Abstract
This paper presents a novel snapshot imaging spectrometer based on the image mapping and compressed sensing concept named Compressed Sensing Image Mapping Spectrometer (CSIMS). The operation principle is to slice the input image to different directions and encode the strip pieces before dispersion by a prism. The detector obtains the mixture spatial-spectral data simultaneously. The datacube is reconstructed by the compressed sensing algorithm and combining all the pieces together. The mathematical model of CSIMS is established to describe the light wave propagation through the entire system based on the scalar diffraction theory. The simulations are conducted to prove the effectiveness of the CSIMS principle, and the results show that the reconstructed datacube reveals higher spatial resolution and more accurate spectral curves than that of the relative snapshot imaging spectrometer based on compressed sensing.
Highlights
Imaging spectrometer originated in 1980s, which can obtain two-dimension (2-D) spatial distribution and one-dimension (1-D) spectral radiation (3-D datacube) of the target
The Compressed Sensing Image Mapping Spectrometer (CSIMS) imaging simulation is conducted based on the model in Eq (9), and the coded aperture snapshot spectral imaging (CASSI) imaging simulation is based on the model established in the article [8]
To ensure the same size reconstructed datacube, the coded aperture used in CASSI and the coded image mapper used in CSIMS are designed to contain the same number of elements
Summary
Imaging spectrometer originated in 1980s, which can obtain two-dimension (2-D) spatial distribution and one-dimension (1-D) spectral radiation (3-D datacube) of the target. This technology can be used in astronomical observation, disease diagnosis, safety monitoring, remote sensing and military reconnaissance etc. The data quality would be influenced by the working status of the instruments, the stability of the platform and the variation of the dynamic targets, which can not be recovered by postprocessing [1]. The snapshot imaging spectrometer (SIS) can collects the datacube in a single exposure period without scanning, which introduces the advantages of snapshot systems such as the compactness of the instruments, increasing the robustness, the lack of scanning component and high light collection. Many kinds of SIS arisen in recent years such as
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