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Image segmentation is a challenging task influenced by multiple sources of uncertainty, such as the data labeling process or the sampling of training data. In this paper we focus on binary segmentation and address these challenges using…

Computer Vision and Pattern Recognition · Computer Science 2025-03-10 Luca Mossina , Corentin Friedrich

This research is motivated by studying image processing algorithms through a topological lens. The images we focus on here are those that have been segmented by digital Jordan curves as a means of image compression. The algorithms of…

Algebraic Topology · Mathematics 2019-08-21 Shelley Kandola

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 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

Semantic image segmentation is an important computer vision task that is difficult because it consists of both recognition and segmentation. The task is often cast as a structured output problem on an exponentially large output-space, which…

Computer Vision and Pattern Recognition · Computer Science 2017-09-07 Payman Yadollahpour

Image segmentation is a central topic in image processing and computer vision and a key issue in many applications, e.g., in medical imaging, microscopy, document analysis and remote sensing. According to the human perception, image…

Numerical Analysis · Mathematics 2022-06-24 Laura Antonelli , Valentina De Simone , Daniela di Serafino

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 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 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

This paper presents a new probabilistic generative model for image segmentation, i.e. the task of partitioning an image into homogeneous regions. Our model is grounded on a mid-level image representation, called a region tree, in which…

Machine Learning · Statistics 2015-06-15 Shell X. Hu , Christopher K. I. Williams , Sinisa Todorovic

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

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

Semantic segmentation aims to robustly predict coherent class labels for entire regions of an image. It is a scene understanding task that powers real-world applications (e.g., autonomous navigation). One important application, the use of…

Computer Vision and Pattern Recognition · Computer Science 2023-02-16 Yuxiang Zhang , Sachin Mehta , Anat Caspi

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

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

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

Automated crack inspection is increasingly recognized as a critical component of infrastructure monitoring; however, cracks continue to be reported primarily as binary segmentation masks by many current vision-based systems. While…

General Mathematics · Mathematics 2026-05-12 Sri Surya Pravallika Ajjarapu , S. M. Mallikarjunaiah

This paper investigates one of the most fundamental computer vision problems: image segmentation. We propose a supervised hierarchical approach to object-independent image segmentation. Starting with over-segmenting superpixels, we use a…

Computer Vision and Pattern Recognition · Computer Science 2016-08-16 Ting Liu , Mojtaba Seyedhosseini , Tolga Tasdizen

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

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
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