A linear optimization of dual-tree complex wavelet transform

Seisuke Kyochi, Takafumi Shimizu, Masaaki Ikehara

Research output: Contribution to journalArticle

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.

Original languageEnglish
Pages (from-to)1386-1393
Number of pages8
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
VolumeE94-A
Issue number6
DOIs
Publication statusPublished - 2011 Jun

Fingerprint

Linear Optimization
Trees (mathematics)
Wavelet transforms
Wavelet Transform
Nonlinear Approximation
Image denoising
Least-squares Solution
Image Denoising
Invariance
Least Square Method
Attenuation
Degree of freedom
Approximation
Design

Keywords

  • Directionality
  • Dual-tree complex wavelet transform
  • Half sample delay condition
  • Least squares method
  • Shift invariance

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Computer Graphics and Computer-Aided Design
  • Applied Mathematics
  • Signal Processing

Cite this

A linear optimization of dual-tree complex wavelet transform. / Kyochi, Seisuke; Shimizu, Takafumi; Ikehara, Masaaki.

In: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E94-A, No. 6, 06.2011, p. 1386-1393.

Research output: Contribution to journalArticle

@article{65ca6037360d452091238aff8115e7b2,
title = "A linear optimization of dual-tree complex wavelet transform",
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.",
keywords = "Directionality, Dual-tree complex wavelet transform, Half sample delay condition, Least squares method, Shift invariance",
author = "Seisuke Kyochi and Takafumi Shimizu and Masaaki Ikehara",
year = "2011",
month = "6",
doi = "10.1587/transfun.E94.A.1386",
language = "English",
volume = "E94-A",
pages = "1386--1393",
journal = "IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences",
issn = "0916-8508",
publisher = "Maruzen Co., Ltd/Maruzen Kabushikikaisha",
number = "6",

}

TY - JOUR

T1 - A linear optimization of dual-tree complex wavelet transform

AU - Kyochi, Seisuke

AU - Shimizu, Takafumi

AU - Ikehara, Masaaki

PY - 2011/6

Y1 - 2011/6

N2 - 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.

AB - 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.

KW - Directionality

KW - Dual-tree complex wavelet transform

KW - Half sample delay condition

KW - Least squares method

KW - Shift invariance

UR - http://www.scopus.com/inward/record.url?scp=79957987466&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79957987466&partnerID=8YFLogxK

U2 - 10.1587/transfun.E94.A.1386

DO - 10.1587/transfun.E94.A.1386

M3 - Article

AN - SCOPUS:79957987466

VL - E94-A

SP - 1386

EP - 1393

JO - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

JF - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

SN - 0916-8508

IS - 6

ER -