HYPERSPECTRAL IMAGE RECONSTRUCTION VIA A COMPRESSED SENSING FRAMEWORK

What is disclosed is a system and method for image reconstruction using a compressed sensing framework to increase the number of wavelength bands in hyperspectral video systems. The present method utilizes a restricted representation matrix and sampling matrix to reconstruct bands to a very large number without losing information content. Reference multi-band image vectors are created and those vectors are processed in a block-wise form to obtain custom orthonormal representation matrices. A sampling matrix is also constructed offline in the factory. The compressed sensing protocol is applied using a l1-norm optimization (or relaxation) algorithm to reconstruct large number of wavelength bands with each band being interspersed within the band of interest that are not imaged. The teaching hereof leads to very large number of bands without increasing the hardware cost.