Nonlinear wavelet transforms, for image coding via lifting

Roger L. Claypoole, Geoffrey M. Davis, Wim Sweldens, Richard G. Baraniuk

Research output: Contribution to journalArticle

264 Scopus citations

Abstract

We investigate central issues such as invertibility, stability, synchronization, and frequency characteristics for nonlinear wavelet transforms built using the lifting framework. The nonlinearity comes from adaptively choosing between a class of linear predictors within the lifting framework. We also describe how earlier families of nonlinear filter banks can be extended through the use of prediction functions operating on a causal neighborhood of pixels. Preliminary compression results for model and real-world images demonstrate the promise of our techniques.

Original languageEnglish (US)
Pages (from-to)1449-1458
Number of pages10
JournalIEEE Transactions on Image Processing
Volume12
Issue number12
DOIs
StatePublished - Dec 2003

Keywords

  • Adaptive signal processing
  • Image coding
  • Wavelet transforms

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Computer Graphics and Computer-Aided Design
  • Software
  • Theoretical Computer Science
  • Computational Theory and Mathematics
  • Computer Vision and Pattern Recognition

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