An Optimized Quantization Technique for Image Compression Using Discrete Tchebichef Transform

Abstract

Discrete Tchebichef transform (DTT) has been utilized to improve the reconstruction quality of the traditional methods in image compression. Although DTT has the effective capability of energy concentration and ease of computation, not been exploited polynomials in orthogonal transform as compared with discrete cosine transform (DCT). This paper proposes an efficient lossy compression based DTT to produce better quality reconstructed image for the desired compression ratio. We combine soft decision quantization (SDQ) to design optimal quantization table and to approximate the rate-distortion for the purpose of the reconstruction quality. Compared with DCT under the scheme of JPEG baseline system, experimental results show that the proposed algorithm is of greater reconstruction image quality when the bit ratio exceeds 0.5 bpp. The bit ratio is decreased by 0.25, 0.49, 0.20 bpp, respectively when peak signal-to-noise-ratio (PSNR) is 35, 40, 45 dB. Meanwhile, they are similar on the elapsed time in encoding and decoding.