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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

9 votes

What is the minimum-curvature curve interpolating a given set of points in the plane?

(This answer was posted before the convexity condition on the curve $\gamma$ was added to the question) Suppose you have any finite set of points in $\mathbb{R}^2$, and rotate $\mathbb{R}^2$ so that t …
Saúl RM's user avatar
  • 10.6k
4 votes
Accepted

What is the minimum-curvature curve interpolating a given set of points in the plane?

As Matt F. says, his answer is not optimal, but the optimal solution, for most polygons (see (!!) below) comes from a similar construction using just arcs of circumference and segments. This answer gi …
Saúl RM's user avatar
  • 10.6k