Consider a close path given by a set of Bezier points as
0,0 1,1 1,1 0,1
0,1 -1,-1 -1,-1 0,0
How can we check if a given point is within the closed path or outside it?
2026-03-25 14:21:15.1774448475
Finding a point in a Bezier closed path
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The standard computational approach to testing inclusion in a closed curve is to draw a line to infinity and count intersections with the curve. To test for intersections with a Bézier curve you can subdivide it (de Casteljau) and exploit the convex hull property.