2017/11/28 by T. J. Peters, Thomas Peters, Peters, T. J. +3
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Computational Geometry and Mesh Generation #Computer Graphics and Visualization Techniques #FOS: Mathematics #General Topology (math.GN) #math.GN
paper · pdf · doi:10.48550/arxiv.1711.10276
16 pages, 3 figures, data tables in appendix
arxiv created 2017/11/28 · openalex publication_date 2017/11/28 · arxiv updated 2017/11/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Previously, numerical evidence was presented of a self-intersecting Bezier curve having the unknot for its control polygon. This numerical demonstration resolved open questions in scientific visualization, but did not provide a formal proof of self-intersection. An example with a formal existence proof is given, even while the exact self-intersection point remains undetermined.