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Persistent homology (PH) is a method for generating topology-inspired representations of data. Empirical studies that investigate the properties of PH, such as its sensitivity to perturbations or ability to detect a feature of interest,…

Algebraic Topology · Mathematics 2024-03-05 Shuang Liang , Renata Turkeš , Jiayi Li , Nina Otter , Guido Montúfar

Image compression has been applied in the fields of image storage and video broadcasting. However, it's formidably tough to distinguish the subtle quality differences between those distorted images generated by different algorithms. In this…

Computer Vision and Pattern Recognition · Computer Science 2024-01-17 Kaiqun Wu , Xiaoling Jiang , Rui Yu , Yonggang Luo , Tian Jiang , Xi Wu , Peng Wei

We introduce ellipsoidal filtration, a novel method for persistent homology, and demonstrate its effectiveness in denoising recurrent signals. Unlike standard Rips filtrations, which use isotropic neighbourhoods and ignore the signal's…

Computational Geometry · Computer Science 2025-10-21 Omer Bahadir Eryilmaz , Cihan Katar , Max A. Little

Acquisition of high dynamic range (HDR) images is thriving due to the increasing use of smart devices and the demand for high-quality output. Extensive research has focused on developing methods for reducing the luminance range in HDR…

Image and Video Processing · Electrical Eng. & Systems 2024-09-25 Xenios Milidonis , Francesco Banterle , Alessandro Artusi

Fourier imaging is an indirect imaging method which records the diffraction pattern of the object scene coherently in the focal plane of the imaging system and reconstructs the image using computational resources. The spatial resolution,…

Optics · Physics 2023-06-05 Hui Yuan , Alvydas Lisauskas , Mark D. Thomson , Hartmut G. Roskos

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

Neural image compression methods have seen increasingly strong performance in recent years. However, they suffer orders of magnitude higher computational complexity compared to traditional codecs, which hinders their real-world deployment.…

Image and Video Processing · Electrical Eng. & Systems 2023-11-13 Yibo Yang , Stephan Mandt

In this paper we study the performance of image reconstruction methods from incomplete samples of the 2D discrete Fourier transform. Inspired by requirements in parallel MRI, we focus on a special sampling pattern with a small number of…

Numerical Analysis · Mathematics 2025-10-22 Gerlind Plonka , Anahita Riahi

Learning-based image compression methods have emerged as state-of-the-art, showcasing higher performance compared to conventional compression solutions. These data-driven approaches aim to learn the parameters of a neural network model…

Multimedia · Computer Science 2024-03-20 Shima Mohammadi , Yaojun Wu , João Ascenso

This study introduces a novel unsupervised medical image feature extraction method that employs spatial stratification techniques. An objective function based on weight is proposed to achieve the purpose of fast image recognition. The…

Image and Video Processing · Electrical Eng. & Systems 2024-06-28 Qishi Zhan , Dan Sun , Erdi Gao , Yuhan Ma , Yaxin Liang , Haowei Yang

This paper proposes a new end-to-end trainable model for lossy image compression, which includes several novel components. The method incorporates 1) an adequate perceptual similarity metric; 2) saliency in the images; 3) a hierarchical…

Image and Video Processing · Electrical Eng. & Systems 2020-11-10 Yash Patel , Srikar Appalaraju , R. Manmatha

This work is a follow up on the newly proposed clustering algorithm called The Inverse Square Mean Shift Algorithm. In this paper a special case of algorithm for dealing with non-homogenous data is formulated and the three dimensional Fast…

Computer Vision and Pattern Recognition · Computer Science 2026-04-10 Nader Bazyari , Hedieh Sajedi

Face recognition technology has advanced rapidly and has been widely used in various applications. Due to the extremely huge amount of data of face images and the large computing resources required correspondingly in large-scale face…

Computer Vision and Pattern Recognition · Computer Science 2019-07-04 Nai Bian , Feng Liang , Haisheng Fu , Bo Lei

Persistent homology (PH) is a powerful mathematical method to automatically extract relevant insights from images, such as those obtained by high-resolution imaging devices like electron microscopes or new-generation telescopes. However,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-15 Riccardo Ceccaroni , Lorenzo Di Rocco , Umberto Ferraro Petrillo , Pierpaolo Brutti

This work introduces a Transformer-based image compression system. It has the flexibility to switch between the standard image reconstruction and the denoising reconstruction from a single compressed bitstream. Instead of training separate…

Image and Video Processing · Electrical Eng. & Systems 2024-02-21 Yi-Hsin Chen , Kuan-Wei Ho , Shiau-Rung Tsai , Guan-Hsun Lin , Alessandro Gnutti , Wen-Hsiao Peng , Riccardo Leonardi

Qualitative methods such as the linear sampling method and the factorization method reconstruct acoustic scatterers through sampling indicators. In practice, these indicators are gray-scale fields on a prescribed sampling window and a…

Numerical Analysis · Mathematics 2026-05-21 Xiaomei Yang , Jiaying Jia , Zhiliang Deng

Learned image compression sits at the intersection of machine learning and image processing. With advances in deep learning, neural network-based compression methods have emerged. In this process, an encoder maps the image to a…

Computer Vision and Pattern Recognition · Computer Science 2025-09-15 Fabien Allemand , Attilio Fiandrotti , Sumanta Chaudhuri , Alaa Eddine Mazouz

Model compression techniques allow to significantly reduce the computational cost associated with data processing by deep neural networks with only a minor decrease in average accuracy. Simultaneously, reducing the model size may have a…

Machine Learning · Computer Science 2021-09-28 Sebastian Cygert , Andrzej Czyżewski

In this paper we tackle the problem of stereo image compression, and leverage the fact that the two images have overlapping fields of view to further compress the representations. Our approach leverages state-of-the-art single-image…

Image and Video Processing · Electrical Eng. & Systems 2019-08-13 Jerry Liu , Shenlong Wang , Raquel Urtasun

Over-fitting-based image compression requires weights compactness for compression and fast convergence for practical use, posing challenges for deep convolutional neural networks (CNNs) based methods. This paper presents a simple…

Image and Video Processing · Electrical Eng. & Systems 2023-10-13 Yun Ye , Yanjie Pan , Qually Jiang , Ming Lu , Xiaoran Fang , Beryl Xu
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