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Segmentation of curvilinear structures such as vasculature and road networks is challenging due to relatively weak signals and complex geometry/topology. To facilitate and accelerate large scale annotation, one has to adopt semi-automatic…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Saumya Gupta , Yikai Zhang , Xiaoling Hu , Prateek Prasanna , 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

Accurate delineation of fine-scale structures is a very important yet challenging problem. Existing methods use topological information as an additional training loss, but are ultimately making pixel-wise predictions. In this paper, we…

Image and Video Processing · Electrical Eng. & Systems 2022-10-04 Xiaoling Hu , Dimitris Samaras , Chao Chen

Topological data analysis can reveal higher-order structure beyond pairwise connections between vertices in complex networks. We present a new method based on discrete Morse theory to study topological properties of unweighted and…

Discrete Mathematics · Computer Science 2019-10-01 Harish Kannan , Emil Saucan , Indrava Roy , Areejit Samal

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

In many scenarios, especially biomedical applications, the correct delineation of complex fine-scaled structures such as neurons, tissues, and vessels is critical for downstream analysis. Despite the strong predictive power of deep learning…

Computer Vision and Pattern Recognition · Computer Science 2024-03-25 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

Neuroscientific data analysis has classically involved methods for statistical signal and image processing, drawing on linear algebra and stochastic process theory. However, digitized neuroanatomical data sets containing labelled neurons,…

Computational Geometry · Computer Science 2018-05-15 Suyi Wang , Xu Li , Partha Mitra , Yusu Wang

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

Neuroscientific data analysis has traditionally relied on linear algebra and stochastic process theory. However, the tree-like shapes of neurons cannot be described easily as points in a vector space (the subtraction of two neuronal shapes…

Computer Vision and Pattern Recognition · Computer Science 2020-04-07 Dingkang Wang , Lucas Magee , Bing-Xing Huo , Samik Banerjee , Xu Li , Jaikishan Jayakumar , Meng Kuan Lin , Keerthi Ram , Suyi Wang , Yusu Wang , Partha P. Mitra

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 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

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

To understand biological intelligence we need to map neuronal networks in vertebrate brains. Mapping mesoscale neural circuitry is done using injections of tracers that label groups of neurons whose axons project to different brain regions.…

Neurons and Cognition · Quantitative Biology 2025-05-13 Samik Banerjee , Caleb Stam , Daniel J. Tward , Steven Savoia , Yusu Wang , Partha P. Mitra

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

Anatomical consistency in biomarker segmentation is crucial for many medical image analysis tasks. A promising paradigm for achieving anatomically consistent segmentation via deep networks is incorporating pixel connectivity, a basic…

Image and Video Processing · Electrical Eng. & Systems 2023-04-04 Ziyun Yang , Sina Farsiu

Image segmentation is widely used in a variety of computer vision tasks, such as object localization and recognition, boundary detection, and medical imaging. This thesis proposes deep learning architectures to improve automatic object…

Image and Video Processing · Electrical Eng. & Systems 2019-09-24 Debleena Sengupta

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

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

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
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