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ISSN : 1226-0657

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Vol.31 No.2

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Curvelet Transform as an Extension of Wavelet Transform and Its Operational Calculus

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2024, v.31 no.2, pp.179-187
https://doi.org/10.7468/jksmeb.2024.31.2.179
Sachin Mane (Shivaji University Kolhapur)
Bharat Bhosale (Sambhajirao Kadam College)
Shubham Shedge (Rajarshi Chhatrapati Shahu College)
Sachin, M. , Bharat, B. , & Shubham, S. (2024). Curvelet Transform as an Extension of Wavelet Transform and Its Operational Calculus. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 31(2), 179-187, https://doi.org/10.7468/jksmeb.2024.31.2.179

Abstract

In image and signal processing, the wavelet transform is frequently employed. However, it has the drawback of having weak directionality, which has limited its use in many applications. A recent addition to the wavelet transform, the curvelet transform attempts to address crossing phenomena that occur along curved edges in 2-D images. As an extension of the wavelet transform, we discuss various curvelet transform features in this paper. There are numerous uses for the curvelet and wavelet transforms in image and signal processing.

keywords
wavelet transform, curvelet transform, extended curvelet transform.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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