Patent ID: 7491944

Claim:
A method to analyze remotely sensed spectral data, comprising: (a) acquiring a remotely sensed spectral data set, X; (b) modeling the data set according to X=C true S true T+1a T +E instr , where C true is a matrix of true abundances for components contained within a remote scene, S true is a corresponding matrix of true spectral endmembers for the components, T is a matrix of atmospheric transmittance values, 1 is a vector of ones, a T is a vector representing an additive, atmospheric component, and E instr is a matrix describing instrument noise; (c) calculating the atmospheric transmittance matrix T and additive atmospheric component a T to provide an atmospherically compensated data set according to X c =(X−1a T )T −1 =C true S true +E instr ; and (d) obtaining a multivariate curve resolution (MCR) estimate of C true and S true , subject to constraints.