A Linear Optimization of Dual-Tree Complex Wavelet Transform

• KYOCHI Seisuke

  Department of Electronics and Electrical Engineering, Keio University

• SHIMIZU Takafumi

  Department of Electronics and Electrical Engineering, Keio University

• IKEHARA Masaaki

  Department of Electronics and Electrical Engineering, Keio University

Abstract

In this paper, a linear optimization of the dual-tree complex wavelet transform (DTCWT) based on the least squares method is proposed. The proposed method can design efficient DTCWTs by improving the design degrees of freedom and solving the least square solution iteratively. Because the resulting DTCWTs have good approximation accuracy of the half sample delay condition and the stopband attenuation, they provide precise shift-invariance and directionality. Finally, the proposed DTCWTs are evaluated by applying to non-linear approximation and image denoising, and showed their effectiveness, compared with the conventional DTCWTs.

Journal

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

  IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E94.A (6), 1386-1393, 2011

  The Institute of Electronics, Information and Communication Engineers

Keywords

• dual-tree complex wavelet transform
• half sample delay condition
• directionality
• shift invariance
• least squares method

Details

• CRID: 1390282681286509568
• NII Article ID: 10029802522
• NII Book ID: AA10826239
• DOI: 10.1587/transfun.e94.a.1386
• ISSN: 17451337
• ISSN: 09168508
• Web Site: https://www.jstage.jst.go.jp/article/transfun/E94.A/6/E94.A_6_1386/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed