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Three-dimensional octonion wavelet transform

Katunin A.

Journal of Applied Mathematics and Computational Mechanics

2014

Vol. 13, nr 1

33--38

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 twodimensional 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.