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Graph-based Transform is one of the recent transform coding methods which has been used successfully in the state-of-art data decorrelation applications. In this paper, we propose a Graph-based Transform (GT) for audio compression. Hence,…

Audio and Speech Processing · Electrical Eng. & Systems 2019-04-16 Majid Farzaneh , Rahil Mahdian , Mohammad Asgari

The recent surge of interest in Deep Neural Networks (DNNs) has led to increasingly complex networks that tax computational and memory resources. Many DNNs presently use 16-bit or 32-bit floating point operations. Significant performance…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-23 Zachariah Carmichael , Hamed F. Langroudi , Char Khazanov , Jeffrey Lillie , John L. Gustafson , Dhireesha Kudithipudi

Classification of texture pattern is one of the most important problems in pattern recognition. In this paper, we present a classification method based on the Discrete Cosine Transform (DCT) coefficients of texture image. As DCT works on…

Artificial Intelligence · Computer Science 2007-05-23 Golam Sorwar , Ajith Abraham

Recent video codecs such as VVC and AV1 apply a Non-rectangular (NR) partitioning to combine prediction signals using a smooth blending around the boundary, followed by a rectangular transform on the whole block. The NR signal…

Image and Video Processing · Electrical Eng. & Systems 2025-12-01 Priyanka Das , Tim Classen , Mathias Wien

We introduce a general tensor model suitable for data analytic tasks for {\em heterogeneous} datasets, wherein there are joint low-rank structures within groups of observations, but also discriminative structures across different groups. To…

Machine Learning · Statistics 2022-10-04 Davoud Ataee Tarzanagh , George Michailidis

This study aims to improve photon counting CT (PCCT) image resolution using denoising diffusion probabilistic models (DDPM). Although DDPMs have shown superior performance when applied to various computer vision tasks, their effectiveness…

Computer Vision and Pattern Recognition · Computer Science 2024-08-29 Chuang Niu , Christopher Wiedeman , Mengzhou Li , Jonathan S Maltz , Ge Wang

Linear block transform coding remains a fundamental component of image and video compression. Although the Discrete Cosine Transform (DCT) is widely employed in all current compression standards, its sub-optimality has sparked ongoing…

Image and Video Processing · Electrical Eng. & Systems 2024-11-28 Alessandro Gnutti , Chia-Hao Kao , Wen-Hsiao Peng , Riccardo Leonardi

Diffusion-based image compression methods have achieved notable progress, delivering high perceptual quality at low bitrates. However, their practical deployment is hindered by significant inference latency and heavy computational overhead,…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Yiwen Jia , Hao Wei , Yanhui Zhou , Chenyang Ge

Transformers are very powerful tools for a variety of tasks across domains, from text generation to image captioning. However, transformers require substantial amounts of training data, which is often a challenge in biomedical settings,…

Computer Vision and Pattern Recognition · Computer Science 2023-07-04 Andrew Kean Gao

We discuss efficient algorithms for the accurate forward and reverse evaluation of the discrete Fourier-Bessel transform (dFBT) as numerical tools to assist in the 2D polar convolution of two radially symmetric functions, relevant, e.g., to…

Computational Physics · Physics 2016-11-08 O. Melchert , M. Wollweber , B. Roth

This paper examines finite field trigonometry as a tool to construct trigonometric digital transforms. In particular, by using properties of the k-cosine function over GF(p), the Finite Field Discrete Cosine Transform (FFDCT) is introduced.…

Discrete Mathematics · Computer Science 2020-05-21 M. M. Campello de Souza , H. M. de Oliveira , R. M. Campello de Souza , M. M. Vasconcelos

Image steganography is the art of hiding information into a cover image. This paper presents a novel technique for Image steganography based on Block-DCT, where DCT is used to transform original image (cover image) blocks from spatial…

Multimedia · Computer Science 2010-07-15 A. Nag , S. Biswas , D. Sarkar , P. P. Sarkar

In recent years, tremendous efforts have been made on document image rectification, but existing advanced algorithms are limited to processing restricted document images, i.e., the input images must incorporate a complete document. Once the…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Hao Feng , Shaokai Liu , Jiajun Deng , Wengang Zhou , Houqiang Li

Image compression has been a frequent topic of presentations at ADASS. Compression is often viewed as just a technique to fit more data into a smaller space. Rather, the packing of data - its "density" - affects every facet of local data…

Instrumentation and Methods for Astrophysics · Physics 2009-10-21 Robert L. Seaman , Richard L. White , William D. Pence

This paper introduces a unified regression framework based on the Lagrange formalism, demonstrating how polynomial and logistic regression can all be formulated within a common variational (Lagrangian formalism) structure. Within this…

Signal Processing · Electrical Eng. & Systems 2026-05-12 Marc Martinez-Gost , Ana I. Perez Neira , Miguel Angel Lagunas

This paper introduces an efficient algorithm for computing the best approximation of a given matrix onto the intersection of linear equalities, inequalities and the doubly nonnegative cone (the cone of all positive semidefinite matrices…

Optimization and Control · Mathematics 2018-03-20 Ying Cui , Defeng Sun , Kim-Chuan Toh

Our aim was to enhance visual quality and quantitative accuracy of dynamic positron emission tomography (PET)uptake images by improved image reconstruction, using sophisticated sparse penalty models that incorporate both 2D spatial+1D…

Computer Vision and Pattern Recognition · Computer Science 2019-06-17 Ida Häggström , Yizun Lin , Si Li , Andrzej Krol , Yuesheng Xu , C. Ross Schmidtlein

Discrete orthogonal matrices have several applications in information technology, such as in coding and cryptography. It is often challenging to generate discrete orthogonal matrices. A common approach widely in use is to discretize…

Discrete Mathematics · Computer Science 2021-08-26 Ka-Hou Chan , Wei Ke , Sio-Kei Im

This paper exploits the feature extraction capabilities of the discrete cosine transform (DCT) together with an illumination normalization approach in the logarithm domain that increase its robustness to variations in facial geometry and…

Computer Vision and Pattern Recognition · Computer Science 2015-06-30 Arindam Kar , Debotosh Bhattacharjee , Dipak Kumar Basu , Mita Nasipuri , Mahantapas Kundu

Discrete transforms such as the discrete Fourier transform (DFT) and the discrete Hartley transform (DHT) are important tools in numerical analysis. The successful application of transform techniques relies on the existence of efficient…

Numerical Analysis · Computer Science 2015-02-06 H. M. de Oliveira , R. J. Cintra , R. M. Campello de Souza