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This paper proposes a new two-step procedure for sparse-view tomographic image reconstruction. It is called RISING, since it combines an early-stopped Rapid Iterative Solver with a subsequent Iteration Network-based Gaining step. So far,…

Numerical Analysis · Mathematics 2022-01-25 Davide Evangelista , Elena Morotti , Elena Loli Piccolomini

Learned progressive image compression is gaining momentum as it allows improved image reconstruction as more bits are decoded at the receiver. We propose a progressive image compression method in which an image is first represented as a…

Computer Vision and Pattern Recognition · Computer Science 2025-01-13 Alberto Presta , Enzo Tartaglione , Attilio Fiandrotti , Marco Grangetto , Pamela Cosman

Advancements in text-to-image generative AI with large multimodal models are spreading into the field of image compression, creating high-quality representation of images at extremely low bit rates. This work introduces novel components to…

Image and Video Processing · Electrical Eng. & Systems 2025-06-02 Cheng-Lin Wu , Hyomin Choi , Ivan V. Bajić

We examine two questions regarding Fourier frequencies for a class of iterated function systems (IFS). These are iteration limits arising from a fixed finite families of affine and contractive mappings in $\br^d$, and the ``IFS'' refers to…

Functional Analysis · Mathematics 2007-10-25 Dorin E. Dutkay , Palle E. T. Jorgensen

Iterated function systems (IFS) provide a powerful method for constructing fractals and modeling complex structures. This paper develops the notion of a dynamical system of IFS to study how an initial IFS evolves over time. We construct a…

General Mathematics · Mathematics 2024-10-11 Praveen M

We propose an embarrassingly simple method -- instance-aware repeat factor sampling (IRFS) to address the problem of imbalanced data in long-tailed object detection. Imbalanced datasets in real-world object detection often suffer from a…

Computer Vision and Pattern Recognition · Computer Science 2023-11-14 Burhaneddin Yaman , Tanvir Mahmud , Chun-Hao Liu

In this paper, we introduce a construction of hidden variable recurrent fractal interpolation functions (HVRFIF) with four function contractivity factors. In the fractal interpolation theory, it is very important to ensure flexibility and…

Dynamical Systems · Mathematics 2019-06-26 Chol-Hui Yun

We study locally constant skew-product maps over full shifts of finite symbols with arbitrary compact metric spaces as fiber spaces. We introduce a new criterion to determine the density of leaves of the strong unstable (and strong stable)…

Dynamical Systems · Mathematics 2025-07-09 Pablo G. Barrientos , Joel Angel Cisneros

We propose a set of iterative regularization algorithms for the TV-Stokes model to restore images from noisy images with Gaussian noise. These are some extensions of the iterative regularization algorithm proposed for the classical…

Numerical Analysis · Mathematics 2020-09-28 Bin Wu , Leszek Marcinkowski , Xue-Cheng Tai , Talal Rahman

Image compression is a method to remove spatial redundancy between adjacent pixels and reconstruct a high-quality image. In the past few years, deep learning has gained huge attention from the research community and produced promising image…

Image and Video Processing · Electrical Eng. & Systems 2021-09-07 Khawar Islam , L. Minh Dang , Sujin Lee , Hyeonjoon Moon

Image Quality Assessment (IQA) plays a vital role in applications such as image compression, restoration, and multimedia streaming. However, existing metrics often struggle to generalize across diverse image types - particularly between…

Image and Video Processing · Electrical Eng. & Systems 2025-08-26 Mohtashim Baqar , Sian Lun Lau , Mansoor Ebrahim

Closed-loop architecture is widely utilized in automatic control systems and attain distinguished performance. However, classical compressive sensing systems employ open-loop architecture with separated sampling and reconstruction units.…

Machine Learning · Computer Science 2022-07-21 Honggui Li , Maria Trocan , Dimitri Galayko , Mohamad Sawan

Compression technology is essential for efficient image transmission and storage. With the rapid advances in deep learning, images are beginning to be used for image recognition as well as for human vision. For this reason, research has…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Takahiro Shindo , Taiju Watanabe , Kein Yamada , Hiroshi Watanabe

Learning-based lossless image compression employs pixel-based or subimage-based auto-regression for probability estimation, which achieves desirable performances. However, the existing works only consider context dependencies in one…

Image and Video Processing · Electrical Eng. & Systems 2025-03-17 Tiantian Li , Qunbing Xia , Yue Li , Ruixiao Guo , Gaobo Yang

Scalable coding, which can adapt to channel bandwidth variation, performs well in today's complex network environment. However, most existing scalable compression methods face two challenges: reduced compression performance and insufficient…

Image and Video Processing · Electrical Eng. & Systems 2024-12-03 Yongqi Zhai , Yi Ma , Luyang Tang , Wei Jiang , Ronggang Wang

A novel algorithm for tunable compression to within the precision of reproduction targets, or storage, is proposed. The new algorithm is termed the `Perceptron Algorithm', which utilises simple existing concepts in a novel way, has multiple…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Vassilios S. Vassiliadis

In this paper we present a systematic study of continuous local iterated function systems. We prove local iterated function systems admit compact attractors and, under a contractivity assumption, construct their code space and present an…

Dynamical Systems · Mathematics 2026-01-13 Elismar R. Oliveira , Paulo Varandas

For any continuous probability measure $\mu$ on ${\mathbb R}$ we construct an IFS with probabilities having $\mu$ as its unique measure-attractor.

Probability · Mathematics 2015-06-03 Örjan Stenflo

This paper presents a novel scheme to efficiently compress Light Detection and Ranging~(LiDAR) point clouds, enabling high-precision 3D scene archives, and such archives pave the way for a detailed understanding of the corresponding 3D…

Computer Vision and Pattern Recognition · Computer Science 2026-01-29 Akihiro Kuwabara , Sorachi Kato , Toshiaki Koike-Akino , Takuya Fujihashi

In constraining iterative processes, the algorithmic operator of the iterative process is pre-multiplied by a constraining operator at each iterative step. This enables the constrained algorithm, besides solving the original problem, also…

Optimization and Control · Mathematics 2013-07-09 Yair Censor , Ioana Pantelimon , Constantin Popa