Discrete multidirectional wavelet bases

Vladan Velisavljevic; Baltasar Beferull-Lozano; Martin Vetterli; Pier Luigi Dragotti

doi:10.1109/ICIP.2003.1247140

Discrete multidirectional wavelet bases

Vladan Velisavljevic
, Baltasar Beferull-Lozano
, Martin Vetterli
, Pier Luigi Dragotti

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 construction. While simple, such an approach is not capable of capturing properly all 2D properties in images. In this paper, a new truly separable multidirectional transform is proposed with a subsampling method based on lattice theory. Applications are possible in many areas of image processing. Some promising improvements are achieved in nonlinear approximation and denoising of images.

Original language	English
Title of host publication	nan
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	780377508
ISBN (Print)	780377508
DOIs	https://doi.org/10.1109/ICIP.2003.1247140
Publication status	Published - 24 Nov 2003
Event	2003 International Conference on Image Processing - Barcelona Duration: 14 Sept 2003 → 17 Sept 2003

Conference

Conference	2003 International Conference on Image Processing
City	Barcelona
Period	14/09/03 → 17/09/03
Other	2003 International Conference on Image Processing (14/09/2003-17/09/2003, Barcelona)

Keywords

wavelets

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10.1109/ICIP.2003.1247140

https://ieeexplore.ieee.org/document/1247140

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title = "Discrete multidirectional wavelet bases",

abstract = "The application of the wavelet transform in image processing is most frequently based on a separable construction. While simple, such an approach is not capable of capturing properly all 2D properties in images. In this paper, a new truly separable multidirectional transform is proposed with a subsampling method based on lattice theory. Applications are possible in many areas of image processing. Some promising improvements are achieved in nonlinear approximation and denoising of images.",

keywords = "wavelets",

author = "Vladan Velisavljevic and Baltasar Beferull-Lozano and Martin Vetterli and Dragotti, \{Pier Luigi\}",

year = "2003",

month = nov,

day = "24",

doi = "10.1109/ICIP.2003.1247140",

language = "English",

isbn = "780377508",

booktitle = "nan",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

address = "United States",

note = "2003 International Conference on Image Processing ; Conference date: 14-09-2003 Through 17-09-2003",

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T1 - Discrete multidirectional wavelet bases

AU - Velisavljevic, Vladan

AU - Beferull-Lozano, Baltasar

AU - Vetterli, Martin

AU - Dragotti, Pier Luigi

PY - 2003/11/24

Y1 - 2003/11/24

N2 - The application of the wavelet transform in image processing is most frequently based on a separable construction. While simple, such an approach is not capable of capturing properly all 2D properties in images. In this paper, a new truly separable multidirectional transform is proposed with a subsampling method based on lattice theory. Applications are possible in many areas of image processing. Some promising improvements are achieved in nonlinear approximation and denoising of images.

AB - The application of the wavelet transform in image processing is most frequently based on a separable construction. While simple, such an approach is not capable of capturing properly all 2D properties in images. In this paper, a new truly separable multidirectional transform is proposed with a subsampling method based on lattice theory. Applications are possible in many areas of image processing. Some promising improvements are achieved in nonlinear approximation and denoising of images.

KW - wavelets

U2 - 10.1109/ICIP.2003.1247140

DO - 10.1109/ICIP.2003.1247140

M3 - Conference contribution

SN - 780377508

BT - nan

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2003 International Conference on Image Processing

Y2 - 14 September 2003 through 17 September 2003

ER -

Discrete multidirectional wavelet bases

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