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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 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 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

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

Although the preservation of shape continuity and physiological anatomy is a natural assumption in the segmentation of medical images, it is often neglected by deep learning methods that mostly aim for the statistical modeling of input data…

Computer Vision and Pattern Recognition · Computer Science 2023-05-01 Yousef Yeganeh , Azade Farshad , Goktug Guevercin , Amr Abu-zer , Rui Xiao , Yongjian Tang , Ehsan Adeli , Nassir Navab

We present a novel method to explicitly incorporate topological prior knowledge into deep learning based segmentation, which is, to our knowledge, the first work to do so. Our method uses the concept of persistent homology, a tool from…

Computer Vision and Pattern Recognition · Computer Science 2019-01-30 James R. Clough , Ilkay Oksuz , Nicholas Byrne , Julia A. Schnabel , Andrew P. King

Image segmentation is to extract meaningful objects from a given image. For degraded images due to occlusions, obscurities or noises, the accuracy of the segmentation result can be severely affected. To alleviate this problem, prior…

Computer Vision and Pattern Recognition · Computer Science 2021-04-01 Daoping Zhang , Lok Ming Lui

Variational models are widely used in image segmentation, with various models designed to address different types of images by optimizing specific objective functionals. However, traditional segmentation models primarily focus on the visual…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Lingyun Deng , Litong Liu , Dong Wang , Xiao-Ping Wang

Segmenting curvilinear structures in medical images is essential for analyzing morphological patterns in clinical applications. Integrating topological properties, such as connectivity, improves segmentation accuracy and consistency.…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Zhuangzhi Gao , Feixiang Zhou , He Zhao , Xiuju Chen , Xiaoxin Li , Qinkai Yu , Yitian Zhao , Alena Shantsila , Gregory Y. H. Lip , Eduard Shantsila , Yalin Zheng

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

Computational topology provides a tool, persistent homology, to extract quantitative descriptors from structured objects (images, graphs, point clouds, etc). These descriptors can then be involved in optimization problems, typically as a…

Computational Geometry · Computer Science 2026-03-27 Mathieu Carriere , Yuichi Ike , Théo Lacombe , Naoki Nishikawa

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

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

Thresholding--the pruning of nodes or edges based on their properties or weights--is an essential preprocessing tool for extracting interpretable structure from complex network data, yet existing methods face several key limitations.…

Social and Information Networks · Computer Science 2025-10-07 Adam Schroeder , Russell Funk , Jingyi Guan , Taylor Okonek , Lori Ziegelmeier

Topological structures in image data, such as connected components and loops, play a crucial role in understanding image content (e.g., biomedical objects). % Despite remarkable successes of numerous image processing methods that rely on…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Pengfei Gu , Hongxiao Wang , Yejia Zhang , Huimin Li , Chaoli Wang , Danny Chen

Geometry and topology constitute complementary descriptors of three-dimensional shape, yet existing benchmark datasets primarily capture geometric information while neglecting topological structure. This work addresses this limitation by…

Computer Vision and Pattern Recognition · Computer Science 2026-02-17 Prachi Kudeshia , Jiju Poovvancheri

Accurate topology is key when performing meaningful anatomical segmentations, however, it is often overlooked in traditional deep learning methods. In this work we propose TEDS-Net: a novel segmentation method that guarantees accurate…

Image and Video Processing · Electrical Eng. & Systems 2021-07-29 Madeleine K. Wyburd , Nicola K. Dinsdale , Ana I. L. Namburete , Mark Jenkinson

Tumor segmentation in whole-slide images of histology slides is an important step towards computer-assisted diagnosis. In this work, we propose a tumor segmentation framework based on the novel concept of persistent homology profiles…

Computer Vision and Pattern Recognition · Computer Science 2018-05-11 Talha Qaiser , Yee-Wah Tsang , Daiki Taniyama , Naoya Sakamoto , Kazuaki Nakane , David Epstein , Nasir Rajpoot

Persistent topological properties of an image serve as an additional descriptor providing an insight that might not be discovered by traditional neural networks. The existing research in this area focuses primarily on efficiently…

Computer Vision and Pattern Recognition · Computer Science 2023-03-07 Ekaterina Khramtsova , Guido Zuccon , Xi Wang , Mahsa Baktashmotlagh

It is challenging to directly estimate the human geometry from a single image due to the high diversity and complexity of body shapes with the various clothing styles. Most of model-based approaches are limited to predict the shape and pose…

Computer Vision and Pattern Recognition · Computer Science 2022-02-02 Lixiang Lin , Jianke Zhu
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