Snapshot light field spectral imaging technology has been widely adopted in various fields because it can simultaneously capture both spatial information and spectral characteristics within the target scene. In the infrared band, Fourier imaging transform spectrometers (FTIS) have high spectral resolution and a signal-to-noise ratio. However, traditional FTIS can only obtain one-dimensional spectrum and two-dimensional image information, which cannot meet the three-dimensional depth perception needs of complex scenes. Therefore, this paper proposes a snapshot Fourier transform light field imaging spectrometer (SFTLFIS), which is capable of capturing a four-dimensional data cube composed of three-dimensional spatial information () and one-dimensional spectral information () of the target scene in a single exposure. The light from the target scene first passes through a lenslet array for field-of-view modulation, then undergoes phase modulation via stepped mirrors, and is finally captured by the detector as 64 interferometric sub-aperture images encoding both spatial and phase information. The depth information of the target scene is extracted by calculating the Epipolar Plane Images (EPI). Subsequently, the non-uniform interference sampling which is inherently caused by this disparity is compensated and corrected through a regularized iterative method. Through experiments on plaster targets, blackbody targets, and irregular aluminum alloy targets, it can be concluded that the 3D reconstruction results of the images after super-resolution processing have been significantly improved. Moreover, SFTLFIS performs better in reconstructing objects with continuous surfaces. After ICP registration, the average Euclidean distance can reach 1.11 mm and 1.15 mm. However, for irregular objects with discontinuous surfaces, such as irregular aluminum alloys, the 3D reconstruction results are relatively poor, with an average Euclidean distance of 2.56 mm. In terms of spectral reconstruction, the regularization iterative correction method was used to perform spectral reconstruction experiments on the three types of targets mentioned above. The spectral angle error for the plaster target is less than 12.0°, the blackbody spectral angle error is 22.21°, and the aluminum profile spectral angle error is 15.10°. These results validate the feasibility of the SFTLFIS as a compact, fast, and multi-dimensional mid-wave infrared information detection system.
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