Geometrical image compression with bandelets

Erwan Le Pennec; Stéphane Mallat

doi:10.1117/12.509904

Geometrical image compression with bandelets

Erwan Le Pennec
, Stéphane Mallat

Ecole polytechnique
Courant Institute of Mathematical Sciences

Résultats de recherche: Contribution à un journal › Article de conférence › Revue par des pairs

Résumé

This paper introduces a new class of bases, called bandelet bases, which decompose the image along multiscale vectors that are elongated in the direction of a geometric flow. This geometric flow indicates the direction in which the image grey levels have regular variations. The image decomposition in a bandelet basis is implemented with a fast subband filtering algorithm. Bandelet bases lead to optimal approximation rates for geometrically regular images. For image compression, the bandelet basis geometry is optimized with a fast best basis algorithm. Comparisons are made for image compression with wavelet bases.

langue originale	Anglais
Pages (de - à)	1273-1286
Nombre de pages	14
journal	Proceedings of SPIE - The International Society for Optical Engineering
Volume	5150 II
Les DOIs	https://doi.org/10.1117/12.509904
état	Publié - 1 oct. 2003
Evénement	Visual Communications and Image Processing 2003 - Lugano, Suisse Durée: 8 juil. 2003 → 11 juil. 2003

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10.1117/12.509904

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abstract = "This paper introduces a new class of bases, called bandelet bases, which decompose the image along multiscale vectors that are elongated in the direction of a geometric flow. This geometric flow indicates the direction in which the image grey levels have regular variations. The image decomposition in a bandelet basis is implemented with a fast subband filtering algorithm. Bandelet bases lead to optimal approximation rates for geometrically regular images. For image compression, the bandelet basis geometry is optimized with a fast best basis algorithm. Comparisons are made for image compression with wavelet bases.",

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AB - This paper introduces a new class of bases, called bandelet bases, which decompose the image along multiscale vectors that are elongated in the direction of a geometric flow. This geometric flow indicates the direction in which the image grey levels have regular variations. The image decomposition in a bandelet basis is implemented with a fast subband filtering algorithm. Bandelet bases lead to optimal approximation rates for geometrically regular images. For image compression, the bandelet basis geometry is optimized with a fast best basis algorithm. Comparisons are made for image compression with wavelet bases.

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DO - 10.1117/12.509904

M3 - Conference article

AN - SCOPUS:0141719476

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VL - 5150 II

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JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

T2 - Visual Communications and Image Processing 2003

Y2 - 8 July 2003 through 11 July 2003

ER -

Geometrical image compression with bandelets

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