Reversing the Murray Davies Dot Gain Equation
Reversing the Murray Davies Dot Gain Equation
- Subject: Reversing the Murray Davies Dot Gain Equation
- From: Lee Badham <email@hidden>
- Date: Tue, 19 Sep 2006 09:39:54 +0100
Hi,
The Murray Davies equation is used to calculate the dot area based on
the density of the paper, dot and solid areas.
I've been trying to reverse the equation so that I can calculate the
solid density, if I know the dot density and the percentage, but keep
getting math errors (log of a negative number).
The Murray Davies equation is
D=100*(1-(10^(D0-Dn))/(1-10^(D0-D100))
Where D=Dot percentage
D0 = density of paper
D100 = solid density
Dn = density of area read
I'm trying to change the equation around to calculate D100, if I know D
The equation I came up with (which doesn't work) is
D100=D0-Log10((1-((1-10^(D0-Dn))*100/D)
D has been calculated by using the XYZ values for the colour.
I'm getting a headache just looking at these equations now. Hope
someone can help
For an easier display of the Murray Davies equation please visit
http://www.brucelindbloom.com and click on Math, then near the bottom
of the page, there's a link to the Dot Gain page.
Lee Badham
Bodoni Systems Ltd
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