The Undecimated Dual Tree Complex Wavelet Transform and its application to bivariate image denoising using a Cauchy model

Paul Hill; Alin Achim; David Bull

doi:10.1109/ICIP.2012.6467082

The Undecimated Dual Tree Complex Wavelet Transform and its application to bivariate image denoising using a Cauchy model

Paul Hill^*, Alin Achim, David Bull

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

24 Citations (Scopus)

Abstract

The Undecimated Dual Tree Complex Wavelet Transform (UDTCWT) is introduced together with its application to image denoising. The UDT-CWT extends the traditional DT-CWT using the methods of filter upsampling and the removal of downsampling developed for the Undecimated Discrete Wavelet Transform (UDWT). The UDTCWT results in a one-to-one relationship between co-located complex coefficients in all subbands and offers improved lower scale subband localisation together with improved directional selectivity (compared to the UDWT). These properties of the UDT-CWT have been exploited in the presented bivariate shrinkage denoising algorithm and gives quantitative improvements in the application to the denoising of images.

Original language	English
Title of host publication	Proceedings - International Conference on Image Processing, ICIP
Pages	1205-1208
Number of pages	4
DOIs	https://doi.org/10.1109/ICIP.2012.6467082
Publication status	Published - 1 Dec 2012
Event	2012 19th IEEE International Conference on Image Processing, ICIP 2012 - Lake Buena Vista, FL, United Kingdom Duration: 30 Sept 2012 → 3 Oct 2012

Conference

Conference	2012 19th IEEE International Conference on Image Processing, ICIP 2012
Country/Territory	United Kingdom
City	Lake Buena Vista, FL
Period	30/09/12 → 3/10/12

Keywords

Discrete wavelet transforms
Image denoising

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10.1109/ICIP.2012.6467082

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Cite this

@inproceedings{99d626c3b13a4fc7890f59a3df5f2b92,

title = "The Undecimated Dual Tree Complex Wavelet Transform and its application to bivariate image denoising using a Cauchy model",

abstract = "The Undecimated Dual Tree Complex Wavelet Transform (UDTCWT) is introduced together with its application to image denoising. The UDT-CWT extends the traditional DT-CWT using the methods of filter upsampling and the removal of downsampling developed for the Undecimated Discrete Wavelet Transform (UDWT). The UDTCWT results in a one-to-one relationship between co-located complex coefficients in all subbands and offers improved lower scale subband localisation together with improved directional selectivity (compared to the UDWT). These properties of the UDT-CWT have been exploited in the presented bivariate shrinkage denoising algorithm and gives quantitative improvements in the application to the denoising of images.",

keywords = "Discrete wavelet transforms, Image denoising",

author = "Paul Hill and Alin Achim and David Bull",

year = "2012",

month = dec,

day = "1",

doi = "10.1109/ICIP.2012.6467082",

language = "English",

isbn = "9781467325332",

pages = "1205--1208",

booktitle = "Proceedings - International Conference on Image Processing, ICIP",

note = "2012 19th IEEE International Conference on Image Processing, ICIP 2012 ; Conference date: 30-09-2012 Through 03-10-2012",

}

Hill, P , Achim, A & Bull, D 2012, The Undecimated Dual Tree Complex Wavelet Transform and its application to bivariate image denoising using a Cauchy model. in Proceedings - International Conference on Image Processing, ICIP., 6467082, pp. 1205-1208, 2012 19th IEEE International Conference on Image Processing, ICIP 2012, Lake Buena Vista, FL, United Kingdom, 30/09/12. https://doi.org/10.1109/ICIP.2012.6467082

The Undecimated Dual Tree Complex Wavelet Transform and its application to bivariate image denoising using a Cauchy model. / Hill, Paul ; Achim, Alin ; Bull, David.
Proceedings - International Conference on Image Processing, ICIP. 2012. p. 1205-1208 6467082.

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

TY - GEN

T1 - The Undecimated Dual Tree Complex Wavelet Transform and its application to bivariate image denoising using a Cauchy model

AU - Hill, Paul

AU - Achim, Alin

AU - Bull, David

PY - 2012/12/1

Y1 - 2012/12/1

N2 - The Undecimated Dual Tree Complex Wavelet Transform (UDTCWT) is introduced together with its application to image denoising. The UDT-CWT extends the traditional DT-CWT using the methods of filter upsampling and the removal of downsampling developed for the Undecimated Discrete Wavelet Transform (UDWT). The UDTCWT results in a one-to-one relationship between co-located complex coefficients in all subbands and offers improved lower scale subband localisation together with improved directional selectivity (compared to the UDWT). These properties of the UDT-CWT have been exploited in the presented bivariate shrinkage denoising algorithm and gives quantitative improvements in the application to the denoising of images.

AB - The Undecimated Dual Tree Complex Wavelet Transform (UDTCWT) is introduced together with its application to image denoising. The UDT-CWT extends the traditional DT-CWT using the methods of filter upsampling and the removal of downsampling developed for the Undecimated Discrete Wavelet Transform (UDWT). The UDTCWT results in a one-to-one relationship between co-located complex coefficients in all subbands and offers improved lower scale subband localisation together with improved directional selectivity (compared to the UDWT). These properties of the UDT-CWT have been exploited in the presented bivariate shrinkage denoising algorithm and gives quantitative improvements in the application to the denoising of images.

KW - Discrete wavelet transforms

KW - Image denoising

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U2 - 10.1109/ICIP.2012.6467082

DO - 10.1109/ICIP.2012.6467082

M3 - Conference Contribution (Conference Proceeding)

AN - SCOPUS:84875862497

SN - 9781467325332

SP - 1205

EP - 1208

BT - Proceedings - International Conference on Image Processing, ICIP

T2 - 2012 19th IEEE International Conference on Image Processing, ICIP 2012

Y2 - 30 September 2012 through 3 October 2012

ER -

The Undecimated Dual Tree Complex Wavelet Transform and its application to bivariate image denoising using a Cauchy model

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The Undecimated Dual Tree Complex Wavelet Transform and its application to bivariate image denoising using a Cauchy model

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