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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

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

Whole heart segmentation (WHS) supports cardiovascular disease (CVD) diagnosis, disease monitoring, treatment planning, and prognosis. Deep learning has become the most widely used method for WHS applications in recent years. However,…

Image and Video Processing · Electrical Eng. & Systems 2024-10-21 Chenyu Zhang , Wenxue Guan , Xiaodan Xing , Guang Yang

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

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

Gland segmentation is a critical step to quantitatively assess the morphology of glands in histopathology image analysis. However, it is challenging to separate densely clustered glands accurately. Existing deep learning-based approaches…

Image and Video Processing · Electrical Eng. & Systems 2021-10-28 Haotian Wang , Min Xian , Aleksandar Vakanski

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

Existing research highlights the crucial role of topological priors in image segmentation, particularly in preserving essential structures such as connectivity and genus. Accurately capturing these topological features often requires…

Computer Vision and Pattern Recognition · Computer Science 2026-01-19 Wenxiao Li , Xue-Cheng Tai , 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 propose the Topology-Preserving Segmentation Network, a deformation-based model that can extract objects in an image while maintaining their topological properties. This network generates segmentation masks that have the same topology as…

Computer Vision and Pattern Recognition · Computer Science 2024-06-18 Han Zhang , Lok Ming Lui

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

Curvilinear structure segmentation is important in medical imaging, quantifying structures such as vessels, airways, neurons, or organ boundaries in 2D slices. Segmentation via pixel-wise classification often fails to capture the small and…

Image and Video Processing · Electrical Eng. & Systems 2023-03-07 Manxi Lin , Zahra Bashir , Martin Grønnebæk Tolsgaard , Anders Nymark Christensen , Aasa Feragen

Deep Implicit Functions (DIFs) represent 3D geometry with continuous signed distance functions learned through deep neural nets. Recently DIFs-based methods have been proposed to handle shape reconstruction and dense point correspondences…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 Shanlin Sun , Kun Han , Deying Kong , Hao Tang , Xiangyi Yan , Xiaohui Xie

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

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

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

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

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

The ability to extrapolate gene expression dynamics in living single cells requires robust cell segmentation, and one of the challenges is the amorphous or irregularly shaped cell boundaries. To address this issue, we modified the U-Net…

Quantitative Methods · Quantitative Biology 2020-01-17 Nanyan Zhu , Chen Liu , Zakary S. Singer , Tal Danino , Andrew F. Laine , Jia Guo
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