Fractional Derivatives-Analysis and Experimental Implementation
Applied Optics, Vol. 40, Issue 32, pp. 5943-5948 (2001)
http://dx.doi.org/10.1364/AO.40.005943
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Abstract
The fractional derivative spatial-filtering operator is useful for image-processing applications, particularly for examination of phase objects. Experimental implementation is difficult because the mask function combines both amplitude and phase. We present a simple one-dimensional analysis of the fractional derivative operation and note similarities with the fractional Hilbert transform. We demonstrate how to encode these amplitude and phase masks using a phase-only liquid-crystal spatial light modulator and present experimental results. Finally, we introduce a radially symmetric extension of this operation that is more useful for objects having an arbitrary shape.
© 2001 Optical Society of America
[Optical Society of America ]
OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(100.0100) Image processing : Image processing
(120.2440) Instrumentation, measurement, and metrology : Filters
(200.3050) Optics in computing : Information processing
(230.3720) Optical devices : Liquid-crystal devices
(230.6120) Optical devices : Spatial light modulators
Citation
Jeffrey A. Davis, David A. Smith, Dylan E. McNamara, Don M. Cottrell, and Juan Campos, "Fractional Derivatives-Analysis and Experimental Implementation," Appl. Opt. 40, 5943-5948 (2001)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-40-32-5943
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