Toeplitz Block Matrices in Compressed Sensing

: This paper addresses the problem of reconstructing an image from 1-bit-quantized measurements, considering a simple but nonconventional optical acquisition model. Following a compressed-sensing design, a known pseudo-random phase-shifting mask is introduced at the aperture of the optical system. The associated reconstruction algorithm is tailored to this mask. Our results demonstrate the feasibility of the whole approach for reconstructing grayscale images.

• Type: Journal
• Year: 2008
• Where: CORR
• Authors: Florian Sebert, Leslie Ying, Yi Ming Zou
• Keywords: CORR 2008, Education, Nonconventional Optical Acquisition, Optical, Pseudo-random Phase-shifting Mask