Some FFT-like algorithms for RGB-spectra calculation

  • Authors:
  • Vladimir Chernov

  • Affiliations:
  • Image Processing Systems Institute (IPSI RAS), 151 Molodogvardejskaya St, 443001, Samara, Russia

  • Venue:
  • Machine Graphics & Vision International Journal - Special issue on latest results in colour image processing and applications
  • Year:
  • 2002

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Abstract

The paper deals with some new algorithms for "overlapped" calculation of 1D and 2D DFT spectra of a multi-channel signal. The algorithms' computational complexity is decreased via a fast calculation of an auxiliary transform that takes values in special algebraic structures: the group algebra of a quaternion units group and the algebra associated with integral Hurwitz quaternions.