Can One Recover the Underlying Spectral Data Matrix From a Given Borgen Plot?

ABSTRACT In multivariate curve resolution (MCR), Borgen plots represent the regions of feasible pure component profiles underlying spectral mixture data. A Borgen plot can be constructed geometrically in the low‐dimensional ‐ and ‐spaces if the so‐called outer polygon (representing nonnegativity constraints) and the inner polygon (i.e., the convex hull of the data representing points) are given. This paper asks whether it is possible to construct spectral data from the data representing points spanning the polygons and thus reconstruct the data from the associated Borgen plot. A partially positive answer is given.