English
Related papers

Related papers: DCT-like Transform for Image Compression Requires …

200 papers

This paper studies the cosine as basis function for the approximation of univariate and continuous functions without memory. This work studies a supervised learning to obtain the approximation coefficients, instead of using the Discrete…

Signal Processing · Electrical Eng. & Systems 2024-05-28 Ana I. Pérez-Neira , Marc Martinez-Gost , Miguel Ángel Lagunas

Discrete trigonometric transforms (DTTs), such as the DCT-2 and the DST-7, are widely used in video codecs for their balance between coding performance and computational efficiency. In contrast, data-dependent transforms, such as the…

Image and Video Processing · Electrical Eng. & Systems 2025-11-25 Samuel Fernández-Menduiña , Eduardo Pavez , Antonio Ortega , Tsung-Wei Huang , Thuong Nguyen Canh , Guan-Ming Su , Peng Yin

In recent years, the integration of advanced imaging techniques and deep learning methods has significantly advanced computer-aided diagnosis (CAD) systems for breast cancer detection and classification. Transformers, which have shown great…

Computer Vision and Pattern Recognition · Computer Science 2025-07-22 Mahtab Ranjbar , Mehdi Mohebbi , Mahdi Cherakhloo , Bijan Vosoughi. Vahdat

The design of the optimal inverse discrete cosine transform (IDCT) to compensate the quantization error is proposed for effective lossy image compression in this work. The forward and inverse DCTs are designed in pair in current image/video…

Multimedia · Computer Science 2021-02-02 Yifan Wang , Zhanxuan Mei , Chia-Yang Tsai , Ioannis Katsavounidis , C. -C. Jay Kuo

Two multiplierless algorithms are proposed for 4x4 approximate-DCT for transform coding in digital video. Computational architectures for 1-D/2-D realisations are implemented using Xilinx FPGA devices. CMOS synthesis at the 45 nm node…

Hardware Architecture · Computer Science 2014-05-05 F. M. Bayer , R. J. Cintra , A. Madanayake , U. S. Potluri

In this paper, a discrete LCT (DLCT) irrelevant to the sampling periods and without oversampling operation is developed. This DLCT is based on the well-known CM-CC-CM decomposition, that is, implemented by two discrete chirp multiplications…

Information Theory · Computer Science 2017-09-20 Soo-Chang Pei , Shih-Gu Huang

Vision Transformers (ViT) have achieved remarkable success in large-scale image recognition. They split every 2D image into a fixed number of patches, each of which is treated as a token. Generally, representing an image with more tokens…

Computer Vision and Pattern Recognition · Computer Science 2021-10-27 Yulin Wang , Rui Huang , Shiji Song , Zeyi Huang , Gao Huang

This paper presents stable, radix-2, completely recursive discrete cosine transformation algorithms DCT-I and DCT-III solely based on DCT-I, DCT-II, DCT-III, and DCT-IV having sparse and orthogonal factors. Error bounds for computing the…

Numerical Analysis · Mathematics 2015-08-10 Sirani M. Perera

Image compression is one of the essential methods of image processing. Its most prominent advantage is the significant reduction of image size allowing for more efficient storage and transfer. However, lossy compression is associated with…

Image and Video Processing · Electrical Eng. & Systems 2021-05-25 Patryk Najgebauer , Rafal Scherer , Leszek Rutkowski

This paper presents an efficient approach for multiplierless implementation for eight-point DCT approximation, which based on coordinate rotation digital computer (CORDIC) algorithm. The main design objective is to make critical path of…

Hardware Architecture · Computer Science 2011-11-01 Maxim Vashkevich , Marek Parfieniuk , Alexander Petrovsky

In image compression, classical block-based separable transforms tend to be inefficient when image blocks contain arbitrarily shaped discontinuities. For this reason, transforms incorporating directional information are an appealing…

Information Theory · Computer Science 2018-10-24 Giulia Fracastoro , Sophie Marie Fosson , Enrico Magli

Discrete transforms such as the discrete Fourier transform (DFT) or the discrete Hartley transform (DHT) furnish an indispensable tool in signal processing. The successful application of transform techniques relies on the existence of the…

Data Structures and Algorithms · Computer Science 2015-08-27 H. M. de Oliveira , R. J. Cintra , R. M. Campello de Souza

Computed tomography (CT) involves a patient's exposure to ionizing radiation. To reduce the radiation dose, we can either lower the X-ray photon count or down-sample projection views. However, either of the ways often compromises image…

Image and Video Processing · Electrical Eng. & Systems 2023-10-12 Wenjun Xia , Yongyi Shi , Chuang Niu , Wenxiang Cong , Ge Wang

Due to the increasing requirements for transmission of images in computer, mobile environments, the research in the field of image compression has increased significantly. Image compression plays a crucial role in digital image processing,…

Multimedia · Computer Science 2014-05-26 A. M. Raid , W. M. Khedr , M. A. El-dosuky , Wesam Ahmed

Exact reconstruction of an image from measurements of its Discrete Fourier Transform (DFT) typically requires all DFT coefficients to be available. However, incorporating the prior assumption that the image contains only integer values…

Numerical Analysis · Mathematics 2026-04-16 Howard W Levinson , Isaac Viviano

Cyclotomic fast Fourier transforms (CFFTs) are efficient implementations of discrete Fourier transforms over finite fields, which have widespread applications in cryptography and error control codes. They are of great interest because of…

Information Theory · Computer Science 2011-08-23 Xuebin Wu , Zhiyuan Yan

With transformer-based models and the pretrain-finetune paradigm becoming mainstream, the high storage and deployment costs of individual finetuned models on multiple tasks pose critical challenges. Delta compression attempts to lower the…

Computer Vision and Pattern Recognition · Computer Science 2025-03-11 Chenyu Huang , Peng Ye , Xiaohui Wang , Shenghe Zheng , Biqing Qi , Lei Bai , Wanli Ouyang , Tao Chen

Low-Dose computer tomography (LDCT) is an ideal alternative to reduce radiation risk in clinical applications. Although supervised-deep-learning-based reconstruction methods have demonstrated superior performance compared to conventional…

Image and Video Processing · Electrical Eng. & Systems 2024-05-24 Feng Wang , Renfang Wang , Hong Qiu

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

This paper presents the performance of different blockbased discrete cosine transform (DCT) algorithms for compressing color image. In this RGB component of color image are converted to YCbCr before DCT transform is applied. Y is luminance…

Computer Vision and Pattern Recognition · Computer Science 2012-08-16 Walaa M. Abd-Elhafiez , Wajeb Gharibi