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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

In this work we use the persistent homology method, a technique in topological data analysis (TDA), to extract essential topological features from the data space and combine them with deep learning features for classification tasks. In TDA,…

Computer Vision and Pattern Recognition · Computer Science 2023-11-14 Mariana Dória Prata Lima , Gilson Antonio Giraldi , Gastão Florêncio Miranda Junior

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

Convolutional neural networks (CNNs) have been recently used for a variety of histology image analysis. However, availability of a large dataset is a major prerequisite for training a CNN which limits its use by the computational pathology…

Computer Vision and Pattern Recognition · Computer Science 2018-03-07 Ruqayya Awan , Navid Alemi Koohbanani , Muhammad Shaban , Anna Lisowska , 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

Recent years have witnessed an increased interest in the application of persistent homology, a topological tool for data analysis, to machine learning problems. Persistent homology is known for its ability to numerically characterize the…

Neural and Evolutionary Computing · Computer Science 2016-08-29 Jen-Yu Liu , Shyh-Kang Jeng , Yi-Hsuan Yang

Persistent homology is a mathematical tool used for studying the shape of data by extracting its topological features. It has gained popularity in network science due to its applicability in various network mining problems, including…

Algebraic Topology · Mathematics 2023-06-21 Mehmet Emin Aktas , Thu Nguyen , Rakin Riza , Muhammad Ifte Islam , Esra Akbas

Persistent Homology (PH) has been successfully used to train networks to detect curvilinear structures and to improve the topological quality of their results. However, existing methods are very global and ignore the location of topological…

Computer Vision and Pattern Recognition · Computer Science 2022-12-27 Doruk Oner , Adélie Garin , Mateusz Koziński , Kathryn Hess , Pascal Fua

Many works in the recent literature introduce semantic mapping methods that use CNNs (Convolutional Neural Networks) to recognize semantic properties in images. The types of properties (eg.: room size, place category, and objects) and their…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Ygor C. N. Sousa , Hansenclever F. Bassani

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

Digital histology images are amenable to the application of convolutional neural network (CNN) for analysis due to the sheer size of pixel data present in them. CNNs are generally used for representation learning from small image patches…

Image and Video Processing · Electrical Eng. & Systems 2019-07-24 Muhammad Shaban , Ruqayya Awan , Muhammad Moazam Fraz , Ayesha Azam , David Snead , Nasir M. Rajpoot

Gigapixel medical images provide massive data, both morphological textures and spatial information, to be mined. Due to the large data scale in histology, deep learning methods play an increasingly significant role as feature extractors.…

Image and Video Processing · Electrical Eng. & Systems 2022-06-16 Yiqing Shen , Bingxin Zhou , Xinye Xiong , Ruitian Gao , Yu Guang Wang

Topological data analysis uses tools from topology -- the mathematical area that studies shapes -- to create representations of data. In particular, in persistent homology, one studies one-parameter families of spaces associated with data,…

Machine Learning · Computer Science 2020-12-01 Guido Montúfar , Nina Otter , Yuguang Wang

Histology imaging is an essential diagnosis method to finalize the grade and stage of cancer of different tissues, especially for breast cancer diagnosis. Specialists often disagree on the final diagnosis on biopsy tissue due to the complex…

Computer Vision and Pattern Recognition · Computer Science 2019-09-17 Yongxiang Huang , Albert Chi-shing Chung

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

An Important tool in the field topological data analysis is known as persistent Homology (PH) which is used to encode abstract representation of the homology of data at different resolutions in the form of persistence diagram (PD). In this…

Image and Video Processing · Electrical Eng. & Systems 2022-07-13 Aras Asaad , Dashti Ali , Taban Majeed , Rasber Rashid

Classification of histologic patterns in lung adenocarcinoma is critical for determining tumor grade and treatment for patients. However, this task is often challenging due to the heterogeneous nature of lung adenocarcinoma and the…

Computer Vision and Pattern Recognition · Computer Science 2019-02-01 Jason W. Wei , Laura J. Tafe , Yevgeniy A. Linnik , Louis J. Vaickus , Naofumi Tomita , Saeed Hassanpour

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

Spatial arrangement of cells of various types, such as tumor infiltrating lymphocytes and the advancing edge of a tumor, are important features for detecting and characterizing cancers. However, convolutional neural networks (CNNs) do not…

Image and Video Processing · Electrical Eng. & Systems 2019-08-15 Shrey Gadiya , Deepak Anand , Amit Sethi

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
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