The Role of Schwartz Measures in Human Tri-Color Vision

M. L. Sloan
6/22/2023
q-bio.NCcs.CVmath.PR

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Abstract

The human tri-color vision process may be characterized as follows: 1. A requirement of three scalar quantities to fully define a color (for example, intensity, hue, and purity), with 2. These scalar measures linear in the intensity of the incident light, allowing in general any specific color to be duplicated by an additive mixture of light from three standardized (basis) colors, 3. The exception being that the spectral colors are unique, in that they cannot be duplicated by any positive mixture of other colors. These characteristics strongly suggest that human color vision makes use of Schwartz measures in processing color data. This hypothesis is subject to test. In this brief paper, the results of this hypothesis are shown to be in good agreement with measured data.

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Cite this paper

@article{sloan2023role,
  title  = {The Role of Schwartz Measures in Human Tri-Color Vision},
  author = {M. L. Sloan},
  year   = {2023},
  eprint = {2307.05377},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2307.05377v1}
}

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