Polar Linear Canonical Wavelet Transform: Theory and Its Application

Autor:	Zhao, Hui, Li, Bing-Zhao
Rok vydání:	2023
Předmět:	Mathematics - General Mathematics
Druh dokumentu:	Working Paper
Popis:	The polar wavelet transform (PWT) has been proven to be a powerful mathematical tool for signal and image processing in recent years. Due to the increasing demand for directional representations of signals in engineering, it is impossible to fully exploit the intrinsic directional features of signals to describe high-dimensional signals like images. Focusing on this problem, the polar linear canonical wavelet transform (PLCWT) is proposed in this paper. Firstly, the theory of the PLCWT is investigated in detail, including its definition, basic properties and inversion formula. Secondly, the convolution and correlation theorems of the PLCWT are derived. Thirdly, uncertainty principles related to the PLCWT are obtained. Finally, the potential application of the PLCWT in image edge detection is discussed. Simulation results verify the correctness and effectiveness of the proposed method. Comment: 33 pages, 7 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.06702 Zobrazit plný text záznamu View this record from Arxiv