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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

The Discrete Cosine Transform (DCT) is widely used in lossy image and video compression schemes, e.g., JPEG and MPEG. In this paper, we show that the compression efficiency of the DCT is dependent on the edge directions within a block. In…

Multimedia · Computer Science 2014-11-18 Rui F. C. Guerreiro , Pedro M. Q. Aguiar

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

Even though rate-distortion optimization is a crucial part of traditional image and video compression, not many approaches exist which transfer this concept to end-to-end-trained image compression. Most frameworks contain static compression…

Image and Video Processing · Electrical Eng. & Systems 2022-01-06 Fabian Brand , Kristian Fischer , Alexander Kopte , André Kaup

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

The discrete cosine transform (DCT) is a central tool for image and video coding because it can be related to the Karhunen-Lo\`eve transform (KLT), which is the optimal transform in terms of retained transform coefficients and data…

Image and Video Processing · Electrical Eng. & Systems 2026-01-28 A. P. Radünz , L. Portella , R. S. Oliveira , F. M. Bayer , R. J. Cintra

Many images and videos are primarily processed by computer vision algorithms, involving only occasional human inspection. When this content requires compression before processing, e.g., in distributed applications, coding methods must…

Image and Video Processing · Electrical Eng. & Systems 2025-08-27 Samuel Fernández-Menduiña , Eduardo Pavez , Antonio Ortega

Data-dependent transforms are increasingly being incorporated into next-generation video coding systems such as AVM, a codec under development by the Alliance for Open Media (AOM), and VVC. To circumvent the computational complexities…

Image and Video Processing · Electrical Eng. & Systems 2025-05-22 Darukeesan Pakiyarajah , Eduardo Pavez , Antonio Ortega , Debargha Mukherjee , Onur Guleryuz , Keng-Shih Lu , Kruthika Koratti Sivakumar

In lossy image compression, the objective is to achieve minimal signal distortion while compressing images to a specified bit rate. The increasing demand for visual analysis applications, particularly in classification tasks, has emphasized…

Multimedia · Computer Science 2024-05-07 Yuefeng Zhang

Deep learning methods, in particular, trained Convolutional Neural Networks (CNN) have recently been shown to produce compelling results for single image Super-Resolution (SR). Invariably, a CNN is learned to map the Low Resolution (LR)…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 Tiantong Guo , Hojjat S. Mousavi , Vishal Monga

The emerging Learned Compression (LC) replaces the traditional codec modules with Deep Neural Networks (DNN), which are trained end-to-end for rate-distortion performance. This approach is considered as the future of image/video…

Image and Video Processing · Electrical Eng. & Systems 2024-07-08 Farhad Pakdaman , Moncef Gabbouj

Despite the unprecedented compression efficiency achieved by deep learned image compression (LIC), existing methods usually approximate the desired bitrate by adjusting a single quality factor for a given input image, which may compromise…

Image and Video Processing · Electrical Eng. & Systems 2024-09-04 Muchen Dong , Ming Lu , Zhan Ma

Transform coding to sparsify signal representations remains crucial in an image compression pipeline. While the Karhunen-Lo\`{e}ve transform (KLT) computed from an empirical covariance matrix $\bar{C}$ is theoretically optimal for a…

Image and Video Processing · Electrical Eng. & Systems 2022-03-03 Saghar Bagheri , Tam Thuc Do , Gene Cheung , Antonio Ortega

The discrete cosine transform (DCT) is a relevant tool in signal processing applications, mainly known for its good decorrelation properties. Current image and video coding standards -- such as JPEG and HEVC -- adopt the DCT as a…

Image and Video Processing · Electrical Eng. & Systems 2022-12-09 T. L. T. da Silveira , D. R. Canterle , D. F. G. Coelho , V. A. Coutinho , F. M. Bayer , R. J. Cintra

Neural compression has brought tremendous progress in designing lossy compressors with good rate-distortion (RD) performance at low complexity. Thus far, neural compression design involves transforming the source to a latent vector, which…

Information Theory · Computer Science 2025-07-15 Eric Lei , Hamed Hassani , Shirin Saeedi Bidokhti

Rate-distortion optimization (RDO) of codecs, where distortion is quantified by the mean-square error, has been a standard practice in image/video compression over the years. RDO serves well for optimization of codec performance for…

Image and Video Processing · Electrical Eng. & Systems 2021-05-03 Ogun Kirmemis , A. Murat Tekalp

The Karhunen-Lo\`eve transform (KLT) is often used for data decorrelation and dimensionality reduction. The KLT is able to optimally retain the signal energy in only few transform components, being mathematically suitable for image and…

Image and Video Processing · Electrical Eng. & Systems 2024-10-15 A. P. Radünz , T. L. T. da Silveira , F. M. Bayer , R. J. Cintra

In intra coding, Rate Distortion Optimization (RDO) is performed to achieve the optimal intra mode from a pre-defined candidate list. The optimal intra mode is also required to be encoded and transmitted to the decoder side besides the…

Image and Video Processing · Electrical Eng. & Systems 2022-04-11 Linwei Zhu , Yun Zhang , Na Li , Gangyi Jiang , Sam Kwong

This paper presents a novel method to determine rate-distortion optimized transform coefficients for efficient compression of videos generated from point clouds. The method exploits a generalized frequency selective extrapolation approach…

Image and Video Processing · Electrical Eng. & Systems 2022-06-27 Christian Herglotz , Nils Genser , André Kaup

The rate-distortion performance of neural image compression models has exceeded the state-of-the-art for non-learned codecs, but neural codecs are still far from widespread deployment and adoption. The largest obstacle is having efficient…

Computer Vision and Pattern Recognition · Computer Science 2023-11-23 David Minnen , Nick Johnston
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