Falloff Functions

If you use math to make things look or feel nice - movements, transitions, or various falloff effects - then this tip might be for you. After making this video I found out that Christophe Schlick’s approximation of Ken Perlin's bias function (as seen in Game Programming Gems 2) is similar to these, but more elegant. It goes: f(x) = x / ((1 / b - 2) * (1 - x) + 1) In that version the b value is in the range 0...1 where 0.5 is linear. Additionally, the b value actually corresponds to the output value you get for an input value of 0.5! This is super "Schlick"!