Reversible 2D 9-7 DWT Based on Non-separable 2D Lifting Structure Compatible with Irreversible DWT

• IWAHASHI Masahiro

  Nagaoka University of Technology

• KIYA Hitoshi

  Tokyo Metropolitan University

Abstract

This paper proposes a reversible two dimensional (2D) discrete wavelet transform (DWT) for lossless coding which is compatible with the irreversible 2D 9-7 DWT for lossy coding in the JPEG 2000. Since all the filters and scalings are factorized into a product of lifting steps, and signal values are rounded into integers, the proposed DWT is reversible and applicable to lossless coding of 2D signals. We replace a part of the separable 2D transfer function of the 2D DWT by a non separable 2D lifting structure, so that the number of rounding operations is decreased. We also investigate performance of the DWT under octave decomposition case and theoretically endorse it. As a result, reduction of the rounding errors due to the replacement was confirmed. It means that compatibility of the reversible DWT to the irreversible 2D 9-7 DWT is improved.

Journal

• IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

  IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E94-A (10), 1928-1936, 2011

  The Institute of Electronics, Information and Communication Engineers

Keywords

• lossless
• image
• wavelet
• coding
• compatible

Details

• CRID: 1390282681288279040
• NII Article ID: 10030191052
• NII Book ID: AA10826239
• DOI: 10.1587/transfun.e94.a.1928
• BIBCODE: 2011IEITF..94.1928I
• ISSN: 17451337
• ISSN: 09168508
• Web Site: http://www.jstage.jst.go.jp/article/transfun/E94.A/10/E94.A_10_1928/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed