A diagonally-oriented DCT-like 2D block transform

Ivan W. Selesnick, Onur G. Guleryuz

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


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
StatePublished - 2011
EventWavelets and Sparsity XIV - San Diego, CA, United States
Duration: Aug 21 2011Aug 24 2011

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
ISSN (Print)0277-786X


OtherWavelets and Sparsity XIV
Country/TerritoryUnited States
CitySan Diego, CA


  • 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


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