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Topological features such as persistence diagrams and their functional approximations like persistence images (PIs) have been showing substantial promise for machine learning and computer vision applications. This is greatly attributed to…

Computer Vision and Pattern Recognition · Computer Science 2020-05-26 Anirudh Som , Hongjun Choi , Karthikeyan Natesan Ramamurthy , Matthew Buman , Pavan Turaga

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

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

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

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

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

Many datasets can be viewed as a noisy sampling of an underlying space, and tools from topological data analysis can characterize this structure for the purpose of knowledge discovery. One such tool is persistent homology, which provides a…

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

Modern deep neural networks have shown remarkable performance in medical image classification. However, such networks either emphasize pixel-intensity features instead of fundamental anatomical structures (e.g., those encoded by topological…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Pengfei Gu , Huimin Li , Haoteng Tang , Dongkuan , Xu , Erik Enriquez , DongChul Kim , Bin Fu , Danny Z. Chen

Cross-modal medical image segmentation presents a significant challenge, as different imaging modalities produce images with varying resolutions, contrasts, and appearances of anatomical structures. We introduce compositionality as an…

Computer Vision and Pattern Recognition · Computer Science 2024-08-22 Aniek Eijpe , Valentina Corbetta , Kalina Chupetlovska , Regina Beets-Tan , Wilson Silva

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

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

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

While conventional computer vision emphasizes pixel-level and feature-based objectives, medical image analysis of intricate biological structures necessitates explicit representation of their complex topological properties. Despite their…

Image and Video Processing · Electrical Eng. & Systems 2024-12-31 Yousef Yeganeh , Rui Xiao , Goktug Guvercin , Nassir Navab , Azade Farshad

The traditional SegNet architecture commonly encounters significant information loss during the sampling process, which detrimentally affects its accuracy in image semantic segmentation tasks. To counter this challenge, we introduce an…

Image and Video Processing · Electrical Eng. & Systems 2024-06-05 Zijun Gao , Qi Wang , Taiyuan Mei , Xiaohan Cheng , Yun Zi , Haowei Yang

Automated detection of curvilinear structures, e.g., blood vessels or nerve fibres, from medical and biomedical images is a crucial early step in automatic image interpretation associated to the management of many diseases. Precise…

Image and Video Processing · Electrical Eng. & Systems 2020-10-20 Lei Mou , Yitian Zhao , Huazhu Fu , Yonghuai Liu , Jun Cheng , Yalin Zheng , Pan Su , Jianlong Yang , Li Chen , Alejandro F Frang , Masahiro Akiba , Jiang Liu

Skin cancer is one of the most common cancers in the United States. As technological advancements are made, algorithmic diagnosis of skin lesions is becoming more important. In this paper, we develop algorithms for segmenting the actual…

Computer Vision and Pattern Recognition · Computer Science 2019-05-22 Yu-Min Chung , Chuan-Shen Hu , Austin Lawson , Clifford Smyth

Modern deep neural networks have achieved great successes in medical image analysis. However, the features captured by convolutional neural networks (CNNs) or Transformers tend to be optimized for pixel intensities and neglect key…

Computer Vision and Pattern Recognition · Computer Science 2023-11-30 Yaopeng Peng , Hongxiao Wang , Milan Sonka , Danny Z. Chen

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
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