Color의 분석과 그 응용(Ⅲ) : 수치해석법에 의한 Munsell Value Function의 해석 The Analysis of Munsell Vanue Function by Numerical Analysis Method = The Analysis of Color and its Application(Ⅲ)

다국어 초록 (Multilingual Abstract)

Many equations between tristimulus values and Munsell value function have been proposed and new ones are still appearing. In order to recommend the fifth degree polynomial equation among them for the analysis of color in the textile industry, the logic and the history of the experiments which Munsell value function was based on are briefly traced, beginning with the work of Bouguer over two centries ago. Two different types of laws, which may be called, respectively, the "logarithmic" and the "exponential" types are compared with Judd's polynomial and cube root functions.
An algorithm without calculating derivatives is developed to give the Munsell value function for any entered tristimulus values, using Dekker-Brent method. Use of the algorithm could reduce CPU time or elapsed time without making any overflow and underfow.