conference paper published yes Günter Rote author Moritz Rüber author Morteza Saghafian author f86f7148-b140-11ec-9577-95435b8df824 HeEd department SoCG: Symposium on Computational Geometry 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. https://research-explorer.ista.ac.at/download/17145/17151/2024_LIPICS_Rote.pdf application/pdfno https://creativecommons.org/licenses/by/4.0/ Schloss Dagstuhl - Leibniz-Zentrum für Informatik2024Athens, Greece eng 1868-8969 9783959773164 2402.1578710.4230/LIPIcs.SoCG.2024.76 293 Rote, Günter, et al. “Grid Peeling of Parabolas.” <i>40th International Symposium on Computational Geometry</i>, vol. 293, 76, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024, doi:<a href="https://doi.org/10.4230/LIPIcs.SoCG.2024.76">10.4230/LIPIcs.SoCG.2024.76</a>. Rote, Günter, Moritz Rüber, and Morteza Saghafian. “Grid Peeling of Parabolas.” In <i>40th International Symposium on Computational Geometry</i>, Vol. 293. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024. <a href="https://doi.org/10.4230/LIPIcs.SoCG.2024.76">https://doi.org/10.4230/LIPIcs.SoCG.2024.76</a>. Rote G, Rüber M, Saghafian M. 2024. Grid peeling of parabolas. 40th International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 293, 76. G. Rote, M. Rüber, and M. Saghafian, “Grid peeling of parabolas,” in <i>40th International Symposium on Computational Geometry</i>, Athens, Greece, 2024, vol. 293. Rote G, Rüber M, Saghafian M. Grid peeling of parabolas. In: <i>40th International Symposium on Computational Geometry</i>. Vol 293. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2024. doi:<a href="https://doi.org/10.4230/LIPIcs.SoCG.2024.76">10.4230/LIPIcs.SoCG.2024.76</a> Rote, G., Rüber, M., &#38; Saghafian, M. (2024). Grid peeling of parabolas. In <i>40th International Symposium on Computational Geometry</i> (Vol. 293). Athens, Greece: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.SoCG.2024.76">https://doi.org/10.4230/LIPIcs.SoCG.2024.76</a> G. Rote, M. Rüber, M. Saghafian, in:, 40th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024. 171452024-06-16T22:01:06Z2024-06-17T08:41:56Z