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High-Order Integer Cosine Transform: Construction Method and Fast Algorithms for High-Resolution Image and Video Coding

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Abstract

Matrix method of constructing one-norm high-order integer cosine transform is proposed. The one-norm order-32 integer transform is constructed and its fast algorithms of low computing complexity are developed. Its computing complexity is 3.24 times less than that in the well-known algorithms and 15.6 times less than in standard H.265 and requires integer operations only. This transform is not only very close to the discrete cosine transform but also has excellent coding performance.

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Correspondence to L. O. Hnativ.

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Translated from Kibernetika i Sistemnyi Analiz, No. 4, July–August, 2017, pp. 141–154.

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Hnativ, L.O. High-Order Integer Cosine Transform: Construction Method and Fast Algorithms for High-Resolution Image and Video Coding. Cybern Syst Anal 53, 615–626 (2017). https://doi.org/10.1007/s10559-017-9964-0

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