Image denoising using a tight frame

Lixin Shen, M. Papadakis, I. A. Kakadiaris, I. Konstantinidis, D. Kouri, D. Hoffman

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

6 Scopus citations

Abstract

We present a general mathematical theory for lifting frames that allows us to modify existing filters to construct new ones that form Parseval frames. We apply our theory to design non-separable Parseval frames from separable (tensor) products of a piecewise linear spline tight frame. These new frame systems incorporate the weighted average operator and the Sobel operator in directions that are integer multiples of 45°. A new image denoising algorithm is then proposed tailored to the specific properties of these new frame filters. We demonstrate the performance of our algorithm on a diverse set of images with very encouraging results.

Original languageEnglish (US)
Title of host publicationICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
VolumeII
DOIs
StatePublished - 2005
Externally publishedYes
Event2005 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP '05 - Philadelphia, PA, United States
Duration: Mar 18 2005Mar 23 2005

Other

Other2005 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP '05
CountryUnited States
CityPhiladelphia, PA
Period3/18/053/23/05

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ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Signal Processing
  • Acoustics and Ultrasonics

Cite this

Shen, L., Papadakis, M., Kakadiaris, I. A., Konstantinidis, I., Kouri, D., & Hoffman, D. (2005). Image denoising using a tight frame. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings (Vol. II). [1415486] https://doi.org/10.1109/ICASSP.2005.1415486