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Fourier single-pixel imaging (FSI) is a data-efficient single-pixel imaging
(SPI). However, there is still a serious challenge to obtain higher imaging
quality using fewer measurements, which limits the development of real-time
SPI. In this work, a uniform-sampling foveated FSI (UFFSI) is proposed with
three features, uniform sampling, effective sampling and flexible fovea, to
achieve under-sampling high-efficiency and high-quality SPI, even in a
large-scale scene. First, by flexibly using the three proposed foveated pattern
structures, data redundancy is reduced significantly to only require high
resolution (HR) on regions of interest (ROIs), which radically reduces the need
of total data number. Next, by the non-uniform weight distribution processing,
non-uniform spatial sampling is transformed into uniform sampling, then the
fast Fourier transform is used accurately and directly to obtain under-sampling
high imaging quality with further reduced measurements. At a sampling ratio of
0.0084 referring to HR FSI with 1024*768 pixels, experimentally, by UFFSI with
255*341 cells of 89% reduction in data redundancy, the ROI has a significantly
better imaging quality to meet imaging needs. We hope this work can provide a
breakthrough for future real-time SPI.

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