An As-Short-as-Possible Mathematical Assessment of Spectrophotometric Color Matching
Titel:
An As-Short-as-Possible Mathematical Assessment of Spectrophotometric Color Matching
Auteur:
R. Furferi M. Carfagni
Verschenen in:
Journal of applied sciences
Paginering:
Jaargang 10 (2010) nr. 18 pagina's 2108-2114
Jaar:
2010
Inhoud:
Color match prediction is one of the most important aspects to be considered by industries dealing with colorants. Several generally applicable theoretical models have been proposed so far for helping the colorists in achieving an exact color match. Such approaches, often based on extensive experimental tests and provided of exhaustive results, are differentiated by a specific range of application (textiles, study, paintings, etc.). Therefore, the results are subjected to restrictions or constraints (number of colorants, reliability of the prediction, etc.). The present paper describes, into a mathematical form, three widely known techniques adopted in the scientific literature for evaluating the spectrophotometric color match prediction of a target shade: Kubelka-Munch, Stearns-Noechel and Artificial Neural Networks. The proposed method starts from such wide known methodologies and by means of mathematical assessment provides some useful equations to be straightforwardly used for color matching. Moreover an Artificial Neural Network based formulation is provided. The results of the work shows that the expected color distance between the predicted the real color of a shade is less than 0.8, in terms of CIE L*a*b* distance.
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