A new one-step four-quadrant spatial phase-shifting Fourier transform digital holography is presented for recording of cosine transform coefficients, because cosine transform is a real-even symmetric Fourier transform. This approach implements four quadrant spatial phase shifting at a time using a special phase mask, which is located in the reference arm, and the phase distributions of its four-quadrants are 0, 'pi'/2, 'pi', and 3'pi'/2 respectively. The theoretical analysis and computer simulation results show that cosine transform coefficients of real-valued image can be calculated by capturing single four-quadrant spatial phase-shifting Fourier transform digital hologram.
© 2005 Chinese Optics Letters
(070.2590) Fourier optics and signal processing : ABCD transforms
(090.0090) Holography : Holography
(100.0100) Image processing : Image processing
(200.3050) Optics in computing : Information processing
Chujun Zheng, Peng Han, and Hongsen Chang, "Four-quadrant spatial phase-shifting Fourier transform digital holography for recording of cosine transform coefficients," Chin. Opt. Lett. 4, 145-147 (2006)