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DCT Approximations Based on Chen's Factorization

2022-07-24 02:31:28
C. J. Tablada, T. L. T. da Silveira, R. J. Cintra, F. M. Bayer
arXiv_CV
     
Abstract

In this paper, two 8-point multiplication-free DCT approximations based on the Chen's factorization are proposed and their fast algorithms are also derived. Both transformations are assessed in terms of computational cost, error energy, and coding gain. Experiments with a JPEG-like image compression scheme are performed and results are compared with competing methods. The proposed low-complexity transforms are scaled according to Jridi-Alfalou-Meher algorithm to effect 16- and 32-point approximations. The new sets of transformations are embedded into an HEVC reference software to provide a fully HEVC-compliant video coding scheme. We show that approximate transforms can outperform traditional transforms and state-of-the-art methods at a very low complexity cost.

Abstract (translated)

URL

https://arxiv.org/abs/2207.11638

PDF

https://arxiv.org/pdf/2207.11638.pdf

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