Pastuszczak Anna, Szczygieł Bartłomiej, Mikołajczyk Michał, Kotyński Rafał
Appl Opt. 2016 Jul 1;55(19):5141-8. doi: 10.1364/AO.55.005141.
Minimal mutual coherence of discrete noiselets and Haar wavelets makes this pair of bases an essential choice for the measurement and compression matrices in compressed-sensing-based single-pixel detectors. In this paper, we propose an efficient way of using complex-valued and nonbinary noiselet functions for object sampling in single-pixel cameras with binary spatial light modulators and incoherent illumination. The proposed method allows us to determine m complex noiselet coefficients from m+1 binary sampling measurements. Further, we introduce a modification to the complex fast noiselet transform, which enables computationally efficient real-time generation of the binary noiselet-based patterns using efficient integer calculations on bundled patterns. The proposed method is verified experimentally with a single-pixel camera system using a binary spatial light modulator.
离散噪声子波和哈尔小波的最小互相关性使得这对基成为基于压缩感知的单像素探测器中测量矩阵和压缩矩阵的重要选择。在本文中，我们提出了一种在具有二元空间光调制器和非相干照明的单像素相机中使用复值和非二元噪声子波函数进行目标采样的有效方法。所提出的方法使我们能够从m + 1个二元采样测量中确定m个复噪声子波系数。此外，我们对复快速噪声子波变换进行了改进，这使得能够使用对捆绑模式的高效整数计算，以计算高效的方式实时生成基于二元噪声子波的模式。所提出的方法通过使用二元空间光调制器的单像素相机系统进行了实验验证。
