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In this paper novel classes of 2-D vector-valued spatial domain wavelets are defined, and their properties given. The wavelets are 2-D generalizations of 1-D analytic wavelets, developed from the Generalized Cauchy-Riemann equations and…

Statistics Theory · Mathematics 2010-05-10 S. C. Olhede , G. Metikas

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

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

Dilated Convolutions have been shown to be highly useful for the task of image segmentation. By introducing gaps into convolutional filters, they enable the use of larger receptive fields without increasing the original kernel size. Even…

Computer Vision and Pattern Recognition · Computer Science 2019-03-20 Thomas Ziegler , Manuel Fritsche , Lorenz Kuhn , Konstantin Donhauser

In this paper, we present methods for image compression on the basis of eigenvalue decomposition of normal matrices. The proposed methods are convenient and self-explanatory, requiring fewer and easier computations as compared to some…

Multimedia · Computer Science 2015-06-30 E. Kokabifar , G. B. Loghmani , A. Latif

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

In this paper orthogonal multifilters for astronomical image processing are presented. We obtained new orthogonal multifilters based on the orthogonal wavelet of Haar and Daubechies. Recently, multiwavelets have been introduced as a more…

Computer Vision and Pattern Recognition · Computer Science 2021-08-20 Vasil Kolev

Wavelet transformation stands as a cornerstone in modern data analysis and signal processing. Its mathematical essence is an invertible transformation that discerns slow patterns from fast ones in the frequency domain. Such an invertible…

Machine Learning · Computer Science 2022-01-28 Shuo-Hui Li

Deep learning based image compression has recently witnessed exciting progress and in some cases even managed to surpass transform coding based approaches that have been established and refined over many decades. However, state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2020-08-25 Leonhard Helminger , Abdelaziz Djelouah , Markus Gross , Christopher Schroers

This work presents an independent reproducibility study of a lossy image compression technique that integrates singular value decomposition (SVD) and wavelet difference reduction (WDR). The original paper claims that combining SVD and WDR…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Alena Makarova

Wavelet analysis and compression tools are reviewed and different applications to study MHD and plasma turbulence are presented. We introduce the continuous and the orthogonal wavelet transform and detail several statistical diagnostics…

Plasma Physics · Physics 2015-10-21 Marie Farge , Kai Schneider

Reversible data hiding in encrypted images (RDHEI) receives growing attention because it protects the content of the original image while the embedded data can be accurately extracted and the original image can be reconstructed lossless. To…

Multimedia · Computer Science 2021-10-19 Zhaoxia Yin , Yinyin Peng , Youzhi Xiang

The Internet has turned the entire world into a small village;this is because it has made it possible to share millions of images and videos. However, sending and receiving a huge amount of data is considered to be a main challenge. To…

Computer Vision and Pattern Recognition · Computer Science 2023-03-24 Hassan Mohamed Muhi-Aldeen , Asma A. Abdulrahman , Jabbar Abed Eleiwy , Fouad S. Tahir , Yurii Khlaponin

We propose a new wavelet-based method for density estimation when the data are size-biased. More specifically, we consider a power of the density of interest, where this power exceeds 1/2. Warped wavelet bases are employed, where warping is…

Methodology · Statistics 2022-12-08 Michel H. Montoril , Aluísio Pinheiro , Brani Vidakovic

We propose an image-based flow decomposition developed from the two-dimensional (2D) tensor empirical wavelet transform (EWT) (Gilles 2013). The idea is to decompose the instantaneous flow data, or its visualisation, adaptively according to…

Fluid Dynamics · Physics 2020-12-24 Jie Ren , Xuerui Mao , Song Fu

Resampling detection plays an important role in identifying image tampering, such as image splicing. Currently, the resampling detection is still difficult in recompressed images, which are yielded by applying resampling followed by…

Computer Vision and Pattern Recognition · Computer Science 2019-05-13 Gang Cao , Antao Zhou , Xianglin Huang , Gege Song , Lifang Yang , Yonggui Zhu

Weak gravitational lensing, resulting from the bending of light due to the presence of matter along the line of sight, is a potent tool for exploring large-scale structures, particularly in quantifying non-Gaussianities. It stands as a…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-17 Vilasini Tinnaneri Sreekanth , Sandrine Codis , Alexandre Barthelemy , Jean-Luc Starck

In this paper, we propose an image compression algorithm called Microshift. We employ an algorithm hardware co-design methodology, yielding a hardware-friendly compression approach with low power consumption. In our method, the image is…

Image and Video Processing · Electrical Eng. & Systems 2021-04-21 Bo Zhang , Pedro V. Sander , Chi-Ying Tsui , Amine Bermak

Low-light images suffer from complex degradation, and existing enhancement methods often encode all degradation factors within a single latent space. This leads to highly entangled features and strong black-box characteristics, making the…

Computer Vision and Pattern Recognition · Computer Science 2025-07-17 Shuangli Du , Siming Yan , Zhenghao Shi , Zhenzhen You , Lu Sun

A common task in single particle electron cryomicroscopy (cryo-EM) is the rigid alignment of images and/or volumes. In the context of images, a rigid alignment involves estimating the inner-product between one image of $N\times N$ pixels…

Numerical Analysis · Mathematics 2022-12-07 Aaditya V. Rangan