would you please discuss the following statement : "If control polygon of a B-spline curve is convex then B-spline curve is also convex".
2026-03-27 05:39:20.1774589960
Relation between B-spline curve and its control polygon if either of them would be convex
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I think this comes from the "variation diminishing property" of B-spline curves, which means any line will not intersect the curve more times than it intersects the control polygon. Here is a link for more details.