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Discrete trigonometric transformations, such as the discrete Fourier and cosine/sine transforms, are important in a variety of applications due to their useful properties. For example, one well-known property is the convolution theorem for…

Information Theory · Computer Science 2015-10-05 Xing Ouyang , Cleitus Antony , Fatima Gunning , Hongyu Zhang , Yong Liang Guan

We propose the deep progressive image compression using trit-planes (DPICT) algorithm, which is the first learning-based codec supporting fine granular scalability (FGS). First, we transform an image into a latent tensor using an analysis…

Image and Video Processing · Electrical Eng. & Systems 2022-05-09 Jae-Han Lee , Seungmin Jeon , Kwang Pyo Choi , Youngo Park , Chang-Su Kim

Directional transforms have recently raised a lot of interest thanks to their numerous applications in signal compression and analysis. In this letter, we introduce a generalization of the discrete Fourier transform, called steerable DFT…

Information Theory · Computer Science 2017-03-16 Giulia Fracastoro , Enrico Magli

Due to the factors like processing power limitations and channel capabilities images are often down sampled and transmitted at low bit rates resulting in a low resolution compressed image. High resolution images can be reconstructed from…

Computer Vision and Pattern Recognition · Computer Science 2011-03-01 Liyakathunisa , C. N . Ravi Kumar

With the increasing growth of technology and the entrance into the digital age, we have to handle a vast amount of information every time which often presents difficulties. So, the digital information must be stored and retrieved in an…

Multimedia · Computer Science 2012-08-15 Kamrul Hasan Talukder , Koichi Harada

This paper presents a novel method to determine rate-distortion optimized transform coefficients for efficient compression of videos generated from point clouds. The method exploits a generalized frequency selective extrapolation approach…

Image and Video Processing · Electrical Eng. & Systems 2022-06-27 Christian Herglotz , Nils Genser , André Kaup

This note is a very basic introduction to wavelets. It starts with an orthogonal basis of piecewise constant functions, constructed by dilation and translation. The ``wavelet transform'' maps each $f(x)$ to its coefficients with respect to…

Numerical Analysis · Mathematics 2025-10-20 Gilbert Strang

In recent years, Vision Transformer-based approaches for low-level vision tasks have achieved widespread success. Unlike CNN-based models, Transformers are more adept at capturing long-range dependencies, enabling the reconstruction of…

Computer Vision and Pattern Recognition · Computer Science 2024-11-26 Chih-Chung Hsu , Chia-Ming Lee , Yi-Shiuan Chou

Deep learning methods, in particular trained Convolutional Neural Networks (CNNs) have recently been shown to produce compelling state-of-the-art results for single image Super-Resolution (SR). Invariably, a CNN is learned to map the low…

Computer Vision and Pattern Recognition · Computer Science 2018-02-07 Tiantong Guo , Hojjat S. Mousavi , Vishal Monga

In this paper we present a new fast and deterministic algorithm for the inverse discrete cosine transform of type II that reconstructs the input vector $\mathbf{x}\in\mathbb{R}^{N}$, $N=2^{J-1}$, with short support of length $m$ from its…

Numerical Analysis · Mathematics 2020-02-19 Sina Bittens , Gerlind Plonka

JPEG is still the most widely used image compression algorithm. Most image compression algorithms only consider uncompressed original image, while ignoring a large number of already existing JPEG images. Recently, JPEG recompression…

Computer Vision and Pattern Recognition · Computer Science 2023-12-06 Jianghui Zhang , Yuanyuan Wang , Lina Guo , Jixiang Luo , Tongda Xu , Yan Wang , Zhi Wang , Hongwei Qin

Although it is traditionally believed that lossy image compression, such as JPEG compression, has a negative impact on the performance of deep neural networks (DNNs), it is shown by recent works that well-crafted JPEG compression can…

Computer Vision and Pattern Recognition · Computer Science 2025-03-24 Ahmed H. Salamah , Kaixiang Zheng , Yiwen Liu , En-Hui Yang

Compressed sensing has empowered quality image reconstruction with fewer data samples than previously though possible. These techniques rely on a sparsifying linear transformation. The Daubechies wavelet transform is a common sparsifying…

Image and Video Processing · Electrical Eng. & Systems 2021-06-17 Nicholas Dwork , Daniel O'Connor , Corey A. Baron , Ethan M. I. Johnson , Adam B. Kerr , John M. Pauly , Peder E. Z. Larson

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

Low dose computed tomography (LDCT) has attracted more and more attention in routine clinical diagnosis assessment, therapy planning, etc., which can reduce the dose of X-ray radiation to patients. However, the noise caused by low X-ray…

Image and Video Processing · Electrical Eng. & Systems 2021-07-06 Zhicheng Zhang , Lequan Yu , Xiaokun Liang , Wei Zhao , Lei Xing

Recent Transformer-based methods have achieved advanced performance in point cloud registration by utilizing advantages of the Transformer in order-invariance and modeling dependency to aggregate information. However, they still suffer from…

Computer Vision and Pattern Recognition · Computer Science 2021-12-20 Guangyan Chen , Meiling Wang , Yufeng Yue , Qingxiang Zhang , Li Yuan

As deep neural networks (DNNs) have been integrated into critical systems, several methods to attack these systems have been developed. These adversarial attacks make imperceptible modifications to an image that fool DNN classifiers. We…

Computer Vision and Pattern Recognition · Computer Science 2018-03-05 Aaditya Prakash , Nick Moran , Solomon Garber , Antonella DiLillo , James Storer

Discrete Wavelet Transform (DWT) has been widely explored to enhance the performance of image superresolution (SR). Despite some DWT-based methods improving SR by capturing fine-grained frequency signals, most existing approaches neglect…

Computer Vision and Pattern Recognition · Computer Science 2025-11-05 Peng Du , Hui Li , Han Xu , Paul Barom Jeon , Dongwook Lee , Daehyun Ji , Ran Yang , Feng Zhu

Image compression has been the subject of extensive research for several decades, resulting in the development of well-known standards such as JPEG, JPEG2000, and H.264/AVC. However, recent advancements in deep learning have led to the…

Image and Video Processing · Electrical Eng. & Systems 2024-02-20 Gaocheng Ma , Yinfeng Chai , Tianhao Jiang , Ming Lu , Tong Chen

Transformer is beneficial for image denoising tasks since it can model long-range dependencies to overcome the limitations presented by inductive convolutional biases. However, directly applying the transformer structure to remove noise is…

Computer Vision and Pattern Recognition · Computer Science 2023-04-14 Kangliang Liu , Xiangcheng Du , Sijie Liu , Yingbin Zheng , Xingjiao Wu , Cheng Jin
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