8 November 2002 Computational modeling of the imaging system matrix for the CTIS imaging spectrometer
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Imaging systems such as the Computed Tomographic Imaging Spectrometer (CTIS) are modeled by the matrix equation g = Hf, which is the discretized form of the general imaging integral equation.. The matrix H describes the contribution to each element of the image g from each element of the hyperspectral object cube f. The vector g is the image of the spatial/spectral projections of f on a focal plane array (FPA). The matrix H is enormous, sparse and rectangular. It is extremely difficult to discretize the integral operator to obtain the matrix operator H. Normally H is constructed empirically from a series of monochromatic calibration images, which is a time consuming process. However we have been able to synthetically construct H by numerically modeling how the optical and diffractive elements in the CTIS project monochromatic point source data onto the FPA. We can evaluate a CTIS system by solving the imaging equation for f using both the empirical and synthetic H from some test data g. Comparison between the two results provides a means to evaluate and improve CTIS system calibration procedures noting that the synthetic system matrix H represents a baseline ideal system.
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James F. Scholl, James F. Scholl, Eustace L. Dereniak, Eustace L. Dereniak, John Phillips Garcia, John Phillips Garcia, Christopher P. Tebow, Christopher P. Tebow, Dennis J. Garrood, Dennis J. Garrood, } "Computational modeling of the imaging system matrix for the CTIS imaging spectrometer", Proc. SPIE 4816, Imaging Spectrometry VIII, (8 November 2002); doi: 10.1117/12.451582; https://doi.org/10.1117/12.451582

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