A new structure of 3-D dual-tree discrete wavelet transform and applications to video denoising and coding

Fei Shi, Beibei Wang, Ivan W. Selesnick, Yao Wang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper introduces an anisotropic decomposition structure of a recently introduced 3-D dual-tree discrete wavelet transform (DDWT), and explores the applications for video denoising and coding. The 3-D DDWT is an attractive video representation because it isolates motion along different directions in separate subbands, and thus leads to sparse video decompositions. Our previous investigation shows that the 3-D DDWT, compared to the standard discrete wavelet transform (DWT), complies better with the statistical models based on sparse presumptions, and gives better visual and numerical results when used for statistical denoising algorithms. Our research on video compression also shows that even with 4:1 redundancy, the 3-D DDWT needs fewer coefficients to achieve the same coding quality (in PSNR) by applying the iterative projection-based noise shaping scheme proposed by Kingsbury. The proposed anisotropic DDWT extends the superiority of Isotropic DDWT with more directional subbands without adding to the redundancy. Unlike the original 3-D DDWT which applies dyadic decomposition along all three directions and produces Isotropic frequency spacing, it has a non-uniform tiling of the frequency space. By applying this structure, we can improve the denoising results, and the number of significant coefficients can be reduced further, which is beneficial for video coding.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
DOIs
StatePublished - May 1 2006
EventVisual Communications and Image Processing 2006 - San Jose, CA, United States
Duration: Jan 17 2006Jan 19 2006

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume6077
ISSN (Print)0277-786X

Other

OtherVisual Communications and Image Processing 2006
CountryUnited States
CitySan Jose, CA
Period1/17/061/19/06

    Fingerprint

Keywords

  • 3-D transform
  • Anisotropic decomposition
  • Dual-tree wavelet transform
  • Video coding
  • Video denoising

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

Cite this

Shi, F., Wang, B., Selesnick, I. W., & Wang, Y. (2006). A new structure of 3-D dual-tree discrete wavelet transform and applications to video denoising and coding. In Proceedings of SPIE - The International Society for Optical Engineering [60771C] (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 6077). https://doi.org/10.1117/12.645922