Restricted Isometry Property in coded aperture compressive spectral imaging

Coded Aperture Snapshot Spectral Imaging Systems (CASSI) capture the spectral information of a scene using a set of coded focal plane array measurements. Compressed sensing reconstruction algorithms are used to reconstruct the underlying spectral 3D data cube. The coded measurements in CASSI use structured sensing matrices. This article describes the Restricted Isometry Property (RIP) for the projection matrices used in CASSI. In turn, the RIP provides guidelines for the minimum number of FPA measurement shots needed for image reconstruction. It also provides the optimal transmittance parameters for the set of code apertures used in the acquisition process.