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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

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

Nowadays, real-time video communication over the internet through video conferencing applications has become an invaluable tool in everyone's professional and personal life. This trend underlines the need for video coding algorithms that…

Multimedia · Computer Science 2015-10-05 Stamos Katsigiannis , Georgios Papaioannou , Dimitris Maroulis

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

Versatile Video Coding (VVC) is the next generation video coding standard finalized in July 2020. VVC introduces new coding tools enhancing the coding efficiency compared to its predecessor High Efficiency Video Coding (HEVC). These new…

Image and Video Processing · Electrical Eng. & Systems 2021-11-09 Ibrahim Farhat , Wassim Hamidouche , Adrien Grill , Daniel Ménard , Olivier Déforges

A low-complexity 8-point orthogonal approximate DCT is introduced. The proposed transform requires no multiplications or bit-shift operations. The derived fast algorithm requires only 14 additions, less than any existing DCT approximation.…

Multimedia · Computer Science 2017-02-06 F. M. Bayer , R. J. Cintra

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

Contemporary lossy image and video coding standards rely on transform coding, the process through which pixels are mapped to an alternative representation to facilitate efficient data compression. Despite impressive performance of…

Image and Video Processing · Electrical Eng. & Systems 2023-02-21 Lyndon R. Duong , Bohan Li , Cheng Chen , Jingning Han

A fast Discrete Cosine Transform (DCT) algorithm is introduced that can be of particular interest in image processing. The main features of the algorithm are regularity of the graph and very low arithmetic complexity. The 16-point version…

Information Theory · Computer Science 2022-12-29 Maxim Vashkevich , Alexander Petrovsky

In this work, we propose a two-stage video coding framework, as an extension of our previous one-stage framework in [1]. The two-stage frameworks consists two different dictionaries. Specifically, the first stage directly finds the sparse…

Multimedia · Computer Science 2015-02-13 Yuanyi Xue , Yi Zhou , Yao Wang

For the last few decades, the application of signal-adaptive transform coding to video compression has been stymied by the large computational complexity of matrix-based solutions. In this paper, we propose a novel parametric approach to…

Image and Video Processing · Electrical Eng. & Systems 2025-05-29 Amir Said , Xin Zhao , Marta Karczewicz , Hilmi E. Egilmez , Vadim Seregin , Jianle Chen

The proliferation of high resolution videos posts great storage and bandwidth pressure on cloud video services, driving the development of next-generation video codecs. Despite great progress made in neural video coding, existing approaches…

Computer Vision and Pattern Recognition · Computer Science 2024-07-11 Yueyu Hu , Chenhao Zhang , Onur G. Guleryuz , Debargha Mukherjee , Yao 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

Video compression has been investigated by means of analysis-synthesis, and more particularly by means of inpainting. The first part of our approach has been to develop the inpainting of DCT coefficients in an image. This has shown good…

Information Theory · Computer Science 2014-04-17 Matthieu Moinard , Isabelle Amonou , Pierre Duhamel , Patrice Brault

Recently, there has been a lot of research into tensor singular value decomposition (t-SVD) by using discrete Fourier transform (DFT) matrix. The main aims of this paper are to propose and study tensor singular value decomposition based on…

Computer Vision and Pattern Recognition · Computer Science 2019-02-11 Wen-Hao Xu , Xi-Le Zhao , Michael Ng

The discrete cosine transform (DCT) is the key step in many image and video coding standards. The 8-point DCT is an important special case, possessing several low-complexity approximations widely investigated. However, 16-point DCT…

Multimedia · Computer Science 2017-02-08 F. M. Bayer , R. J. Cintra , A. Edirisuriya , A. Madanayake

Stereoscopic video conferencing is still challenging due to the need to compress stereo RGB-D video in real-time. Though hardware implementations of standard video codecs such as H.264 / AVC and HEVC are widely available, they are not…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Yueyu Hu , Onur G. Guleryuz , Philip A. Chou , Danhang Tang , Jonathan Taylor , Rus Maxham , Yao Wang

Overfitted neural video codecs offer a decoding complexity orders of magnitude smaller than their autoencoder counterparts. Yet, this low complexity comes at the cost of limited compression efficiency, in part due to their difficulty…

Image and Video Processing · Electrical Eng. & Systems 2025-03-27 Thomas Leguay , Théo Ladune , Pierrick Philippe , Olivier Deforges

The latest video coding standard, Versatile Video Coding (VVC), achieves almost twice coding efficiency compared to its predecessor, the High Efficiency Video Coding (HEVC). However, achieving this efficiency (for intra coding) requires 31x…

Multimedia · Computer Science 2022-12-13 Farhad Pakdaman , Mohammad Ali Adelimanesh , Mahmoud Reza Hashemi

For adaptive streaming applications, low-complexity and accurate video complexity features are necessary to analyze the video content in real time, which ensures fast and compression-efficient video streaming without disruptions.…