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Compression of the sign information of discrete cosine transform coefficients is an intractable problem in image compression schemes due to the equiprobable occurrence of the sign bits. To overcome this difficulty, we propose an efficient…

Information Theory · Computer Science 2024-05-22 Chihiro Tsutake , Keita Takahashi , Toshiaki Fujii

To efficiently compress the sign information of images, we address a sign retrieval problem for the block-wise discrete cosine transformation (DCT): reconstruction of the signs of DCT coefficients from their amplitudes. To this end, we…

Information Theory · Computer Science 2025-07-08 Fuma Ito , Chihiro Tsutake , Keita Takahashi , Toshiaki Fujii

A general method for recovering missing DCT coefficients in DCT-transformed images is presented in this work. We model the DCT coefficients recovery problem as an optimization problem and recover all missing DCT coefficients via linear…

Multimedia · Computer Science 2012-09-11 Shujun Li , Andreas Karrenbauer , Dietmar Saupe , C. -C. Jay Kuo

Compressive phase retrieval refers to the problem of recovering a structured $n$-dimensional complex-valued vector from its phase-less under-determined linear measurements. The non-linearity of measurements makes designing…

Information Theory · Computer Science 2020-06-11 Milad Bakhshizadeh , Arian Maleki , Shirin Jalali

Recovering unknown, missing, damaged, distorted, or lost information in DCT coefficients is a common task in multiple applications of digital image processing, including image compression, selective image encryption, and image…

Computer Vision and Pattern Recognition · Computer Science 2024-01-09 Ruiyuan Lin , Sheng Liu , Jun Jiang , Shujun Li , Chengqing Li , C. -C. Jay Kuo

In this paper we consider the following real-valued and finite dimensional specific instance of the 1-D classical phase retrieval problem. Let ${\bf F}\in\mathbb{R}^N$ be an $N$-dimensional vector, whose discrete Fourier transform has a…

Numerical Analysis · Mathematics 2016-04-26 Ben Leshem , Oren Raz , Ariel Jaffe , Boaz Nadler

JPEG compression adopts the quantization of Discrete Cosine Transform (DCT) coefficients for effective bit-rate reduction, whilst the quantization could lead to a significant loss of important image details. Recovering compressed JPEG…

Image and Video Processing · Electrical Eng. & Systems 2024-05-06 Mingyu Ouyang , Zhenzhong Chen

An orthogonal approximation for the 8-point discrete cosine transform (DCT) is introduced. The proposed transformation matrix contains only zeros and ones; multiplications and bit-shift operations are absent. Close spectral behavior…

Multimedia · Computer Science 2014-02-26 R. J. Cintra , F. M. Bayer

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

Due to the rapid development of World Wide Web (WWW) and imaging technology, more and more images are available in the Internet and stored in databases. Searching the related images by the querying image is becoming tedious and difficult.…

Computer Vision and Pattern Recognition · Computer Science 2010-08-20 Md. Saiful Islam , Md. Haider Ali

Discrete Cosine Transform (DCT) is very important in image compression. Classical 1-D DCT and 2-D DCT has time complexity O(NlogN) and O(N²logN) respectively. This paper presents a quantum DCT iteration, and constructs a quantum 1-D…

Quantum Physics · Physics 2007-05-23 Chao Yang Pang , Zheng Wei Zhou , Guang Can Guo

Due to its remarkable energy compaction properties, the discrete cosine transform (DCT) is employed in a multitude of compression standards, such as JPEG and H.265/HEVC. Several low-complexity integer approximations for the DCT have been…

Multimedia · Computer Science 2016-12-05 R. J. Cintra , F. M. Bayer , V. A. Coutinho , S. Kulasekera , A. Madanayake

To achieve higher accuracy in machine learning tasks, very deep convolutional neural networks (CNNs) are designed recently. However, the large memory access of deep CNNs will lead to high power consumption. A variety of hardware-friendly…

Image and Video Processing · Electrical Eng. & Systems 2021-06-25 Yubo Shi , Meiqi Wang , Siyi Chen , Jinghe Wei , Zhongfeng Wang

Typical convolutional networks are trained and conducted on RGB images. However, images are often compressed for memory savings and efficient transmission in real-world applications. In this paper, we explore methods for performing semantic…

Computer Vision and Pattern Recognition · Computer Science 2020-01-01 Shao-Yuan Lo , Hsueh-Ming Hang

Motivated by surveillance applications with wireless cameras or drones, we consider the problem of image retrieval over a wireless channel. Conventional systems apply lossy compression on query images to reduce the data that must be…

Information Theory · Computer Science 2020-10-21 Mikolaj Jankowski , Deniz Gunduz , Krystian Mikolajczyk

Self-attention is central to the success of Transformer architectures; however, learning the query, key, and value projections from random initialization remains challenging and computationally expensive. In this paper, we propose two…

Computer Vision and Pattern Recognition · Computer Science 2026-05-18 Hongyi Pan , Emadeldeen Hamdan , Xin Zhu , Ahmet Enis Cetin , Ulas Bagci

We present a Deep Image Compression neural network that relies on side information, which is only available to the decoder. We base our algorithm on the assumption that the image available to the encoder and the image available to the…

Computer Vision and Pattern Recognition · Computer Science 2020-07-30 Sharon Ayzik , Shai Avidan

Watermarking is a technique for hiding of data in a medium coverage so that its presence is not detectable by a human eye and is recoverable only by the authorized recipient. Two of the most important features of watermarked image are…

Multimedia · Computer Science 2022-11-18 Saeideh Nabipour , Javad Javidan , Majid Khorrami , Jila Azimzadeh

Discrete transforms play an important role in many signal processing applications, and low-complexity alternatives for classical transforms became popular in recent years. Particularly, the discrete cosine transform (DCT) has proven to be…

Signal Processing · Electrical Eng. & Systems 2020-06-23 D. R. Canterle , T. L. T. da Silveira , F. M. Bayer , R. J. Cintra

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
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