中文

Fast complexified quaternion Fourier transform

数值分析 2008-03-19 v1 泛函分析

摘要

A discrete complexified quaternion Fourier transform is introduced. This is a generalization of the discrete quaternion Fourier transform to the case where either or both of the signal/image and the transform kernel are complex quaternion-valued. It is shown how to compute the transform using four standard complex Fourier transforms and the properties of the transform are briefly discussed.

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引用

@article{arxiv.math/0603578,
  title  = {Fast complexified quaternion Fourier transform},
  author = {Salem Said and Nicolas Le Bihan and Stephen J. Sangwine},
  journal= {arXiv preprint arXiv:math/0603578},
  year   = {2008}
}