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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

Besides per-pixel accuracy, topological correctness is also crucial for the segmentation of images with fine-scale structures, e.g., satellite images and biomedical images. In this paper, by leveraging the theory of digital topology, we…

Computer Vision and Pattern Recognition · Computer Science 2022-10-14 Xiaoling Hu

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

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

Topological alignments and snakes are used in image processing, particularly in locating object boundaries. Both of them have their own advantages and limitations. To improve the overall image boundary detection system, we focused on…

Computer Vision and Pattern Recognition · Computer Science 2011-06-03 Ashraf A. Aly , Safaai Bin Deris , Nazar Zaki

Segmenting multiple objects (e.g., organs) in medical images often requires an understanding of their topology, which simultaneously quantifies the shape of the objects and their positions relative to each other. This understanding is…

Image and Video Processing · Electrical Eng. & Systems 2024-08-16 Mehmet Bahadir Erden , Sinan Unver , Ilke Ali Gurses , Rustu Turkay , Cigdem Gunduz-Demir

Image segmentation is a largely researched field where neural networks find vast applications in many facets of technology. Some of the most popular approaches to train segmentation networks employ loss functions optimizing pixel-overlap,…

Computer Vision and Pattern Recognition · Computer Science 2022-11-29 Nico Stucki , Johannes C. Paetzold , Suprosanna Shit , Bjoern Menze , Ulrich Bauer

Getting precise aspects of road through segmentation from remote sensing imagery is useful for many real-world applications such as autonomous vehicles, urban development and planning, and achieving sustainable development goals. Roads are…

Computer Vision and Pattern Recognition · Computer Science 2023-09-28 Javed Iqbal , Aliza Masood , Waqas Sultani , Mohsen Ali

While nowadays deep neural networks achieve impressive performances on semantic segmentation tasks, they are usually trained by optimizing pixel-wise losses such as cross-entropy. As a result, the predictions outputted by such networks…

Computer Vision and Pattern Recognition · Computer Science 2019-05-07 Yifu Chen , Arnaud Dapogny , Matthieu Cord

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 features play an essential role in ensuring geometric plausibility and structural consistency in image analysis tasks such as segmentation and skeletonization. However, integrating topology-preserving learning based on simple…

Computer Vision and Pattern Recognition · Computer Science 2026-05-01 Wenxiao Li , Faqiang Wang , Yuping Duan , Li Cui , Liqiang Zhang , Jun Liu

Deep learning-based medical image segmentation techniques have shown promising results when evaluated based on conventional metrics such as the Dice score or Intersection-over-Union. However, these fully automatic methods often fail to meet…

Image and Video Processing · Electrical Eng. & Systems 2025-08-06 Liu Li , Qiang Ma , Cheng Ouyang , Johannes C. Paetzold , Daniel Rueckert , Bernhard Kainz

Topological correctness, i.e., the preservation of structural integrity and specific characteristics of shape, is a fundamental requirement for medical imaging tasks, such as neuron or vessel segmentation. Despite the recent surge in…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Alexander H. Berger , Laurin Lux , Alexander Weers , Martin Menten , Daniel Rueckert , Johannes C. Paetzold

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…

Computer Vision and Pattern Recognition · Computer Science 2021-03-19 Xiaoling Hu , Yusu Wang , Li Fuxin , Dimitris Samaras , Chao Chen

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

Delineation of curvilinear structures is an important problem in Computer Vision with multiple practical applications. With the advent of Deep Learning, many current approaches on automatic delineation have focused on finding more powerful…

Computer Vision and Pattern Recognition · Computer Science 2017-12-07 Agata Mosinska , Pablo Marquez-Neila , Mateusz Kozinski , Pascal Fua

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

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

Cancer segmentation in whole-slide images is a fundamental step for viable tumour burden estimation, which is of great value for cancer assessment. However, factors like vague boundaries or small regions dissociated from viable tumour areas…

Image and Video Processing · Electrical Eng. & Systems 2021-09-28 Yibao Sun , Giussepi Lopez , Yaqi Wang , Xingru Huang , Huiyu Zhou , Qianni Zhang

The efficacy of segmentation algorithms is frequently compromised by topological errors like overlapping regions, disrupted connections, and voids. To tackle this problem, we introduce a novel loss function, namely Topology-Aware Focal Loss…

Image and Video Processing · Electrical Eng. & Systems 2023-04-28 Andac Demir , Elie Massaad , Bulent Kiziltan
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