SYSTEMS AND METHODS FOR DETERMINING SPECTRA USING DYNAMIC KARHUNEN-LOEVE ALGORITHMS WITH MEASUREMENTS FROM LED COLOR SENSOR

An LED-based spectrophotometer uses a reconstruction algorithm, based on the spectral characteristics of the illumination source and the color sensing system, to convert integrated multiple illuminant measurements from a non-fully illuminant populated color sensor into a fully populated spectral curve using a reference database. The reference database contains training samples that indicate reflectance spectra and their corresponding LED sensor output. A dynamic, Karhunen-Loeve-based (DKL) spectral reconstruction algorithm, used to reconstruct spectra, gives greater importance to the data from the training samples in the neighborhood of the color sample under measurement. This is done using linear operators and basis vectors.