Directional wavelet transforms and frames

Vladan Velisavljevic; Pier Luigi Dragotti; Martin Vetterli

doi:10.1109/ICIP.2002.1039039

Directional wavelet transforms and frames

Vladan Velisavljevic
, Pier Luigi Dragotti
, Martin Vetterli

Institute for Research in Engineering and Sustainable Environment (IRESE)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The application of the wavelet transform in image processing is most frequently based on a separable transform. Lines and columns in an image are treated independently and the basis functions are simply products of corresponding one-dimensional functions. Such a method keeps simplicity in design and computation. A new two-dimensional approach is proposed, which retains the simplicity of separable processing, but allows more directionalities. The method can be applied in many areas like denoising, nonlinear approximation and compression. The results on nonlinear approximation and denoising show interesting gains compared to the standard two-dimensional analysis.

Original language	English
Title of host publication	nan
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Print)	0780376226
DOIs	https://doi.org/10.1109/ICIP.2002.1039039
Publication status	Published - 1 Jan 2002
Event	International Conference on Image Processing 2002 - Rochester Duration: 22 Sept 2002 → 25 Sept 2002

Conference

Conference	International Conference on Image Processing 2002
City	Rochester
Period	22/09/02 → 25/09/02
Other	International Conference on Image Processing 2002 (22/09/2002-25/09/2002, Rochester)

Keywords

wavelet transform analysis

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https://ieeexplore.ieee.org/document/1039039

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title = "Directional wavelet transforms and frames",

abstract = "The application of the wavelet transform in image processing is most frequently based on a separable transform. Lines and columns in an image are treated independently and the basis functions are simply products of corresponding one-dimensional functions. Such a method keeps simplicity in design and computation. A new two-dimensional approach is proposed, which retains the simplicity of separable processing, but allows more directionalities. The method can be applied in many areas like denoising, nonlinear approximation and compression. The results on nonlinear approximation and denoising show interesting gains compared to the standard two-dimensional analysis.",

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T1 - Directional wavelet transforms and frames

AU - Velisavljevic, Vladan

AU - Dragotti, Pier Luigi

AU - Vetterli, Martin

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Y1 - 2002/1/1

N2 - The application of the wavelet transform in image processing is most frequently based on a separable transform. Lines and columns in an image are treated independently and the basis functions are simply products of corresponding one-dimensional functions. Such a method keeps simplicity in design and computation. A new two-dimensional approach is proposed, which retains the simplicity of separable processing, but allows more directionalities. The method can be applied in many areas like denoising, nonlinear approximation and compression. The results on nonlinear approximation and denoising show interesting gains compared to the standard two-dimensional analysis.

AB - The application of the wavelet transform in image processing is most frequently based on a separable transform. Lines and columns in an image are treated independently and the basis functions are simply products of corresponding one-dimensional functions. Such a method keeps simplicity in design and computation. A new two-dimensional approach is proposed, which retains the simplicity of separable processing, but allows more directionalities. The method can be applied in many areas like denoising, nonlinear approximation and compression. The results on nonlinear approximation and denoising show interesting gains compared to the standard two-dimensional analysis.

KW - wavelet transform analysis

U2 - 10.1109/ICIP.2002.1039039

DO - 10.1109/ICIP.2002.1039039

M3 - Conference contribution

SN - 0780376226

BT - nan

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - International Conference on Image Processing 2002

Y2 - 22 September 2002 through 25 September 2002

ER -

Directional wavelet transforms and frames

Abstract

Conference

Keywords

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