We propose a generalized framework for single-shot acquisition of multidimensional objects using compressive Fresnel holography. A multidimensional object with spatial, spectral, and polarimetric information is propagated with the Fresnel diffraction, and the propagated signal of each channel is observed by an image sensor with randomly arranged optical elements for filtering. The object data are reconstructed using a compressive sensing algorithm. This scheme is verified with numerical experiments. The proposed framework can be applied to imageries for spectrum, polarization, and so on.
© 2012 Optical Society of America
Original Manuscript: March 2, 2012
Revised Manuscript: April 5, 2012
Manuscript Accepted: April 11, 2012
Published: May 30, 2012
Ryoichi Horisaki, Jun Tanida, Adrian Stern, and Bahram Javidi, "Multidimensional imaging using compressive Fresnel holography," Opt. Lett. 37, 2013-2015 (2012)