Grid Peeling of Parabolas
<|reference_start|>Grid Peeling of Parabolas: 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.<|reference_end|>
@article{rote2024grid,
    title={Grid Peeling of Parabolas},
    author={G"unter Rote, Moritz R"uber, Morteza Saghafian},
    journal={arXiv preprint arXiv:2402.15787},
    year={2024},
    archivePrefix={arXiv},
    eprint={2402.15787},
    primaryClass={cs.CG cs.NA math.NA}
}