Mike's Brain » interpolation http://blog.witsmith.com Just ticking away... Sat, 04 Jul 2009 19:17:23 +0000 http://wordpress.org/?v=2.8.4 en hourly 1 Smoothstep interpolation for motion control http://blog.witsmith.com/2009/03/smoothstep-interpolation-for-motion-control/ http://blog.witsmith.com/2009/03/smoothstep-interpolation-for-motion-control/#comments Sun, 08 Mar 2009 23:06:12 +0000 Mike http://blog.witsmith.com/?p=36 “Adding little smoothness to all kinds of movement, be it actual movement of the camera, some object, fading of lights, fading in and out etc, makes things much more enjoyable to watch. Sharp movements and changes are jarring and should be avoided.

danthompsonsblog.blogspot.com/2009/02/smoothstep-interpolation-with-arduino.html
sol.gfxile.net/interpolation/index.html

For example, X ranges between points A and B in N steps.

With linear interpolation:

 for (i = 0; i < N; i++)
 {
   v = i / N;
   X = (A * v) + (B * (1 – v));
 } 

With smoothing:

#define SMOOTHSTEP(x) ((x) * (x) * (3 – 2 * (x)))
for (i = 0; i < N; i++)
 {
   v = i / N;
   v = SMOOTHSTEP(v);
   X = (A * v) + (B * (1 – v));
 }

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