Metamer Crossovers of Infinite Metamer Sets

For a fixed illuminant and observer there is a whole set of reflectances resulting in an identical response, these reflectances are called metamers. It can be shown analytically that all reflectances in each such set must intersect at least three times. There is a large amount of literature arguing about the properties of these sets, in particular about the position and number of nodes of intersections. The results in the literature, based on relatively small data sets, vary in particular as a consequence of different methods used for generating metamers. Using a new method based on statistical information from measured sets, metamer sets are generated. These infinite metamer sets are then studied for their inner structure in terms of cross-over behavior. The results presented here confirm the result of there being three major wavelengths of intersection. These are around 450nm, 540nm and 610nm.