THREE-DIMENSIONAL OCTONION WAVELET TRANSFORM

The necessities of processing of spatial data require developing new feature- -sensitive tools such as extensions of the wavelet transform. Considering the advantages of the application of complex wavelets and their extension to quaternionic wavelets for two- dimensional data structures, the new octonion discrete wavelet transform for the analysis of three-dimensional data structures was introduced in this paper. The construction of the wavelet pyramid as well as octonionic wavelets were presented.

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