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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

While learning based compression techniques for images have outperformed traditional methods, they have not been widely adopted in machine learning pipelines. This is largely due to lack of standardization and lack of retention of salient…

Image and Video Processing · Electrical Eng. & Systems 2024-10-01 Kartik Gupta , Kimberley Faria , Vikas Mehta

We introduce the novel concept of hypercomplex iterated function system (IFS) on the complete metric space $(\mathbb{A}_{n+1}^k,d)$ and define its hypercomplex attractor. Systems of hypercomplex function systems arising from hypercomplex…

Metric Geometry · Mathematics 2020-09-22 Peter Massopust

The integral image, an intermediate image representation, has found extensive use in multi-scale local feature detection algorithms, such as Speeded-Up Robust Features (SURF), allowing fast computation of rectangular features at constant…

Computer Vision and Pattern Recognition · Computer Science 2015-10-20 Shoaib Ehsan , Adrian F. Clark , Naveed ur Rehman , Klaus D. McDonald-Maier

The rapid pace of innovation in biological microscopy imaging has led to large images, putting pressure on data storage and impeding efficient sharing, management, and visualization. This necessitates the development of efficient…

In this age of information, images are a critical medium for storing and transmitting information. With the rapid growth of image data amount, visual compression and visual data perception are two important research topics attracting a lot…

Image and Video Processing · Electrical Eng. & Systems 2024-07-02 Yuefeng Zhang , Chuanmin Jia , Jiannhui Chang , Siwei Ma

Image compression emerges as a pivotal tool in the efficient handling and transmission of digital images. Its ability to substantially reduce file size not only facilitates enhanced data storage capacity but also potentially brings…

Computer Vision and Pattern Recognition · Computer Science 2024-03-12 Justin Yang , Zhihao Duan , Andrew Peng , Yuning Huang , Jiangpeng He , Fengqing Zhu

Lossy image compression is a many-to-one process, thus one bitstream corresponds to multiple possible original images, especially at low bit rates. However, this nature was seldom considered in previous studies on image compression, which…

Image and Video Processing · Electrical Eng. & Systems 2021-10-01 Haichuan Ma , Dong Liu , Cunhui Dong , Li Li , Feng Wu

We study invariant sets and measures generated by iterated function systems defined on countable discrete spaces that are uniform grids of a finite dimension. The discrete spaces of this type can be considered as models of spaces in which…

Dynamical Systems · Mathematics 2024-10-22 Tomasz Martyn

This work presents the first attempt to repurpose vision foundation models (VFMs) as image codecs, aiming to explore their generation capability for low-rate image compression. VFMs are widely employed in both conditional and unconditional…

Image and Video Processing · Electrical Eng. & Systems 2025-09-08 Huu-Tai Phung , Yu-Hsiang Lin , Yen-Kuan Ho , Wen-Hsiao Peng

Infrared-visible image fusion methods aim at generating fused images with good visual quality and also facilitate the performance of high-level tasks. Indeed, existing semantic-driven methods have considered semantic information injection…

Computer Vision and Pattern Recognition · Computer Science 2025-09-16 Liying Wang , Xiaoli Zhang , Chuanmin Jia , Siwei Ma

In 1996, Strichartz introduced reverse iterated function systems (RIFS) $\mathcal{F}=\{f_i(x)=r_i x+b_i\}_{i=1}^m$ of expanding mappings on $\mathbb{Z}$ and left the determination of the general dimension formulas of invariant sets as an…

Dynamical Systems · Mathematics 2026-05-14 Junjie Miao , Minghui Xu

Computer vision tasks are often expected to be executed on compressed images. Classical image compression standards like JPEG 2000 are widely used. However, they do not account for the specific end-task at hand. Motivated by works on…

Image and Video Processing · Electrical Eng. & Systems 2021-07-27 Alex Golts , Yoav Y. Schechner

With the advent of multi-coil imaging and compressed sensing, a number of model based reconstruction algorithms have been created. They incorporate a multitude of different regularization functions based on physics, observed phenomenology,…

Image and Video Processing · Electrical Eng. & Systems 2023-02-03 Nicholas Dwork , Ethan M. I. Johnson , Daniel O'Connor , Jeremy W. Gordon , Adam B. Kerr , Corey A. Baron , John M. Pauly , Peder E. Z. Larson

In this paper we consider Iterated Function Systems (IFS) on the real line consisting of continuous piecewise linear functions. We assume some bounds on the contraction ratios of the functions, but we do not assume any separation condition.…

Dynamical Systems · Mathematics 2021-09-10 R. D. Prokaj , K. Simon

We propose a federated algorithm for reconstructing images using multimodal tomographic data sourced from dispersed locations, addressing the challenges of traditional unimodal approaches that are prone to noise and reduced image quality.…

Optimization and Control · Mathematics 2025-01-13 Geunyeong Byeon , Minseok Ryu , Zichao Wendy Di , Kibaek Kim

Implicit Neural Representations (INRs) have revolutionized signal processing and computer vision by modeling signals as continuous, differentiable functions parameterized by neural networks. However, INRs are prone to the spectral bias…

Computer Vision and Pattern Recognition · Computer Science 2026-04-29 Ali Haider , Muhammad Salman Ali , Maryam Qamar , Tahir Khalil , Soo Ye Kim , Jihyong Oh , Enzo Tartaglione , Sung-Ho Bae

Fractal image compression, Culik's image compression and zerotree prediction coding of wavelet image decomposition coefficients succeed only because typical images being compressed possess a significant degree of self-similarity. Besides…

Computer Vision and Pattern Recognition · Computer Science 2016-11-15 Oleg Kiselyov , Paul Fisher

Recent advances in implicit neural representations (INRs) have shown significant promise in modeling visual signals for various low-vision tasks including image super-resolution (ISR). INR-based ISR methods typically learn continuous…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Yuxuan Jiang , Ho Man Kwan , Tianhao Peng , Ge Gao , Fan Zhang , Xiaoqing Zhu , Joel Sole , David Bull

In this work, we propose Image-to-Image Rectified Flow Reformulation (I2I-RFR), a practical plug-in reformulation that recasts standard I2I regression networks as continuous-time transport models. While pixel-wise I2I regression is simple,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-23 Satoshi Iizuka , Shun Okamoto , Kazuhiro Fukui