This paper introduces a lattice algebra procedure that can be used for the multispectral analysis of historical documents and artworks. Assuming the presence of linearly mixed spectral pixels captured in a multispectral scene, the proposed method computes the scaled min- and max-lattice associative memories to determine the purest pixels that best represent the spectra of single pigments. The estimation of fractional proportions of pure spectra at each image pixel is used to build pigment abundance maps that can be used for subsequent restoration of damaged parts. Application examples include multispectral images acquired from the Archimedes Palimpsest and a Mexican pre-Hispanic codex.
© 2013 Optical Society of America
Original Manuscript: September 24, 2012
Revised Manuscript: December 5, 2012
Manuscript Accepted: December 20, 2012
Published: January 30, 2013
Juan C. Valdiviezo-N and Gonzalo Urcid, "Lattice algebra approach to multispectral analysis of ancient documents," Appl. Opt. 52, 674-682 (2013)