A diagonally-oriented DCT-like 2D block transform

Ivan Selesnick, Onur G. Guleryuz

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish (US)
Title of host publicationWavelets and Sparsity XIV
Volume8138
DOIs
StatePublished - 2011
EventWavelets and Sparsity XIV - San Diego, CA, United States
Duration: Aug 21 2011Aug 24 2011

Other

OtherWavelets and Sparsity XIV
CountryUnited States
CitySan Diego, CA
Period8/21/118/24/11

Fingerprint

discrete cosine transform
Transform
Image reconstruction
Eigenvalues and eigenfunctions
restoration
Nonseparable
Image Restoration
Orthonormal
eigenvectors
coding
Denoising
Eigenvector
Two Dimensions
Coding
matrices
Angle
Standards

Keywords

  • block transform
  • DCT
  • directional DCT
  • Discrete cosine transform

ASJC Scopus subject areas

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

Cite this

Selesnick, I., & Guleryuz, O. G. (2011). A diagonally-oriented DCT-like 2D block transform. In Wavelets and Sparsity XIV (Vol. 8138). [81381R] https://doi.org/10.1117/12.891884

A diagonally-oriented DCT-like 2D block transform. / Selesnick, Ivan; Guleryuz, Onur G.

Wavelets and Sparsity XIV. Vol. 8138 2011. 81381R.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Selesnick, I & Guleryuz, OG 2011, A diagonally-oriented DCT-like 2D block transform. in Wavelets and Sparsity XIV. vol. 8138, 81381R, Wavelets and Sparsity XIV, San Diego, CA, United States, 8/21/11. https://doi.org/10.1117/12.891884
Selesnick I, Guleryuz OG. A diagonally-oriented DCT-like 2D block transform. In Wavelets and Sparsity XIV. Vol. 8138. 2011. 81381R https://doi.org/10.1117/12.891884
Selesnick, Ivan ; Guleryuz, Onur G. / A diagonally-oriented DCT-like 2D block transform. Wavelets and Sparsity XIV. Vol. 8138 2011.
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