for implementing a system that will control hardware, I need an interpolation between points on a graph that does never overshoot. By overshooting I mean that between two points there may be no y-result that has a higher value than either of thew two points.
First I thought that "monotone cubic interpolation" might be what I need, however after implementation I found that this isn't always the case. After researching, I found that this only reduces overshooting, doesn't prevent it entirely. That can also be seen here, I think: Implementation of Monotone Cubic Interpolation )
So what other algorithms/formulas could fulfill this requirement?
Huge thanks in advance!