	US 7,491,944 B1
	Method to analyze remotely sensed spectral data
Christopher L. Stork, Albuquerque, N. Mex. (US); and Mark H. Van Benthem, Middletown, Del. (US)
Assigned to Sandia Corporation, Albuquerque, N. Mex. (US)
Filed on Apr. 25, 2006, as Appl. No. 11/410,445.
Claims priority of provisional application 60/699273, filed on Jul. 14, 2005.
Int. Cl. G06F 7/52 (2006.01)

U.S. Cl. 250—390.07

12 Claims

1. 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_trueS_trueT+1a^T+E_instr, where C_trueis a matrix of true abundances for components contained within a remote scene, S_trueis 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^Tis a vector representing an additive, atmospheric component, and E_instris a matrix describing instrument noise;

(c) calculating the atmospheric transmittance matrix T and additive atmospheric component a^Tto provide an atmospherically compensated data set according to X_c=(X−1a^T)T⁻¹=C_trueS_true+E_instr; and

(d) obtaining a multivariate curve resolution (MCR) estimate of C_trueand S_true, subject to constraints.