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 contribució | Fractional derivatives—analysis and experimental implementation |
---|---|
Idioma original | Anglès |
Pàgines (de-a) | 5943-5948 |
Revista | Applied Optics |
Volum | 40 |
Número | 32 |
DOIs | |
Estat de la publicació | Publicada - 10 de nov. 2001 |