Developing methods for identifying the inflection point of a convex/concave curve
For researchers needing to detect inflection points in curve fitting, but the work is incremental with limited validation.
The paper introduces two methods to identify the inflection point of convex/concave curves, tested on sigmoid curves and third-order polynomials. No concrete numerical results are reported.
We are introducing two methods for revealing the true inflection point of data that contains or not error. The starting point is a set of geometrical properties that follow the existence of an inflection point p for a smooth function. These properties connect the concept of convexity/concavity before and after p respectively with three chords defined properly. Finally a set of experiments is presented for the class of sigmoid curves and for the third order polynomials.