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Examination method for the evaluation of location-dependent spectra

  • US 5,812,630 A
  • Filed: 09/13/1994
  • Issued: 09/22/1998
  • Est. Priority Date: 09/15/1993
  • Status: Expired due to Term
First Claim
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1. An examination method whereby a respective spectrum with a number of spectral values is measured for a number of locations, the method comprising the following steps:

  • a) forming a data matrix (X) from spectrum vectors (Xi) formed by a series of spectral values of a respective spectrum, the spectrum vectors being arranged in columns or rows of the data matrix in a location-dependent manner,b) singular value decomposing the data matrix in order to obtain three matrices (U, C, VT) whose product corresponds to the data matrix, the first or third matrix thereof including spectrally dependent singular vectors (Uj), whereas the second matrix is a diagonal matrix (G) and the third or first matrix includes location-dependent singular vectors,c) evaluation of at least one of the three matriceswherein, for identification of a substance of known spectrum,i) scalar multiplication is performed fora spectrum vector (Ri) formed by the spectral values of the known spectrum, andthe spectrally dependent vectors (Uj), to form a coefficient (cij)ii) associated ones of the spectrally dependent singular vectors (Uj) are weighted by the coefficient (cij) and subsequently summed to form a sum vector, andiii) the sum vector is compared with the spectrum vector (Ri) of the known spectrum.

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