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The Discrete Shearlet Transform: A New Directional Transform and Compactly Supported Shearlet Frames
Abstract
It is now widely acknowledged that analyzing the intrinsic geometrical features of the underlying image is essential in many applications including image processing. In order to achieve this, several directional image representation schemes have been proposed. In this paper, we develop the discrete shearlet transform (DST) which provides efficient multiscale directional representation and show that the implementation of the transform is built in the discrete framework based on a multiresolution analysis (MRA). We assess the performance of the DST in image denoising and approximation applications. In image approximations, our approximation scheme using the DST outperforms the discrete wavelet transform (DWT) while the computational cost of our scheme is comparable to the DWT. Also, in image denoising, the DST compares favorably with other existing transforms in the literature.
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Cited by
Acharya, U. R., Fernandes, S. L., WeiKoh, J. E., Ciaccio, E. J., Fabell, M. K. M., Tanik, U. J., Rajinikanth, V., & Yeong, C. H. (2019) · Journal of Medical Systems · doi:10.1007/s10916-019-1428-9 · Cited by 325
Surface Defects Classification of Hot-Rolled Steel Strips Using Multi-directional Shearlet Features
Ashour, M. W., Khalid, F., Abdul Halin, A., Abdullah, L. N., & Darwish, S. H. (2019) · Arabian Journal for Science and Engineering · doi:10.1007/s13369-018-3329-5 · Cited by 77
Application of Shearlet transform to classification of surface defects for metals
Xu, K., Liu, S., & Ai, Y. (2015) · Image and Vision Computing · doi:10.1016/j.imavis.2015.01.001 · Cited by 55
Surface defect identification of aluminium strips with non-subsampled shearlet transform
Liu, X., Xu, K., Zhou, P., Zhou, D., & Zhou, Y. (2020) · Optics and Lasers in Engineering · doi:10.1016/j.optlaseng.2019.105986 · Cited by 24
Metadata
- Authors
- Lim, W.-Q.
- Venue
- IEEE Transactions on Image Processing
- Published
- 2010-05
- Volume
- 19
- Issue
- 5
- Pages
- 1166-1180
- ISSN
- 1057-7149 (ISSN-L)
- 1941-0042
- OpenAlex
- W2117881455
- Cited by
- 424
- References
- 0
- FWCI
- 32.58
- Type
- journal article
- Language
- en
- Open access
- closed
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- Lim, W.-Q. (2010). The Discrete Shearlet Transform: A New Directional Transform and Compactly Supported Shearlet Frames. IEEE Transactions on Image Processing. https://doi.org/10.1109/tip.2010.2041410
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