Modeling of an Object Chromaticity With a Given Emission Spectrum

This study is devoted to an object chromaticity modeling by its given emission spectrum. It's important for education, scientific and industrial purposes and can be used for optical phenomena modeling, virtual reality applications, etc. The problem is that not all colors which are obtained by standard transformation of the spectrum can be displayed in RGB color space. This work proposes solution to the problem as a solution to a specific constrained optimization problem. The analysis of the target function and boundary conditions revealed the uniqueness of the solution. A special minimization algorithm and appropriate software were developed to solve the optimization problem. A kit of 60 standard color optical glasses with known transmission spectra was used for testing the calculation results. It turned out that color of more than 55% of the samples required optimization (RGB color obtained by standard transformations goes beyond the range of the valid values). A special instrument was created for experimental matching of the optical glasses color in RGB color space. Software testing was performed by comparing calculation and experimental results. Testing has shown that after optimization the color of 90% of the samples was visually close to the experimentally obtained one.