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 proceedingConference Contribution (Conference Proceeding)

18 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 languageEnglish
Title of host publicationProceedings - International Conference on Image Processing, ICIP
Pages1205-1208
Number of pages4
DOIs
Publication statusPublished - 1 Dec 2012
Event2012 19th IEEE International Conference on Image Processing, ICIP 2012 - Lake Buena Vista, FL, United Kingdom
Duration: 30 Sep 20123 Oct 2012

Conference

Conference2012 19th IEEE International Conference on Image Processing, ICIP 2012
CountryUnited Kingdom
CityLake Buena Vista, FL
Period30/09/123/10/12

Keywords

  • Discrete wavelet transforms
  • Image denoising

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