Analysis of the computed-tomography imaging spectrometer by singular-value decomposition

Michael R. Descour; Robert A. Schowengerdt; Eustace L. Dereniak

doi:10.1117/12.243235

17 June 1996 Analysis of the computed-tomography imaging spectrometer by singular-value decomposition

Michael R. Descour, Robert A. Schowengerdt, Eustace L. Dereniak

Proceedings Volume 2758, Algorithms for Multispectral and Hyperspectral Imagery II; (1996) https://doi.org/10.1117/12.243235
Event: Aerospace/Defense Sensing and Controls, 1996, Orlando, FL, United States

Abstract

A linear spatially variant imaging system, such as the computed-tomography imaging spectrometer (CTIS), is naturally described by means of a system matrix that represents the mapping from object space (three dimensional, in this case) to image space (two-dimensional). Such a matrix can be analyzed to reveal a set of vectors {u} that span the object space. In addition, a spectrum of singular values is obtained that defines the contribution of each vector u to the image space. We present the results of such an analysis for two simulated CTIS systems, each with a different number of dispersed images, and an experimental CTIS. The structure of the vectors is consistent with expectations due to the central-slice theorem.

Citation Download Citation

Michael R. Descour, Robert A. Schowengerdt, and Eustace L. Dereniak "Analysis of the computed-tomography imaging spectrometer by singular-value decomposition", Proc. SPIE 2758, Algorithms for Multispectral and Hyperspectral Imagery II, (17 June 1996); https://doi.org/10.1117/12.243235

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