2d path "shrink-wrap" algorithms

Question

Suppose we are given some 2d path geometry. Is there an algorithm that could produce a new path that "wraps" the geometry in a similar form as below?

The effect should be similar to how an object looks when it is shrink-wrapped. Thanks in advance

Answer 1

You could try using quadratic splines with anchors at the vertices at the start of a concave area, and a control point at a location inside the concave area.

The control point location will have to be determined based on the local geometry.

something like this, maybe?

The algorithm could be:

1- find the convex hull  
2- for each concave segment (where the convex hull doesn't match the polygon path):  
    2a - id the start and end point as anchors  
    2b - id a control point position
    2c - trace a quadratic spline using these points