Abstract
Fourier single-pixel imaging (FSI) employs Fourier basis patterns for encoding spatial information and is capable of reconstructing high-quality two-dimensional and three-dimensional images. Fourier-domain sparsity in natural scenes allows FSI to recover sharp images from undersampled data. The original FSI demonstration, however, requires grayscale Fourier basis patterns for illumination. This requirement imposes a limitation on the imaging speed as digital micro-mirror devices (DMDs) generate grayscale patterns at a low refreshing rate. In this paper, we report a new strategy to increase the speed of FSI by two orders of magnitude. In this strategy, we binarize the Fourier basis patterns based on upsampling and error diffusion dithering. We demonstrate a 20,000 Hz projection rate using a DMD and capture 256-by-256-pixel dynamic scenes at a speed of 10 frames per second. The reported technique substantially accelerates image acquisition speed of FSI. It may find broad imaging applications at wavebands that are not accessible using conventional two-dimensional image sensors.
Highlights
Fourier single-pixel imaging (FSI) employs Fourier basis patterns for encoding spatial information and is capable of reconstructing high-quality two-dimensional and three-dimensional images
We explore different binarization methods that are used in Fourier basis patterns binarization
We report a fast imaging technique that jointly employs image upsampling and an error diffusion dithering method to generate binary Fourier basis patterns for illumination
Summary
Fourier single-pixel imaging (FSI) employs Fourier basis patterns for encoding spatial information and is capable of reconstructing high-quality two-dimensional and three-dimensional images. The original FSI demonstration, requires grayscale Fourier basis patterns for illumination This requirement imposes a limitation on the imaging speed as digital micro-mirror devices (DMDs) generate grayscale patterns at a low refreshing rate. A single-pixel imaging technique, termed Fourier single-pixel imaging (FSI), was reported for producing high-quality two-dimensional (2-D)[30] and 3-D images[17]. This technique uses grayscale Fourier basis patterns for illumination and acquires the Fourier spectrum of the object image. The speed of this technique is limited by the grayscale-pattern-generating rate of the employed DMD. It is essential to adapt the original Fourier single-pixel imaging to a DMD-based imaging system so that high-quality and fast single-pixel imaging can be achieved
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