico Stucki , Laurin Lux , Vincent Buergin , Suprosanna Shit , Anna Banaszak , Daniel Rueckert , Ulrich Bauer , Johannes C. Paetzold

Precise segmentation of retinal arteries and veins carries the diagnosis of systemic cardiovascular conditions. However, standard convolutional architectures often yield topologically disjointed segmentations, characterized by gaps and…

Computer Vision and Pattern Recognition · Computer Science 2026-02-04 Iftekhar Ahmed , Shakib Absar , Aftar Ahmad Sami , Shadman Sakib , Debojyoti Biswas , Seraj Al Mahmud Mostafa

We propose a new topological tool for computer vision - Scalar Function Topology Divergence (SFTD), which measures the dissimilarity of multi-scale topology between sublevel sets of two functions having a common domain. Functions can be…

Computer Vision and Pattern Recognition · Computer Science 2025-05-08 Ilya Trofimov , Daria Voronkova , Eduard Tulchinskii , Evgeny Burnaev , Serguei Barannikov

Segmentation algorithms are prone to make topological errors on fine-scale structures, e.g., broken connections. We propose a novel method that learns to segment with correct topology. In particular, we design a continuous-valued loss…

Computer Vision and Pattern Recognition · Computer Science 2019-06-18 Xiaoling Hu , Li Fuxin , Dimitris Samaras , Chao Chen

Persistent homology offers a powerful tool for extracting hidden topological signals from brain networks. It captures the evolution of topological structures across multiple scales, known as filtrations, thereby revealing topological…

Medical image segmentation, which aims to automatically extract anatomical or pathological structures, plays a key role in computer-aided diagnosis and disease analysis. Despite the problem has been widely studied, existing methods are…

Image and Video Processing · Electrical Eng. & Systems 2022-03-01 Han Zhang , Lok Ming Lui

Capturing the global topology of an image is essential for proposing an accurate segmentation of its domain. However, most of existing segmentation methods do not preserve the initial topology of the given input, which is detrimental for…

Computer Vision and Pattern Recognition · Computer Science 2022-08-19 Minh On Vu Ngoc , Yizi Chen , Nicolas Boutry , Jonathan Fabrizio , Clement Mallet

Segmentation of medical images constitutes an essential component of medical image analysis, providing the foundation for precise diagnosis and efficient therapeutic interventions in clinical practices. Despite substantial progress, most…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Muzammal Shafique , Nasir Rahim , Jamil Ahmad , Mohammad Siadat , Khalid Malik , Ghaus Malik

In image segmentation, preserving the topology of segmented structures like vessels, membranes, or roads is crucial. For instance, topological errors on road networks can significantly impact navigation. Recently proposed solutions are loss…

Computer Vision and Pattern Recognition · Computer Science 2025-06-16 Benedict Schacht , Imke Greving , Simone Frintrop , Berit Zeller-Plumhoff , Christian Wilms

Almost all statistical and machine learning methods in analyzing brain networks rely on distances and loss functions, which are mostly Euclidean or matrix norms. The Euclidean or matrix distances may fail to capture underlying subtle…

Computational Geometry · Computer Science 2021-02-18 Moo K. Chung , Alexander Smith , Gary Shiu

Deep learning has achieved remarkable accuracy in medical image segmentation, particularly for larger structures with well-defined boundaries. However, its effectiveness can be challenged by factors such as irregular object shapes and…

Image and Video Processing · Electrical Eng. & Systems 2025-10-27 Md Rakibul Islam , Riad Hassan , Abdullah Nazib , Kien Nguyen , Clinton Fookes , Md Zahidul Islam

We introduce a method for training neural networks to perform image or volume segmentation in which prior knowledge about the topology of the segmented object can be explicitly provided and then incorporated into the training process. By…

Computer Vision and Pattern Recognition · Computer Science 2020-09-21 James R. Clough , Nicholas Byrne , Ilkay Oksuz , Veronika A. Zimmer , Julia A. Schnabel , Andrew P. King

Accurate segmentation of tubular and curvilinear structures, such as blood vessels, neurons, and road networks, is crucial in various applications. A key challenge is ensuring topological correctness while maintaining computational…

Image and Video Processing · Electrical Eng. & Systems 2025-03-21 Siyi Wu , Leyi Zhao , Haotian Ma , Xinyuan Song

We propose a topology-constrained quantized nnUNet framework for efficient and anatomically accurate 3D tooth segmentation, addressing the challenges of spatial distortion introduced by quantization in deep learning models. The proposed…

Computer Vision and Pattern Recognition · Computer Science 2026-05-07 Paarth Prasad , Ruchika Malhotra
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