Endmembers serve as reference spectral signatures for the sources expected in a measurement. The method compares each pixel spectrum with these references and estimates an abundance coefficient for each one. Those coefficients indicate how strongly each source contributes to that pixel, allowing the resulting component maps to represent source-specific distributions rather than only mixed intensity.
Least-squares fitting estimates coefficients that best account for the measured spectrum using the reference spectra. Adding nonnegative constraints restricts those coefficients to zero or positive values. This distinction matters when coefficients are interpreted as source abundances, because the constraint prevents negative contributions from appearing in the estimated composition and can make the result easier to interpret.
When fluorescent labels or activity-related signals have overlapping emission spectra, intensity alone cannot reliably show which source produced a measured signal. Estimating separate coefficients assigns portions of the mixed spectrum to the relevant references. The resulting source-specific maps can reduce spectral cross-talk, helping researchers localize molecular signals or distinguish cellular structures in multiplexed recordings.
An analysis begins with spectra measured from microscopy pixels and a set of reference spectra, or endmembers. The method fits each measured spectrum as a combination of those references, calculates the corresponding abundance coefficients, and organizes them into component maps. Researchers can then inspect the maps to interpret where each molecular, structural, or activity-related signal contributes.
In neuroscience, the approach is useful when fluorescent labels, cellular structures, and activity-related signals occupy overlapping spectral ranges. It can separate their estimated contributions within multiplexed recordings, making it easier to localize molecular signals and analyze the spatial distribution of components. This supports visualization and quantitative analysis when physical separation alone is insufficient for interpretation.
Each component map should be read as an estimate of a source's contribution across the measured image, based on its abundance coefficients and reference spectrum. These maps do not represent a physically isolated signal by themselves; they provide computationally separated views of overlapping measurements. Their value lies in improving visualization and quantitative interpretation of multiplexed neural recordings.