I'm working on something horror-themed, possibly for a portfolio. I have a visual effect which can be applied a certain amount, let's say a floating point number from 0 to 100 for the sake of argument. In keeping with the horror theme I want the effect to progress in a somewhat jerky unpredictable manner with pauses. Any assistance with choosing an appropriate function would be appreciated. Some desired characteristics are below:
- Some pseudo-random component
- Has pauses (plateaux)
- Has some sense of momentum (e.g. derivative has some pattern, not just spikes)
Some approaches that I considered which don't quite make the grade:
- A random walk with another function as the envelope (no pattern to derivative, timing too predictable)
- Some monotonic function plus noise (timing too predictable, may not be monotonic)
Maybe I'll have to go piecewise, but I hope not.
Any thoughts would be appreciated!