Fractional derivatives—analysis and experimental implementation

Títol traduït de la contribució: Fractional derivatives—analysis and experimental implementation

Jeffrey A. Davis, David A. Smith, Dylan E. Mc Namara, Don M. Cottrell, Juan Campos

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35 Cites (Scopus)

Resum

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.
Títol traduït de la contribucióFractional derivatives—analysis and experimental implementation
Idioma originalAnglès
Pàgines (de-a)5943-5948
RevistaApplied Optics
Volum40
Número32
DOIs
Estat de la publicacióPublicada - 10 de nov. 2001

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