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 $LFBC@u$RTBC 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. !7
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机译：摘要：线性的空间变异成像系统，例如计算机断层摄影成像光谱仪（CTIS），自然地是通过一个系统矩阵来描述的，该矩阵表示从对象空间（在这种情况下为三维）到图像空间（两个）的映射-维）。可以对这样的矩阵进行分析以揭示跨越对象空间的一组向量$ LFBC @ u $ RTBC。另外，获得了奇异值的频谱，该频谱定义了每个矢量u对图像空间的贡献。我们介绍了两个模拟的CTIS系统（每个都有不同数量的分散图像）和一个实验性CTIS的分析结果。由于中心切片定理，向量的结构与预期一致。 ！7
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