# DCT-like Transform for Image Compression Requires 14 Additions Only

**Authors:** F. M. Bayer, R. J. Cintra

arXiv: 1702.00817 · 2017-02-06

## TL;DR

This paper introduces a low-complexity 8-point orthogonal approximate DCT that requires only 14 additions, outperforming existing algorithms and the signed DCT in several image compression scenarios.

## Contribution

It presents a novel, multiplication-free DCT approximation with a highly efficient 14-addition algorithm, improving computational simplicity and performance.

## Key findings

- Requires only 14 additions, less than existing methods.
- Can outperform signed DCT in image compression.
- Offers a low-complexity alternative for practical applications.

## Abstract

A low-complexity 8-point orthogonal approximate DCT is introduced. The proposed transform requires no multiplications or bit-shift operations. The derived fast algorithm requires only 14 additions, less than any existing DCT approximation. Moreover, in several image compression scenarios, the proposed transform could outperform the well-known signed DCT, as well as state-of-the-art algorithms.

## Full text

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## Figures

11 figures with captions in the complete paper: https://tomesphere.com/paper/1702.00817/full.md

## References

10 references — full list in the complete paper: https://tomesphere.com/paper/1702.00817/full.md

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Source: https://tomesphere.com/paper/1702.00817