A program for a high-speed digital electronic computer is described for performing the computation of the Munsell renotations H, V, C corresponding to given CIE chromaticity coordinates x, y and daylight reflectance Y. Mathematically, this is equivalent to a three-dimensional coordinate transformation where two of the three transformation functions are given only numerically for a grid of discrete points. Since this grid consists of approximately 5000 points which are nonuniformly spaced, the major problem was to devise an economic scanning routine in order to find the point used in the interpolation. This was accomplished by consistent use of vector algebra and the help of an interpretive routine for vector operations.
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