conference paper published yes Georg F Osang author 464B40D6-F248-11E8-B48F-1D18A9856A870000-0002-8882-5116 Mael Rouxel-Labbé author Monique Teillaud author HeEd department ESA: European Symposium on Algorithms Alpha Shape Theory Extended project Even though Delaunay originally introduced his famous triangulations in the case of infinite point sets with translational periodicity, a software that computes such triangulations in the general case is not yet available, to the best of our knowledge. Combining and generalizing previous work, we present a practical algorithm for computing such triangulations. The algorithm has been implemented and experiments show that its performance is as good as the one of the CGAL package, which is restricted to cubic periodicity. https://research-explorer.ista.ac.at/download/8703/8712/2020_LIPIcs_Osang.pdf application/pdfno Schloss Dagstuhl - Leibniz-Zentrum für Informatik2020Virtual, Online; Pisa, Italy eng 1868-8969 978395977162710.4230/LIPIcs.ESA.2020.75 173 https://research-explorer.ista.ac.at/record/9056 Osang, G. F., Rouxel-Labbé, M., &#38; Teillaud, M. (2020). Generalizing CGAL periodic Delaunay triangulations. In <i>28th Annual European Symposium on Algorithms</i> (Vol. 173). Virtual, Online; Pisa, Italy: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.ESA.2020.75">https://doi.org/10.4230/LIPIcs.ESA.2020.75</a> G.F. Osang, M. Rouxel-Labbé, M. Teillaud, in:, 28th Annual European Symposium on Algorithms, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. Osang, Georg F, Mael Rouxel-Labbé, and Monique Teillaud. “Generalizing CGAL Periodic Delaunay Triangulations.” In <i>28th Annual European Symposium on Algorithms</i>, Vol. 173. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. <a href="https://doi.org/10.4230/LIPIcs.ESA.2020.75">https://doi.org/10.4230/LIPIcs.ESA.2020.75</a>. G. F. Osang, M. Rouxel-Labbé, and M. Teillaud, “Generalizing CGAL periodic Delaunay triangulations,” in <i>28th Annual European Symposium on Algorithms</i>, Virtual, Online; Pisa, Italy, 2020, vol. 173. Osang, Georg F., et al. “Generalizing CGAL Periodic Delaunay Triangulations.” <i>28th Annual European Symposium on Algorithms</i>, vol. 173, 75, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020, doi:<a href="https://doi.org/10.4230/LIPIcs.ESA.2020.75">10.4230/LIPIcs.ESA.2020.75</a>. Osang GF, Rouxel-Labbé M, Teillaud M. Generalizing CGAL periodic Delaunay triangulations. In: <i>28th Annual European Symposium on Algorithms</i>. Vol 173. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:<a href="https://doi.org/10.4230/LIPIcs.ESA.2020.75">10.4230/LIPIcs.ESA.2020.75</a> Osang GF, Rouxel-Labbé M, Teillaud M. 2020. Generalizing CGAL periodic Delaunay triangulations. 28th Annual European Symposium on Algorithms. ESA: European Symposium on Algorithms, LIPIcs, vol. 173, 75. 87032020-10-25T23:01:18Z2026-04-08T07:01:29Z