Alternative sampling functions for single-pixel imaging with a digital micromirror device

摘要

Single-pixel imaging employs structured illumination to record images with very simple light detectors. It can bean alternative to conventional imaging in certain applications such as imaging with radiation in exotic spectralregions, multidimensional imaging, imaging with low light levels, 3D imaging or imaging through scatteringmedia. In most cases, the measurement process is just a basis transformation which depends on the functionsused to codify the light patterns. Sampling the object with a different basis of functions allows us to transformthe object directly onto a different space. The more common functions used in single-pixel imaging belong to theHadamard basis or the Fourier basis, although random patterns are also frequently used, particularly in ghostimaging techniques. In this work we compare the performance of different alternative sampling functions forsingle pixel imaging, all of them codified with a digital micromirror device (DMD). In particular, we analyze theperformance of the system with Hadamard, cosine, Fourier and noiselet patterns. Some of these functions arebinary, some others real and other complex functions. However, all of them are codified with the same DMDby using different approaches. We perform both numerical and experimental tests with the different samplingfunctions and we compare the performance in terms of the efficiency and the signal-to-noise ratio (SNR) of thefinal images.