A new affine transformation: its theory and application to image coding

Author

Zhao, Yao ; Yuan, Baozong

Author_Institution

Inst. of Inf. Sci., Northern Jiaotong Univ., Beijing, China

Volume

8

Issue

3

fYear

1998

fDate

6/1/1998 12:00:00 AM

Firstpage

269

Lastpage

274

Abstract

The fractal image coding technique has attracted a degree of interest for its low bit rate. But the reconstructed image is of medium quality. This problem has prevented the fractal technique from being used practically. In order to improve the compression fidelity, a new affine transformation is proposed. Meanwhile, its contractivity requirement is analyzed, and the optimal parameters are derived using the least square method. The new affine transformation has been practically used in image coding. Experiments show that the PSNR can reach 28.7 dB at a compression ratio (CR) of 16.4 for the 256×256×8 “Lena” image. Comparison with other fractal coding schemes shows that the new affine transformation can improve the reconstructed image quality efficiently

Keywords

data compression; fractals; image coding; image reconstruction; least squares approximations; transform coding; PSNR; affine transformation; compression fidelity; compression ratio; contractivity; experiments; fractal image coding; least square method; optimal parameters; reconstructed image quality; Bit rate; Chromium; Extraterrestrial measurements; Fractals; Image coding; Image quality; Image reconstruction; Least squares methods; PSNR; Robustness;

fLanguage

English

Journal_Title

Circuits and Systems for Video Technology, IEEE Transactions on

Publisher

ieee

ISSN

1051-8215

Type

jour

DOI

10.1109/76.678621

Filename

678621