A fast convolution algorithm for biorthogonal wavelet image compression

Bing Fei Wu, Chorng Yann Su

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Symmetric filters and symmetric extension of image edges have been widely used in wavelet image compression. Since the filters are symmetric, it is possible to take advantage of the symmetric property to reduce the computational complexity for the filtering. In this paper, we present a fast convolution algorithm for the discrete wavelet transform (DWT) and the inverse DWT (IDWT) such that the transform time can be greatly reduced. Compared with regular convolution, the new algorithm can decrease the multiplication operations by nearly one half. Converted into real programming, it sped up the DWT and IDWT in our experiments by at least 12% and 55%, respectively. Incorporated with enhancing zerotree coding, the proposed algorithm results in a rapid and efficient coder. Experimental results showed that the coder is competitive with other high performance coders. The proposed convolution algorithm is also suitable for many types of wavelet-based coding, including wavelet video coding.

Original languageEnglish
Pages (from-to)179-192
Number of pages14
JournalJournal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an
Volume22
Issue number2
DOIs
Publication statusPublished - 1999 Jan 1

    Fingerprint

Keywords

  • Fast convolution algorithm
  • Symmetric extension
  • Wavelet image compression
  • Zerotree coding

ASJC Scopus subject areas

  • Engineering(all)

Cite this