THREE-DIMENSIONAL OCTONION WAVELET TRANSFORM

被引：3

作者：

Katunin, Andrzej ^{[1
]}

机构：

[1] Silesian Tech Univ, Inst Fundamentals Machinery Design, Gliwice, Poland

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS | 2014年 / 13卷 / 01期

关键词：

octonion wavelet transform; spatial data processing; octonionic wavelets;

D O I：

10.17512/jamcm.2014.1.04

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：33 / 38

页数：6

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