Abstract
In this paper, complex deterministic sensing matrices are explored to sample the signals in the single pixel imaging (SPI). A new analysissynthesis scheme is proposed to realize the complex deterministic sensing matrix for the DMD-based SPI. The analysis process divides the complex sensing matrix into real sensing matrix and imaginary sensing matrix, and multiple imaging is performed with these sensing matrices. After synthesizing the real and imaginary measurements, the final image of complex deterministic sensing matrix is reconstructed. The performance of deterministic sensing matrix is investigated through simulation and experiment. Compared with the random sensing matrix, the deterministic sensing matrix gives more favorable reconstructed images.
Highlights
Single-pixel imaging (SPI) uses detector with one single pixel to acquire object information instead of the millions of pixels used in the imaging sensors of conventional digital cameras
Illuminating objects with patterns can be associated with ghost imaging [1, 2] and filtering the light reflected from object with patterns refers to single-pixel camera [3, 4]
We present the use of deterministic sensing matrices to sample the signals in the SPI and the aim is to prove the superiority of deterministic sensing matrices in SPI
Summary
Single-pixel imaging (SPI) uses detector with one single pixel to acquire object information instead of the millions of pixels used in the imaging sensors of conventional digital cameras. The signals recorded by the single-pixel detector are correlated with spatially coded patterns so that the objects can be reconstructed from a series of time-synchronized coded samplings. For the intensity-based SPI, the coded patterns are generally a rapidly-shifting sequence of binary (black-and-white) patterns similar to crossword puzzles. This binary pattern can be generated by a spatial light modulator (SLM) or a digital micro-mirror device (DMD). It utilizes a DMD to displaying a time sequence of random binary sensing patterns, and captures the average light with a single-pixel photodetector. The first-hand report, which uses an intensitymodulated DMD to achieve complex-valued sensing matrices, is presented. A combination of DMD-based SPI system and a Noiselet-based complex-valued deterministic sensing matrix is experimented to demonstrate our proposal
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