Computational modeling of the imaging system matrix for the CTIS imaging spectrometer

James F. Scholl; Eustace L. Dereniak; John Phillips Garcia; Christopher P. Tebow; Dennis J. Garrood

doi:10.1117/12.451582

8 November 2002 Computational modeling of the imaging system matrix for the CTIS imaging spectrometer

James F. Scholl, Eustace L. Dereniak, John Phillips Garcia, Christopher P. Tebow, Dennis J. Garrood

Proceedings Volume 4816, Imaging Spectrometry VIII; (2002) https://doi.org/10.1117/12.451582
Event: International Symposium on Optical Science and Technology, 2002, Seattle, WA, United States

Abstract

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.

Citation Download Citation

James F. Scholl, Eustace L. Dereniak, John Phillips Garcia, Christopher P. Tebow, and Dennis J. Garrood "Computational modeling of the imaging system matrix for the CTIS imaging spectrometer", Proc. SPIE 4816, Imaging Spectrometry VIII, (8 November 2002); https://doi.org/10.1117/12.451582

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