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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 22, Iss. 6 — Jun. 1, 1932
  • pp: 369–385


W. F. HAMILTON and ELLIS FREEMAN  »View Author Affiliations

JOSA, Vol. 22, Issue 6, pp. 369-385 (1932)

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  1. The symbol mµ is omitted here and hereafter.
  2. We feel obliged to note that in making the mathematical transformations of our data into the "unit" equations of Ives, Guild, and Wright, we have not conceded the propriety of such a procedure. (We hope in a future paper to be able to demonstrate that the physiological realities are not represented with equal fidelity by all the theoretically equivalent results which are produced by these transformations.) We regard this transformation of our data as an at present unavoidable expedient in order to supply a common basis of comparison for the three sets of data. As our comparison involves only the question of saturation, and as the rightangled presentation symbolizes the relationship in this regard between the three sets of data, we feel justified in using this form so long as we do not commit ourselves to the more general principal that transformations give physiologically equivalent values. We feel that it is in order to question the propriety of these transformations and "unit" equations, frequently involving negative quantities which can have no direct and immediate physiological significance. The results of such operations represent relationships which are so many removes from the actual data and the physiological processes themselves that they would seem to obscure the picture of physiological events in the visual mechanism that we are primarily interested in getting.
  3. In making color mixture matches, 517 without the addition of blue would serve to make a perfect match with all wave lengths greater than 517. That this is so with the protanope may signify the loss of a process which corresponds to the red apparatus in the normal. The fact that the deuteranope can also make the same matches implies that the remaining functional process is very similar to the normal green curve and to the protanopic "long" curve in the middle regions of the spectrum. The principal difference seems to be that it extends much farther into the red.
  4. It is, of course, conceivable that the red impurity is in the 517 and not the 480. In the discussion of this very minute amount, which we have been unable to measure, we have arbitrarily ascribed it to 480, and in our plots ignored it in dealing with mixtures to match 500.
  5. For 500 down the elevation of the green curve is justified because it is based directly upon measurements of the slit of the green primary. The corresponding depression of the blue curve has arbitrarily been made equal to the elevation of the green. This is consistent because all data have been presented in terms of slit widths without regard to chroma cancelling power and luminosity.
  6. For the same reason similar adjustments were made in Table V for the values of green and blue in the white match, the green designation being increased and the blue decreased.

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