Development of an automatic conversion method for the conversion of a CIE-XYZ color system to a DIN color system

The DIN color system is a visually uniform system adopted as the standard by several countries in central Europe. Currently, the conversion method from CIE-XYZ color system to DIN color system consists of the DIN 6164 method combined with the manual reading method. However, the DIN 6164 method cannot be used for the edges of a chromaticity diagram. The manual reading method can read all areas in a chromaticity diagram; however, it is too inefficient to convert large quantities of data. This study builds on the manual reading method to create a new method entitled the program reading method. Upon comparing the relative error, absolute error and conversion times of all methods, it was determined that the program reading method achieved higher accuracy than that of the manual reading method. The maximum relative error of the program reading method was 3.24%; however, the conversion time for each sample was 0.07 s, which was 3.5 times slower than that of the DIN 6164 method. Based on these findings, this study proposes an automatic conversion method that combines the strengths of both approaches: the DIN 6164 method to be used for interpolable areas and the program reading method to be used for areas that cannot be interpolated. The automatic conversion method outlined in this study provides an efficient, precise and fast way to convert a CIE-XYZ color system to a DIN color system.