The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Image processing with the radial Hilbert transform: theory and experiments
Abstract
The Hilbert transform is useful for image processing because it can select which edges of an input image are enhanced and to what degree the edge enhancement occurs. However, the transform operation is one dimensional and is not applicable for arbitrarily shaped two-dimensional objects. We introduce a radially symmetric Hilbert transform that permits two-dimensional edge enhancement. We implement one-dimensional, two-dimensional, and radial Hilbert transforms with a programmable phase-only liquid-crystal spatial light modulator. Experimental results are presented.
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Citations
Cites
Handbook of Mathematical Functions
McQuarrie, D. A. (1966) · American Journal of Physics · doi:10.1119/1.1972842 · Cited by 40,433
The Fourier Transform and Its Applications
Bracewell, R., & Kahn, P. B. (1966) · American Journal of Physics · doi:10.1119/1.1973431 · Cited by 5,737
Lohmann, A. W., David Mendlovic, B., & Zalevsky, Z. (1996) · Optics Letters · doi:10.1364/ol.21.000281 · Cited by 253
Davis, J. A., Tsai, P. S., Cottrell, D. M., Sonehara, T., & Amako, J. (1999) · Optical Engineering · doi:10.1117/1.602149 · Cited by 82
Self-citation
Cited by
Spiral phase contrast imaging in microscopy
Fürhapter, S., Jesacher, A., Bernet, S., & Ritsch-Marte, M. (2005) · Optics Express · doi:10.1364/opex.13.000689 · Cited by 664
Foo, G., Swartzlander, G. A., & Palacios, D. (2005) · Frontiers in Optics · doi:10.1364/fio.2005.jwa22 · Cited by 530
Larkin, K. G., Bone, D. J., & Oldfield, M. A. (2001) · Journal of the Optical Society of America A · doi:10.1364/josaa.18.001862 · Cited by 421
Photonic Spin-Multiplexing Metasurface for Switchable Spiral Phase Contrast Imaging
Huo, P., Zhang, C., Zhu, W., Liu, M., Zhang, S., Zhang, S., Chen, L., Lezec, H. J., Agrawal, A., Lu, Y., et al. (2020) · Nano Letters · doi:10.1021/acs.nanolett.0c00471 · Cited by 373
Zhu, T., Lou, Y., Zhou, Y., Zhang, J., Huang, J., Li, Y., Luo, H., Wen, S., Zhu, S., Gong, Q., et al. (2019) · Physical Review Applied · doi:10.1103/physrevapplied.11.034043 · Cited by 361
Metadata
- Authors
- Davis, J. A., McNamara, D. E., Cottrell, D. M., & Campos, J.
- Venue
- Optics Letters
- Publisher
- Optica Publishing Group
- Published
- 2000-01-15
- Volume
- 25
- Issue
- 2
- Pages
- 99
- ISSN
- 0146-9592 (ISSN-L)
- 1539-4794
- OpenAlex
- W1974670612
- Cited by
- 321
- References
- 4
- FWCI
- 10.78
- Type
- journal article
- Language
- en
- Open access
- closed
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- Davis, J. A., McNamara, D. E., Cottrell, D. M., & Campos, J. (2000). Image processing with the radial Hilbert transform: theory and experiments. Optics Letters. https://doi.org/10.1364/ol.25.000099
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