Journal
SIGNAL PROCESSING-IMAGE COMMUNICATION
Volume 24, Issue 10, Pages 791-802Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.image.2009.08.002
Keywords
Biorthogonal transform; Image compression; JPEG algorithm; All phase biorthogonal transform (APBT); Dual biorthogonal basis vectors; Walsh transform (WT); Discrete cosine transform (DCT); Inverse discrete cosine transform (IDCT); Peak signal to noise ratio (PSNR)
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Funding
- Specialized Research Fund for the Doctoral Program of Higher Education of China [20060056051]
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This paper proposes new concepts of the all phase biorthogonal transform (APBT) and the dual biorthogonal basis vectors. In the light of all phase digital filtering theory, three kinds of all phase biorthogonal transforms based on the Walsh transform (WT), the discrete cosine transform (DCT) and the inverse discrete cosine transform (IDCT) are proposed. The matrices of APBT based on WT, DCT and IDCT are deduced, which can be used in image compression instead of the conventional DCT. Compared with DCT-based JPEG (DCT-JPEG) image compression algorithm at the same bit rates, the PSNR and visual quality of the reconstructed images using these transforms are approximate to DCT, outgoing DCT-JPEG at low bit rates especially. But the advantage is that the quantization table is simplified and the transform coefficients can be quantized uniformly. Therefore, the computing time becomes shorter and the hardware implementation easier. (C) 2009 Elsevier B.V. All rights reserved.
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