M.L. Pearson and J.A. Yule. Transformations of color mixture functions without negative portions. J. Color and Appearance, 2:30--35, 1973. Home/Search Document Not in Database Summary Related Articles Check |
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Spectral Sharpening with Positivity - Drew, Finlayson (1999) (2 citations) (Correct)
....that the scalar coefficients that multiply sensor functions in a linear transform be themselves positive. We investigate this premise both analytically and by use of numerical optimization techniques. This work is in a sense the natural completion of that begun by MacAdam, and Pearson and Yule [5]. These authors formed linear combinations of the human colour matching functions, adding various proportions of the curves until negatives resulted. Here we use a straightforward optimization technique instead, but in addition make the Pearson Yule procedure steerable, as it were, by also ....
....geometry. However the method used here is likely less complex than the required construction of the set of all positive sensors. In a sense, the constrained coefficients and constrained sensors techniques presented here are a natural completion to the work of MacAdam, and Pearson and Yule [5]. The main advantage of using an optimization, with positivity, that maximizes energy concentration in desired sharpening intervals is that the process of making positive linear combinations of sensor curves is guided not by simply decreasing crosstalk or making the most narrow curves, but by the ....
M.L. Pearson and J.A. Yule. Transformations of color mixture functions without negative portions. J. Color and Appearance, 2:30--35, 1973.
Positive Bradford Curves through Sharpening - Finlayson, Drew (1999) (1 citation) (Correct)
....lobe problem led us to develop a constrained spectral sharpening [5] that returns sharp sensors that are all positive. This naturally forces RGB colour values in the sharpened space to be positive. This work is in a sense the natural completion of that begun by MacAdam, and Pearson and Yule [6]. These authors formed linear combinations of the colour matching functions, adding various proportions of the curves until negatives resulted. Here we use a straightforward optimisation technique instead, but in addition make the Pearson Yule procedure steerable, as it were, by also insisting ....
....while every Bradford curve actually has some negative values. The unconstrained minimisation can, of course, produce better energy concentration because we allow negative lobes. For comparison, we also show the energy concentration for the MacAdam curves quoted by Pearson and Yule [6]. Another useful feature of sharpened sensors is that any crosstalk between sensors is usually diminished. Let us define crosstalk # between channels i and j of sensors Q by the angle # = cos 1 ( q t i q j #q i ##q j # ) 15) where q i is the ith column of Q . The ideal value for ....
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M.L. Pearson and J.A. Yule. Transformations of color mixture functions without negative portions. J. Color and Appearance, 2:30--35, 1973.
Device-Independent Color via Spectral Sharpening - Drew, Finlayson (1994) (1 citation) (Correct)
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M.L. Pearson and J.A. Yule. Transformations of color mixture functions without negative portions. J. Color and Appearance, 2:30--35, 1973.
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