An interplay of ridgelet and linear canonical transforms

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dc.contributor.authorSrivastava, H.M.
dc.contributor.authorTantary, Azhar Y.
dc.contributor.authorShah, Firdous A.
dc.contributor.authorZayed, Ahmed I.
dc.date.accessioned2022-11-02T20:57:32Z
dc.date.available2022-11-02T20:57:32Z
dc.date.copyright2022en_US
dc.date.issued2022
dc.description.abstractThe present study is the first of its kind, aiming to explore the interface between the ridgelet and linear canonical transforms. To begin with, we formulate a family of linear canonical ridgelet waveforms by suitably chirping a one-dimensional wavelet along a specific direction. The construction of novel ridgelet waveforms is demonstrated via a suitable example supported by vivid graphics. Subsequently, we introduce the notion of linear canonical ridgelet transform, which not only embodies the classical ridgelet transform but also yields another new variant of the ridgelet transform based on the fractional Fourier transform. Besides studying all the fundamental properties, we also present an illustrative example on the implementation of the linear canonical ridgelet transform on a bivariate function.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationSrivastava, H., Tantary, A., Shah, F., & Zayed, A. (2022). “An interplay of ridgelet and linear canonical transforms.” Mathematics, 10(12), 1986. https://doi.org/10.3390/math10121986en_US
dc.identifier.urihttps://doi.org/10.3390/math10121986
dc.identifier.urihttp://hdl.handle.net/1828/14379
dc.language.isoenen_US
dc.publisherMathematicsen_US
dc.subjectlinear canonical transform
dc.subjectradon transform
dc.subjectridgelet transform
dc.subjectwavelet transform
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleAn interplay of ridgelet and linear canonical transformsen_US
dc.typeArticleen_US

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