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Simultaneous spatial, spectral, and 3D compressive imaging via efficient Fourier single-pixel measurements

Posted on 2018-03-19 - 14:02
The energy of a natural scene typically concentrates on certain regions of the Fourier space. This provides extra degrees of freedom for incorporating additional object information into a single Fourier spectrum measurement. Here we report a multi-modality compressive imaging approach that simultaneously encodes and recovers spatial, spectral and 3D information of the object. In this approach, we employ two masks to modulate the object information in the Fourier space and detect the light signal using a single-pixel detector. The data compressing operation is similar to compression algorithms that selectively store the largest coefficients in a transform domain. In our case, we selectively sample the largest coefficients of the Fourier spectrum and no iterative optimization process is needed in the recovery process. We demonstrate an 88% compression ratio (88% measurements saved) for producing high-quality full-color 3D images. The reported approach provides a solution for information multiplexing in single-pixel imaging settings. It may also generate new insights for developing multi-modality computational imaging systems.

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