Method of multivariate spectral analysis

United States Patent

6,675,106
January 6, 2004
View the Complete Patent at the US Patent & Trademark Office
Hyperspectral Imaging and Multivariate Curve Resolution
A method of determining the properties of a sample from measured spectral data collected from the sample by performing a multivariate spectral analysis. The method can include: generating a two-dimensional matrix A containing measured spectral data; providing a weighted spectral data matrix D by performing a weighting operation on matrix A; factoring D into the product of two matrices, C and S.sup.T, by performing a constrained alternating least-squares analysis of D=CS.sup.T, where C is a concentration intensity matrix and S is a spectral shapes matrix; unweighting C and S by applying the inverse of the weighting used previously; and determining the properties of the sample by inspecting C and S. This method can be used to analyze X-ray spectral data generated by operating a Scanning Electron Microscope (SEM) with an attached Energy Dispersive Spectrometer (EDS).
Keenan; Michael R. (Albuquerque, NM), Kotula; Paul G. (Albuquerque, NM)
Sandia Corporation (Albuquerque, NM)
09/873,078
June 1, 2001
702/28 ; 702/194; 702/196;
G01N 27/90 (20060101); G01J 3/28 (20060101); G06F 019/00 (); G06F 017/16 ();
702/27,28,189,194,196,197
FEDERALLY SPONSORED RESEARCH The United States Government has rights in this invention pursuant to Department of Energy Contract No. DE-AC04-94AL85000 with Sandia Corporation.