Curvelet Transform as an Extension of Wavelet Transform and Its Operational Calculus
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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.
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.
참고문헌 (10)
- G. Beylkin, "On the representation of operators in bases of compactly supported wavelets", SIAM Journal on Numerical Analysis, 29(6), pp.1716~1740 (1992)[DOI]
- B. Bhosale, "Wavelet analysis of randomized solitary wave solutions", J. Math. Anal. Appl, 1(1), pp.20~26 (2014)
- "Curvelet Interaction with Articial Neural Networks Articial Neural Net-work Modelling" (2016)[URL]
- B. Bhosale, "Curvelet based multiresolution analysis of graph neural networks", International Journal of Applied Physics and Mathematics, 4(5), pp.313~316 (2014)[DOI]
- E.J. Candes, "Ridgelets: A key to higher-dimensional intermittency", Philosophical Transactions of the Royal Society of London. Series A: Mathemati-cal, Physical and Engineering Sciences, 357(1760), pp.2495~2509 (1999)[DOI]
- L. Debnath, "Wavelet transforms and their applications", pp.12~14 (2002), Birkha user
- D.L. Donoho, "Digital curvelet transform: strategy, implementation, and experiments", Wavelet applications VII SPIE, 4056, pp.12~30 (2000)[DOI]
- J. Ma, "A review of curvelets and recent applications", IEEE Signal Pro-cessing Magazine, 27(2), pp.118~133 (2000)
- S.D. Shedge, "Operational Calculus On Wavelet Transform As An Extension Of Fractional Fourier Transform", Journal of the Oriental Institute M.S. Uni-versity of Baroda, 71, pp.56~59 (2022)
- J.S. Walker, "Image denoising using tree-based wavelet subband correla-tions and shrinkage", Optical Engineering, 39(11), pp.2900~2908 (2000)[DOI]