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The ever-increasing 3D application makes the point cloud compression unprecedentedly important and needed. In this paper, we propose a patch-based compression process using deep learning, focusing on the lossy point cloud geometry…

Computer Vision and Pattern Recognition · Computer Science 2021-10-19 Kang You , Pan Gao

We implement a computational pipeline based on a recent machine learning technique, namely the Topological Data Analysis (TDA), that has the capability of extracting powerful information-carrying topological features. We apply such a method…

Strongly Correlated Electrons · Physics 2025-03-11 Andrea Tirelli , Natanael C. Costa

Vision Transformers (ViTs) are built on the assumption of treating image patches as ``visual tokens" and learn patch-to-patch attention. The patch embedding based tokenizer has a semantic gap with respect to its counterpart, the textual…

Computer Vision and Pattern Recognition · Computer Science 2023-04-10 Ryan Grainger , Thomas Paniagua , Xi Song , Naresh Cuntoor , Mun Wai Lee , Tianfu Wu

Deep learning methods have achieved a lot of success in various applications involving converting wearable sensor data to actionable health insights. A common application areas is activity recognition, where deep-learning methods still…

Signal Processing · Electrical Eng. & Systems 2024-07-09 Eun Som Jeon , Hongjun Choi , Ankita Shukla , Yuan Wang , Hyunglae Lee , Matthew P. Buman , Pavan Turaga

Photoacoustic tomography (PAT) is a medical imaging modality that can provide high-resolution tissue images based on the optical absorption. Classical reconstruction methods for quantifying the absorption coefficients rely on sufficient…

Image and Video Processing · Electrical Eng. & Systems 2026-04-24 Anssi Manninen , Janek Gröhl , Felix Lucka , Andreas Hauptmann

Persistent topological Laplacians constitute a new class of tools in topological data analysis (TDA). They are motivated by the necessity to address challenges encountered in persistent homology when handling complex data. These Laplacians…

Algebraic Topology · Mathematics 2024-12-12 Xiaoqi Wei , Guo-Wei Wei

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

Recently, topological deep learning (TDL), which integrates algebraic topology with deep neural networks, has achieved tremendous success in processing point-cloud data, emerging as a promising paradigm in data science. However, TDL has not…

Image and Video Processing · Electrical Eng. & Systems 2025-03-04 Xiang Liu , Zhe Su , Yongyi Shi , Yiying Tong , Ge Wang , Guo-Wei Wei

Various multi-modal imaging sensors are currently involved at different steps of an interventional therapeutic work-flow. Cone beam computed tomography (CBCT), computed tomography (CT) or Magnetic Resonance (MR) images thereby provides…

Image and Video Processing · Electrical Eng. & Systems 2020-11-25 Luc Lafitte , Rémi Giraud , Cornel Zachiu , Mario Ries , Olivier Sutter , Antoine Petit , Olivier Seror , Clair Poignard , Baudouin Denis de Senneville

The topological analysis of four-dimensional (4D) image-type data is challenged by the immense size that these datasets can reach. This can render the direct application of methods, like persistent homology and convolutional neural networks…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 Khalil Mathieu Hannouch , Stephan Chalup

A common approach to medical image analysis on volumetric data uses deep 2D convolutional neural networks (CNNs). This is largely attributed to the challenges imposed by the nature of the 3D data: variable volume size, GPU exhaustion during…

Image and Video Processing · Electrical Eng. & Systems 2020-07-28 Hasib Zunair , Aimon Rahman , Nabeel Mohammed , Joseph Paul Cohen

Computed Tomography (CT) is a frequently utilized imaging technology that is employed in the clinical diagnosis of many disorders. However, clinical diagnosis, data storage, and management are posed huge challenges by a huge volume of…

Image and Video Processing · Electrical Eng. & Systems 2024-05-02 Siyi Xun , Qiaoyu Li , Xiaohong Liu , Guangtao Zhai , Mingxiang Wu , Tao Tan

Enhancing the precision of segmenting coronary atherosclerotic plaques from CT Angiography (CTA) images is pivotal for advanced Coronary Atherosclerosis Analysis (CAA), which distinctively relies on the analysis of vessel cross-section…

Image and Video Processing · Electrical Eng. & Systems 2025-01-15 Ziheng Zhang , Zihan Li , Dandan Shan , Yuehui Qiu , Qingqi Hong , Qingqiang Wu

Computational Pathology (CPath) is an emerging field concerned with the study of tissue pathology via computational algorithms for the processing and analysis of digitized high-resolution images of tissue slides. Recent deep learning based…

Image and Video Processing · Electrical Eng. & Systems 2021-12-20 Amina Asif , Kashif Rajpoot , David Snead , Fayyaz Minhas , Nasir Rajpoot

We present 3DeepCT, a deep neural network for computed tomography, which performs 3D reconstruction of scattering volumes from multi-view images. Our architecture is dictated by the stationary nature of atmospheric cloud fields. The task of…

Image and Video Processing · Electrical Eng. & Systems 2020-12-14 Yael Sde-Chen , Yoav Y. Schechner , Vadim Holodovsky , Eshkol Eytan

In this paper, we propose PATO-a producibility-aware topology optimization (TO) framework to help efficiently explore the design space of components fabricated using metal additive manufacturing (AM), while ensuring manufacturability with…

Computational Engineering, Finance, and Science · Computer Science 2021-12-10 Naresh S. Iyer , Amir M. Mirzendehdel , Sathyanarayanan Raghavan , Yang Jiao , Erva Ulu , Morad Behandish , Saigopal Nelaturi , Dean M. Robinson

Topological Data Analysis (TDA) is an approach to handle with big data by studying its shape. A main tool of TDA is the persistence diagram, and one can use it to compare data sets. One approach to learn on the similarity between two…

Applications · Statistics 2020-03-04 Sarit Agami

This report provides an overview of the current state of the art deep learning architectures and optimisation techniques, and uses the ADNI hippocampus MRI dataset as an example to compare the effectiveness and efficiency of different…

Machine Learning · Computer Science 2015-05-11 Matthew Lai

We develop a framework for analyzing multivariate time series using topological data analysis (TDA) methods. The proposed methodology involves converting the multivariate time series to point cloud data, calculating Wasserstein distances…

Algebraic Topology · Mathematics 2020-12-29 Chengyuan Wu , Carol Anne Hargreaves

Fourier ptychography has attracted a wide range of focus for its ability of large space-bandwidth-produce, and quantative phase measurement. It is a typical computational imaging technique which refers to optimizing both the imaging…

Image and Video Processing · Electrical Eng. & Systems 2022-03-08 Guocheng Zhou , Shaohui Zhang , Yao Hu , Lei Cao , Yong Huang , Qun Hao