Optimal Spectral Sampling for Color Imaging
Borges, Carlos F.
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I consider the problem of numerically computing tristimulus values for a given spectral power density. In particular, I examine the use of interpolatory quadrature rules for the solution of this problem. A good deal of effort has gone into creating tables of weights and abcissas for solving this problem . Wallis  has proposed a more sophisticated approach using Gauss quadrature rules. I show that the performance of these techniques can be improved in a well-defined sense, and derive a method based on a new class of quadrature rules. These rules give optimal performance in the sense that they maximize the overall degree of precision while simultaneously minimizing the number of function evaluations.
The article of record as published may be found at 10.1117/12.2322246SPIE/IS&T 1992 Symposium on Electronic Imaging: Science and Technology, 1992, San Jose, CA, United States
RightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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