Open AccessGyrator wavelet transform
Author(s) -
Mehra Isha,
Fatima Areeba,
Nishchal Naveen K.
Publication year - 2018
Publication title -
iet image processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.401
H-Index - 45
eISSN - 1751-9667
pISSN - 1751-9659
DOI - 10.1049/iet-ipr.2017.0666
Subject(s) - gyrator , parseval's theorem , wavelet transform , harmonic wavelet transform , second generation wavelet transform , discrete wavelet transform , s transform , wavelet , stationary wavelet transform , computer science , constant q transform , rotation (mathematics) , hartley transform , algorithm , artificial intelligence , mathematics , computer vision , fractional fourier transform , fourier transform , electronic engineering , mathematical analysis , engineering , fourier analysis
The gyrator transform is a linear canonical transform, which generates the rotation of an optical signal in position‐spatial frequency planes. Gyrator wavelet transform is a relatively newer optical information processing tool obtained by combining the gyrator transform with the wavelet transform. This combination provides multi‐resolution analysis of an image which is twisted in spatial frequency planes. The proposed tool satisfies basic algebraic properties, such as the linearity property and Parseval's theorem. Considering the usefulness of this tool, here a study of features, applications, and implementation of the gyrator wavelet transform is presented. This work studies the features of the gyrator wavelet transform, which can find a role in different applications such as edge enhancement, image encryption, image hiding, and watermarking.