A diagonally-oriented DCT-like 2D block transform

Ivan W. Selesnick; Onur G. Guleryuz

doi:10.1117/12.891884

A diagonally-oriented DCT-like 2D block transform

Ivan W. Selesnick, Onur G. Guleryuz

Electrical and Computer Engineering

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

Abstract

Due to the prevalence of edges in image content, various directional transforms have been proposed for the efficient representation of images. Such transforms are useful for coding, denoising, and image restoration using sparse signal representation techniques. This paper describes a new non-separable 2D DCT-like orthonormal block transform that is optimized for a specified orientation angle. The approach taken in this paper is to extend to two-dimensions one approach (of several) for constructing the standard 1D DCT. The proposed transform is obtained as the eigenvectors of particular matrices, as is the standard 1D DCT.

Original language	English (US)
Title of host publication	Wavelets and Sparsity XIV
DOIs	https://doi.org/10.1117/12.891884
State	Published - 2011
Event	Wavelets and Sparsity XIV - San Diego, CA, United States Duration: Aug 21 2011 → Aug 24 2011

Publication series

Name	Proceedings of SPIE - The International Society for Optical Engineering
Volume	8138
ISSN (Print)	0277-786X

Other

Other	Wavelets and Sparsity XIV
Country/Territory	United States
City	San Diego, CA
Period	8/21/11 → 8/24/11

Keywords

DCT
Discrete cosine transform
block transform
directional DCT

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Computer Science Applications
Applied Mathematics
Electrical and Electronic Engineering

Access to Document

10.1117/12.891884

Cite this

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title = "A diagonally-oriented DCT-like 2D block transform",

abstract = "Due to the prevalence of edges in image content, various directional transforms have been proposed for the efficient representation of images. Such transforms are useful for coding, denoising, and image restoration using sparse signal representation techniques. This paper describes a new non-separable 2D DCT-like orthonormal block transform that is optimized for a specified orientation angle. The approach taken in this paper is to extend to two-dimensions one approach (of several) for constructing the standard 1D DCT. The proposed transform is obtained as the eigenvectors of particular matrices, as is the standard 1D DCT.",

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AU - Guleryuz, Onur G.

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AB - Due to the prevalence of edges in image content, various directional transforms have been proposed for the efficient representation of images. Such transforms are useful for coding, denoising, and image restoration using sparse signal representation techniques. This paper describes a new non-separable 2D DCT-like orthonormal block transform that is optimized for a specified orientation angle. The approach taken in this paper is to extend to two-dimensions one approach (of several) for constructing the standard 1D DCT. The proposed transform is obtained as the eigenvectors of particular matrices, as is the standard 1D DCT.

KW - DCT

KW - Discrete cosine transform

KW - block transform

KW - directional DCT

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M3 - Conference contribution

AN - SCOPUS:80055060653

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T3 - Proceedings of SPIE - The International Society for Optical Engineering

BT - Wavelets and Sparsity XIV

T2 - Wavelets and Sparsity XIV

Y2 - 21 August 2011 through 24 August 2011

ER -

A diagonally-oriented DCT-like 2D block transform

Abstract

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Keywords

ASJC Scopus subject areas

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