I am making a rating system for shaking/tilting videos, where the incoming data is (unfortunately) integers that are counters for when the video is shaking or tilting outside of expected "good" dead-zone. Video duration, shaking, tilt, width, height.
I was thinking that I might map the rating using a curve that as the integer approaches "infinity" my internal shaking value approaches 1.0
Then do the same with tilt. Now I am just using hyperbolic tan.
What would you do, and how do I create this curve in such a way that it rises logarithmically?
If the current system we are using (the counters) is really bad, what do you suggest instead?