A fast efficient computation of cubic-spline interpolation in image codec

Author

Wang, Lung-Jen ; Hsieh, Wen-Shyong ; Truong, Trieu-Kien ; Reed, Irving S. ; Cheng, T.C.

Author_Institution

Dept. of Comput. Sci. & Eng., Nat. Sun Yat-Sen Univ., Kaohsiung, Taiwan

Volume

49

Issue

6

fYear

2001

fDate

6/1/2001 12:00:00 AM

Firstpage

1189

Lastpage

1197

Abstract

It is shown that cubic-spline interpolation (CSI) can be performed by a fast and efficient computation for the encoding and decoding processes of image coding. It requires substantially fewer additions and multiplications than the original CSI algorithm. Furthermore, a new type of overlap-save scheme is utilized to solve the boundary-condition problems that occur between two neighboring subimages in the actual image. It is also shown that a very efficient nine-point Winograd discrete Fourier transform (WDFT) can be used to replace the fast Fourier transform (FFT) needed to implement the CSI scheme in the modified JPEG encoder. Finally, the proposed fast new CSI algorithm with a compression ratio of 9:1 is used along with the JPEG standard to speed up the modified JPEG encoder-decoder and still obtain a better quality of reconstructed image for higher compression ratios

Keywords

code standards; codecs; data compression; discrete Fourier transforms; image coding; image reconstruction; interpolation; splines (mathematics); telecommunication standards; transform coding; CSI algorithm; FFT; JPEG standard; WDFT; Winograd discrete Fourier transform; addition; boundary-condition problems; compression ratio; cubic-spline interpolation; fast Fourier transform; fast efficient computation; image codec; image coding; image decoding; image encoding; modified JPEG encoder; modified JPEG encoder-decoder; multiplication; overlap-save scheme; reconstructed image quality; subimages; Codecs; Decoding; Discrete Fourier transforms; Fast Fourier transforms; Image coding; Image reconstruction; Interpolation; PSNR; Signal processing algorithms; Transform coding;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.923301

Filename

923301