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International Theoretical Science Journal
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UDC 681.391, 519.72
L.O. Hnativ1


1 V.M. Glushkov Institute of Cybernetics, National Academy
of Sciences of Ukraine, Kyiv, Ukraine

 levhnativ@gmail.com

DISCRETE COSINE SINE TRANSFORM TYPE VII AND FAST INTEGER
TRANSFORMS FOR INTRA PREDICTION IMAGE AND VIDEO CODING

Abstract. The author proposes a matrix method for constructing order N discrete cosine-sine transform type VII. Based on the method, two order-8 integer cosine-sine 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 computational complexity and their multiplicative complexity is 7 and 10.5 times less and require 23.3% and 44.2% less addition operations, respectively, as compared to the well-known algorithm of the discrete sine transform type VII. These transforms have higher coding gain performance for quality and compression ratio as compared to the well-known sine transforms. Algorithms for fast computing of 2D separable directional integer cosine and cosine-sine type VII adaptive transforms for intra-prediction with 8x8 chroma blocks are developed. These algorithms have low multiplicative complexity, which is 6.6 and 16.5 times less than that in the well-known algorithms.

Keywords: discrete cosine transform, discrete sine transform, discrete cosine sine transform, integer cosine transform, integer sine transform, integer cosine sine transform, scaled transform, separable directional adaptive transform, factorization, multiplicative complexity, intra prediction, video coding, H.265.


FULL TEXT

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