Image denoising using a tight frame

Lixin Shen, Manos Papadakis, Ioannis A. Kakadiaris, Ioannis Konstantinidis, Donald Kouri, David Hoffman

Research output: Contribution to journalArticlepeer-review

54 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 nonseparable Parseval frames from separable (tensor) products of a piecewise linear spline tight frame. These new frame systems incorporate the weighted average operator, the Sobel operator, and the Laplacian 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)
Pages (from-to)1254-1263
Number of pages10
JournalIEEE Transactions on Image Processing
Volume15
Issue number5
DOIs
StatePublished - May 2006

Keywords

  • Image denoising
  • Tight frame
  • Wavelets

ASJC Scopus subject areas

  • Software
  • Computer Graphics and Computer-Aided Design

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