Integer modified sine–cosine transforms type VII. A construction methodand separable directional adaptive transforms for intra prediction with 8x8 chroma blocks in image/video coding / Hnativ, / Luts. (2021)
Ukrainian

English  Cybernetics and Systems Analysis   /     Issue (2021, 57 (1))

Hnativ L.O., Luts V.K.
Integer modified sine–cosine transforms type VII. A construction methodand separable directional adaptive transforms for intra prediction with 8x8 chroma blocks in image/video coding

A matrix method for constructing a modified order-8 integer sine-cosine transform type VII is proposed. Based on the method, two order-8 integer modified sine-cosine transforms type VII are constructed and algorithms for fast computing of these transforms are developed, which require only integer operations. These algorithms are of low multiplicative complexity, which is 7 and 10.5 times less, and they require 23.3 and 44.2% less additional operations than the well-known algorithm of the discrete sine transform type VII. These transforms have higher coding gain performance for quality and compression ratio compared to the well-known sine transforms. Algorithms for fast computing of 2D separate directional integer cosine and modified sine-cosine type VII adaptive transforms for intra prediction with 8 × 8 chroma blocks are developed. These algorithms have low multiplicative complexity, which is 6.6 and 16.5 times less than that of the well-known algorithms. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords: discrete cosine transform, discrete sine transform, discrete sine-cosine transform, H.264, H.265, integer cosine transform, integer modified sine-cosine transform, integer sine transform, intra prediction, multiplicative complexity, scaled transform, separate directional adaptive transform, video coding, Fast response computer systems, Image coding, Adaptive transform, Construction method, Discrete sine transforms, Integer operations, Intra Prediction, Matrix methods, Multiplicative complexity, Sine transforms, Cosine transforms


Cite:
Hnativ L.O., Luts V.K. (2021). Integer modified sine–cosine transforms type VII. A construction methodand separable directional adaptive transforms for intra prediction with 8x8 chroma blocks in image/video coding. Cybernetics and Systems Analysis, 57 (1), 178–190. doi: https://doi.org/10.1007/s10559-021-00339-9 http://jnas.nbuv.gov.ua/article/UJRN-0001199867 [In Ukrainian].


 

Institute of Information Technologies of VNLU


+38 (044) 525-36-24
Ukraine, 03039, Kyiv, Holosiivskyi Ave, 3, room 209