A diagonally-oriented DCT-like 2D block transform

Ivan W. Selesnick; Onur G. Guleryuz

doi:10.1117/12.891884

27 September 2011 A diagonally-oriented DCT-like 2D block transform

Ivan W. Selesnick, Onur G. Guleryuz

Author Affiliations +

Proceedings Volume 8138, Wavelets and Sparsity XIV; 81381R (2011) https://doi.org/10.1117/12.891884
Event: SPIE Optical Engineering + Applications, 2011, San Diego, California, United States

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.

Citation Download Citation

Ivan W. Selesnick and Onur G. Guleryuz "A diagonally-oriented DCT-like 2D block transform", Proc. SPIE 8138, Wavelets and Sparsity XIV, 81381R (27 September 2011); https://doi.org/10.1117/12.891884

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