A diagonally-oriented DCT-like 2D block transform | Zendy

Ivan Selesnick | Zendy; Onur G. Guleryuz | Zendy

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A diagonally-oriented DCT-like 2D block transform

Author(s) -

Ivan Selesnick,

Onur G. Guleryuz

Publication year - 2011

Publication title -

proceedings of spie, the international society for optical engineering/proceedings of spie

Language(s) - English

Resource type - Conference proceedings

SCImago Journal Rank - 0.192

H-Index - 176

eISSN - 1996-756X

pISSN - 0277-786X

DOI - 10.1117/12.891884

Subject(s) - discrete cosine transform , orthonormal basis , computer science , algorithm , lapped transform , transform coding , representation (politics) , artificial intelligence , computer vision , image (mathematics) , physics , quantum mechanics , politics , political science , law

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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