c# - Draw Circle Inside a Polygon -


i need algorithm that, given array of points representing polygon (which rectangle-ish shape, nonregular polygon), , given point click location within polygon, fit circle touching 3 sides of polygon closest clicked location, maximizing overall coverage of circle without leaving boundary

it's easy touching 2 sides (find centroid, find shortest distance edge, etc) - touching 3 sides challenge. see attached hand drawing.

enter image description here

i need answer soon..thanks!

problem related medial axis. points centers of circles touching 3 or more sides branching points of medial axis. enough make medial axis, find branching points , given click position find closest one.


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