Nonlinear wavelet transforms, for image coding via lifting

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

doi:10.1109/TIP.2003.817237

Nonlinear wavelet transforms, for image coding via lifting

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

Houston Methodist

Research output: Contribution to journal › Article › peer-review

288 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 language	English (US)
Pages (from-to)	1449-1458
Number of pages	10
Journal	IEEE Transactions on Image Processing
Volume	12
Issue number	12
DOIs	https://doi.org/10.1109/TIP.2003.817237
State	Published - 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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10.1109/TIP.2003.817237

Cite this

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title = "Nonlinear wavelet transforms, for image coding via lifting",

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.",

keywords = "Adaptive signal processing, Image coding, Wavelet transforms",

author = "Claypoole, \{Roger L.\} and Davis, \{Geoffrey M.\} and Wim Sweldens and Baraniuk, \{Richard G.\}",

note = "Funding Information: Manuscript received September 14, 1999; revised March 18, 2002. This work was supported by the NSF under Grant MIP-9457438, by the ONR under Grant N00014-99-1-0813, by DARPA/AFOSR under Grant F49620-97-1-0513, and by the Texas Instruments Leadership University Program. The views expressed in this article are those of the authors and do not reflect the official policy or position of the United States Air Force, Department of Defense, or the U. S. Government. The associate editor coordinating the review of this manuscript and approving it for publication was Dr. Touradj Ebrahimi.",

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doi = "10.1109/TIP.2003.817237",

language = "English (US)",

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AU - Davis, Geoffrey M.

AU - Sweldens, Wim

AU - Baraniuk, Richard G.

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N2 - 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.

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KW - Image coding

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Nonlinear wavelet transforms, for image coding via lifting

Abstract

Keywords

ASJC Scopus subject areas

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