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3670 %  sigmoidal contrast algorithm.  Increase the contrast of the image using a
3671 % sigmoidal transfer function without saturating highlights or shadows.
3704 Sigmoidal function Sigmoidal with inflexion point moved to b and "slope
3714 scaled sigmoidal derivation is invariant under affine transformations of
3720 has to do with the construction of the inverse of the scaled sigmoidal.
3723 #define Sigmoidal(a,b,x) ( tanh((0.5*(a))*((x)-(b))) )
3725 #define Sigmoidal(a,b,x) ( 1.0/(1.0+exp((a)*((b)-(x)))) )
3728 Scaled sigmoidal function:
3730 ( Sigmoidal(a,b,x) - Sigmoidal(a,b,0) ) /
3731 ( Sigmoidal(a,b,1) - Sigmoidal(a,b,0) )
3738 the series expansion of the logistic sigmoidal function around x=b is
3745 (Sigmoidal((a),(b),(x))-Sigmoidal((a),(b),0.0)) / \
3746 (Sigmoidal((a),(b),1.0)-Sigmoidal((a),(b),0.0)) )
3748 Inverse of ScaledSigmoidal, used for +sigmoidal-contrast. Because b
3750 sigmoidal) may be outside of the interval (-1,1) (resp. (0,1)), even
3759 const double sig0=Sigmoidal(a,b,0.0);
3760 const double sig1=Sigmoidal(a,b,1.0);
3819 Sigmoidal-contrast enhance colormap.
3860 Sigmoidal-contrast enhance image.