In graphics, we often need a way to filter or smoothen out a signal. Below is a collection of some functions that can be used to do that along with their respective plots. The input signal x is assumed to be in the [-1, 1] value range: \(1.0 - |x|^a\) a = 0.5 a = 1.0 a = 2.5 a = 5.0 a = 25.0 \(cos(\frac{\pi * x}{2.0})^a\) a = 0.5 a = 1.0 a = 2.5 a = 5.0 a = 25.0 \(1.0 - |sin(\frac{\pi * x}{2.0})|^a\) a = 0.5 a = 1.0 a = 2.5 a = 5.0 a = 25.0 \(min(cos(\frac{\pi * x}{2.0}), 1.0 - |x|)^a\) a = 0...
