An optical system for capturing an image using compressive sensing includes: a digital micromirror device (DMD) array; an optical lens system; a first optical detector array; a first optical channel for projecting spatial information onto the first detector array; a second optical detector array; a second optical channel; a spectral filter and a polarization filter for projecting spectral and polarization information onto the second detector array; and an image processor to control the DMD array to generate a first and a second set of samples of the image using a sampling rate lower than required by the Shannon-Nyquist sampling theorem, and to reconstruct the image from the samples collected and digitized by the first and second optical detector arrays.