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arXiv · 2402.15787

Grid Peeling of Parabolas

Günter Rote·Moritz Rüber·Morteza Saghafian
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Abstract

Grid peeling is the process of repeatedly removing the convex hull vertices of the grid-points that lie inside a given convex curve. It has been conjectured that, for a more and more refined grid, grid peeling converges to a continuous process, the affine curve-shortening flow, which deforms the curve based on the curvature. We prove this conjecture for one class of curves, parabolas with a vertical axis, and we determine the value of the constant factor in the formula that relates the two processes.

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Günter Rote, Moritz Rüber, Morteza Saghafian. 2024-02-24. Grid Peeling of Parabolas. https://arxiv.org/abs/2402.15787

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