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In this paper, we introduce a low-complexity approximation for the discrete Tchebichef transform (DTT). The proposed forward and inverse transforms are multiplication-free and require a reduced number of additions and bit-shifting…

Methodology · Statistics 2015-02-03 P. A. M. Oliveira , R. J. Cintra , F. M. Bayer , S. Kulasekera , A. Madanayake

In this work, we present a comparison between two techniques of image compression. In the first case, the image is divided in blocks which are collected according to zig-zag scan. In the second one, we apply the Fast Cosine Transform to the…

Computer Vision and Pattern Recognition · Computer Science 2016-07-13 Mario Mastriani , Juliana Gambini

An orthogonal 16-point approximate discrete cosine transform (DCT) is introduced. The proposed transform requires neither multiplications nor bit-shifting operations. A fast algorithm based on matrix factorization is introduced, requiring…

Computer Vision and Pattern Recognition · Computer Science 2016-06-24 T. L. T. Silveira , R. S. Oliveira , F. M. Bayer , R. J. Cintra , A. Madanayake

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

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

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

Most existing approaches for image and video compression perform transform coding in the pixel space to reduce redundancy. However, due to the misalignment between the pixel-space distortion and human perception, such schemes often face the…

Image and Video Processing · Electrical Eng. & Systems 2025-05-23 Linfeng Qi , Zhaoyang Jia , Jiahao Li , Bin Li , Houqiang Li , Yan Lu

Video processing systems such as HEVC requiring low energy consumption needed for the multimedia market has lead to extensive development in fast algorithms for the efficient approximation of 2-D DCT transforms. The DCT is employed in a…

Multimedia · Computer Science 2015-01-14 U. S. Potluri , A. Madanayake , R. J. Cintra , F. M. Bayer , S. Kulasekera , A. Edirisuriya

Light field (LF) images containing information for multiple views have numerous applications, which can be severely affected by low-light imaging. Recent learning-based methods for low-light enhancement have some disadvantages, such as a…

Computer Vision and Pattern Recognition · Computer Science 2023-08-16 Shansi Zhang , Nan Meng , Edmund Y. Lam

The two-dimensional discrete cosine transform (DCT) can be found in the heart of many image compression algorithms. Specifically, the JPEG format uses a lossy form of compression based on that transform. Since the standardization of the…

Multimedia · Computer Science 2017-05-11 Stanislav Svoboda , David Barina

A low-complexity orthogonal multiplierless approximation for the 16-point discrete cosine transform (DCT) was introduced. The proposed method was designed to possess a very low computational cost. A fast algorithm based on matrix…

Information Theory · Computer Science 2016-06-20 T. L. T. da Silveira , F. M. Bayer , R. J. Cintra , S. Kulasekera , A. Madanayake , A. J. Kozakevicius

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 application of the context-adaptive entropy model significantly improves the rate-distortion (R-D) performance, in which hyperpriors and autoregressive models are jointly utilized to effectively capture the spatial redundancy of the…

Image and Video Processing · Electrical Eng. & Systems 2022-09-09 Haisheng Fu , Feng Liang

Forward adaptive transform coding of images requires a codebook of transform matrices from which the best transform can be chosen for each macroblock. Codebook construction is a problem of designing a quantizer for Karhunen-L\'{o}eve…

Information Theory · Computer Science 2024-07-11 Rashmi Boragolla , Pradeepa Yahampath

This paper introduced a matrix parametrization method based on the Loeffler discrete cosine transform (DCT) algorithm. As a result, a new class of eight-point DCT approximations was proposed, capable of unifying the mathematical formalism…

Image and Video Processing · Electrical Eng. & Systems 2022-08-01 D. F. G. Coelho , R. J. Cintra , F. M. Bayer , S. Kulasekera , A. Madanayake , P. A. C. Martinez , T. L. T. Silveira , R. S. Oliveira , V. S. Dimitrov

Scalable lossless video coding is an important aspect for many professional applications. Wavelet-based video coding decomposes an input sequence into a lowpass and a highpass subband by filtering along the temporal axis. The lowpass…

Image and Video Processing · Electrical Eng. & Systems 2023-02-03 Daniela Lanz , Christian Herbert , André Kaup

Transformers are slow to train on videos due to extremely large numbers of input tokens, even though many video tokens are repeated over time. Existing methods to remove such uninformative tokens either have significant overhead, negating…

Computer Vision and Pattern Recognition · Computer Science 2024-11-11 Rohan Choudhury , Guanglei Zhu , Sihan Liu , Koichiro Niinuma , Kris M. Kitani , László Jeni

Light field imaging is characterized by capturing brightness, color, and directional information of light rays in a scene. This leads to image representations with huge amount of data that require efficient coding schemes. In this paper,…

Computer Vision and Pattern Recognition · Computer Science 2019-02-01 Hadi Amirpour , Antonio Pinheiro , Manuela Pereira , Mohammad Ghanbari

Learned image compression has recently shown the potential to outperform the standard codecs. State-of-the-art rate-distortion (R-D) performance has been achieved by context-adaptive entropy coding approaches in which hyperprior and…

Image and Video Processing · Electrical Eng. & Systems 2021-01-01 Mohammad Akbari , Jie Liang , Jingning Han , Chengjie Tu