Two-dimensional quaternion Fourier transform of type II and quaternion wavelet transform

A two-dimensional quaternion Fourier transform (QFT) defined with the kernel e - i+j+k/√3 ω · x is proposed. Some fundamental properties, such as convolution theorem and Plancherel theorem are established. The wavelet transform is extended to quaternion algebra using the kernel of the QFT.

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Bibliographic Details
Published in2012 International Conference on Wavelet Analysis and Pattern Recognition pp. 359 - 364
Main Authors Bahri, M., Ashino, R., Vaillancourt, R.
Format Conference Proceeding
LanguageEnglish
Japanese
Published IEEE 01.07.2012
Subjects
Algebra
Fourier transforms
Kernel
Quaternion algebra
Quaternion Fourier transform
Quaternion-valued function
Quaternions
Wavelet analysis
Wavelet transforms
Online AccessGet full text
ISBN9781467315340
1467315346
ISSN2158-5695
DOI10.1109/ICWAPR.2012.6294808

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Summary:A two-dimensional quaternion Fourier transform (QFT) defined with the kernel e - i+j+k/√3 ω · x is proposed. Some fundamental properties, such as convolution theorem and Plancherel theorem are established. The wavelet transform is extended to quaternion algebra using the kernel of the QFT.
ISBN:9781467315340
1467315346
ISSN:2158-5695
DOI:10.1109/ICWAPR.2012.6294808