7.1.5.1 DCT Computation

Jridi, M., Meher, P.K.,
Scalable Approximate DCT Architectures for Efficient HEVC-Compliant Video Coding,
CirSysVideo(27), No. 8, August 2017, pp. 1815-1825.
IEEE DOI 1708
Computational complexity, Computer architecture, Discrete cosine transforms, Encoding, Hardware, Kernel, Video coding, DCT approximation, Discrete cosine transform (DCT), High, Efficiency, Video, Coding, (HEVC) BibRef

Ong, S.Y.[Sim-Ying], Li, S.J.[Shu-Jun], Wong, K.[Kok_Sheik], Tan, K.Y.[Kuan-Yew],
Fast recovery of unknown coefficients in DCT-transformed images,
SP:IC(58), No. 1, 2017, pp. 1-13.
Elsevier DOI 1710
DCT transform BibRef

Tablada, C.J., da Silveira, T.L.T., Cintra, R.J., Bayer, F.M.,
DCT approximations based on Chen's factorization,
SP:IC(58), No. 1, 2017, pp. 14-23.
Elsevier DOI 1710
Approximate DCT BibRef

Touil, L.[Lamjed], Gassoumi, I.[Ismail], Laajimi, R.[Radhouane], Ouni, B.[Bouraoui],
Efficient design of BinDCT in quantum-dot cellular automata (QCA) technology,
IET-IPR(12), No. 6, June 2018, pp. 1020-1030.
DOI Link 1805
BibRef

Chen, Z., Han, Q., Cham, W.,
Low-Complexity Order-64 Integer Cosine Transform Design and its Application in HEVC,
CirSysVideo(28), No. 9, September 2018, pp. 2407-2412.
IEEE DOI 1809
Discrete cosine transforms, Encoding, Kernel, Video coding, Complexity theory, Transform coding, ICT, DCT, transform coding, HEVC BibRef

Singh, N.[Neetu], Gupta, A.[Abhinav], Jain, R.C.[Roop C.],
Statistical characterisation of block variance and AC DCT coefficients for power law enhanced images,
IET-IPR(12), No. 11, November 2018, pp. 2128-2137.
DOI Link 1810
BibRef

Ishibashi, R., Suzuki, T., Kyochi, S., Kudo, H.,
Image Boundary Extension With Mean Value for Cosine-Sine Modulated Lapped/Block Transforms,
CirSysVideo(29), No. 1, January 2019, pp. 1-11.
IEEE DOI 1901
Discrete Fourier transforms, Convolution, Discrete cosine transforms, Prototypes, nonexpansive convolution BibRef

Ismail, Y.[Yasser], Abdelgawad, A.[Ahmed], El-Etriby, S.[Sherif],
High speed on-chip multiple cosine transform generator,
RealTimeIP(16), No. 2, April 2019, pp. 255-269.
WWW Link. 1904
BibRef

Zhang, Z.,
Convolution Theorems for Two-Dimensional LCT of Angularly Periodic Functions in Polar Coordinates,
SPLetters(26), No. 8, August 2019, pp. 1242-1246.
IEEE DOI 1908
Convolution, Fourier series, Fourier transforms, Optical fiber communication, Focusing, polar coordinates BibRef

Park, W., Lee, B., Kim, M.,
Fast Computation of Integer DCT-V, DCT-VIII, and DST-VII for Video Coding,
IP(28), No. 12, December 2019, pp. 5839-5851.
IEEE DOI 1909
Discrete cosine transforms, Kernel, Discrete Fourier transforms, Image coding, Encoding, Video coding, Discrete Fourier transform, JEM BibRef

Thakur, V.S.[Vikrant Singh], Thakur, K.[Kavita], Gupta, S.[Shubhrata], Rao, K.R.[Kamisetty R.],
Image-independent optimal non-negative integer bit allocation technique for the DCT-based image transform coders,
IET-IPR(14), No. 1, January 2020, pp. 11-24.
DOI Link 1912
BibRef

Masera, M., Masera, G., Martina, M.,
An Area-Efficient Variable-Size Fixed-Point DCT Architecture for HEVC Encoding,
CirSysVideo(30), No. 1, January 2020, pp. 232-242.
IEEE DOI 2002
discrete cosine transforms, matrix decomposition, video coding, high efficiency video coding, recursive structure, BibRef

Zheng, M., Zheng, J., Chen, Z., Wu, L., Yang, X., Ling, N.,
A Reconfigurable Architecture for Discrete Cosine Transform in Video Coding,
CirSysVideo(30), No. 3, March 2020, pp. 810-821.
IEEE DOI 2003
Discrete cosine transforms, Computer architecture, Hardware, Video coding, Standards, Symmetric matrices, DCT, HEVC, FPGA BibRef

Thomaz, L.A.[Lucas A.], Assunção, P.A.A.[Pedro A. A.], Tavora, L.M.N.[Luis M. N.], de Faria, S.M.M.[Sérgio M. M.],
Integer DCT Approximation With Arbitrary Size and Adjustable Precision,
SPLetters(27), 2020, pp. 965-969.
IEEE DOI 2007
Discrete cosine transforms, Matrix decomposition, Encoding, Transform coding, Standards, Reliability, Integer DCT, Triangular Decomposition BibRef

Mukherjee, D., Mukhopadhyay, S.,
Hardware Efficient Architecture for 2D DCT and IDCT Using Taylor-Series Expansion of Trigonometric Functions,
CirSysVideo(30), No. 8, August 2020, pp. 2723-2735.
IEEE DOI 2008
Discrete cosine transforms, Computer architecture, Hardware, Image coding, FPGA BibRef

Li, Y., Li, Y., Wey, I.C., Cheng, D., Yang, F., Zeng, X., Chen, J.,
Improved Low-Power Cost-Effective DCT Implementation Based on Markov Random Field and Stochastic Logic,
CirSysVideo(30), No. 10, October 2020, pp. 3803-3813.
IEEE DOI 2010
Discrete cosine transforms, Logic gates, Hardware, Adders, Circuit synthesis, Standards, Markov random fields, DCT BibRef

Suzuki, T.[Taizo], Kyochi, S.[Seisuke], Tanaka, Y.[Yuichi],
Regularity-Constrained Fast Sine Transforms,
SPLetters(29), 2022, pp. 1744-1748.
IEEE DOI 2208
Discrete cosine transforms, Transforms, Signal processing algorithms, Matrix decomposition, Image coding, rotation matrix BibRef

Wang, Y.[Yao], Mukherjee, D.[Debargha],
The Discrete Cosine Transform and Its Impact on Visual Compression: Fifty Years From Its Invention,
SPMag(40), No. 6, September 2023, pp. 14-17.
IEEE DOI 2310
Perspectives paper. BibRef

Lin, R.[Ruiyuan], Liu, S.[Sheng], Jiang, J.[Jun], Li, S.J.[Shu-Jun], Li, C.Q.[Cheng-Qing], Kuo, C.C.J.[C.C. Jay],
Recovering sign bits of DCT coefficients in digital images as an optimization problem,
JVCIR(98), 2024, pp. 104045.
Elsevier DOI 2402
Discrete cosine transform (DCT), Sign bit recovery, Optimization, Integer programming, Linear programming, Selective encryption BibRef

Ouyang, M.Y.[Ming-Yu], Chen, Z.Z.[Zhen-Zhong],
JPEG Quantized Coefficient Recovery via DCT Domain Spatial-Frequential Transformer,
IP(33), 2024, pp. 3385-3398.
IEEE DOI 2406
Discrete cosine transforms, Transform coding, Image coding, Quantization (signal), Transformers, Q-factor, Task analysis, frequency domain learning BibRef

Li, X.Y.[Xin-Yu], Zhang, Y.[Yanyi], Yuan, J.B.[Jian-Bo], Lu, H.L.[Han-Lin], Zhu, Y.[Yibo],
Discrete Cosin TransFormer: Image Modeling From Frequency Domain,
WACV23(5457-5467)
IEEE DOI 2302
Wavelet domain, Frequency-domain analysis, Computational modeling, Semantics, Refining, Transform coding, Low-level and physics-based vision BibRef

Tsutake, C.[Chihiro], Takahashi, K.[Keita], Fujii, T.[Toshiaki],
An Efficient Compression Method for Sign Information of DCT Coefficients Via Sign Retrieval,
ICIP21(2024-2028)
IEEE DOI 2201
Image coding, Signal restoration, Discrete Fourier transforms, Rate-distortion, Decoding, Discrete cosine transforms, convex optimization BibRef

Alberti, M.[Michele], Botros, A.[Angela], Schutz, N.[Narayan], Ingold, R.[Rolf], Liwicki, M.[Marcus], Seuret, M.[Mathias],
Trainable Spectrally Initializable Matrix Transformations in Convolutional Neural Networks,
ICPR21(8204-8211)
IEEE DOI 2105
Program processors, Discrete Fourier transforms, Transforms, Documentation, Discrete cosine transforms, Convolutional neural networks BibRef

Deguerre, B.[Benjamin], Chatelain, C.[Clement], Gasso, G.[Gilles],
Object Detection in the DCT Domain: is Luminance the Solution?,
ICPR21(2627-2634)
IEEE DOI 2105
Performance evaluation, Image coding, Transform coding, Deep architecture, Object detection, Feature extraction, Real-time systems BibRef

Battiato, S.[Sebastiano], Giudice, O.[Oliver], Guarnera, F.[Francesco], Puglisi, G.[Giovanni],
In-Depth DCT Coefficient Distribution Analysis for First Quantization Estimation,
MMForWild20(573-587).
Springer DOI 2103
BibRef

Xu, K., Qin, M., Sun, F., Wang, Y., Chen, Y., Ren, F.,
Learning in the Frequency Domain,
CVPR20(1737-1746)
IEEE DOI 2008
Frequency-domain analysis, Discrete cosine transforms, Task analysis, Computational modeling, Bandwidth, Neural networks BibRef