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Non-linear interpolation about color.js HOT 3 CLOSED

color-js avatar color-js commented on May 22, 2024
Non-linear interpolation

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Comments (3)

svgeesus avatar svgeesus commented on May 22, 2024

Interpolation with curves can produce out of gamut values due to curve overshoot. It is desirable to minimize this, and come curve interpolation methods have no overshoot.

This overview of interpolation mentions cosine interpolation, which is very straightforward code-wise and avoids the obvious discontinuities produced by linear interpolation, while having no overshoot:

linear
cosine

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svgeesus avatar svgeesus commented on May 22, 2024

compare

double LinearInterpolate(
   double y1,double y2,
   double mu)
{
   return(y1*(1-mu)+y2*mu);
}

with

double CosineInterpolate(
   double y1,double y2,
   double mu)
{
   double mu2;

   mu2 = (1-cos(mu*PI))/2;
   return(y1*(1-mu2)+y2*mu2);
}

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LeaVerou avatar LeaVerou commented on May 22, 2024

Closing this since we already have non-linear-interpolation, and opened #410 to track shortcuts

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