2025/08/11 by Stefan Gössner, Gössner, Stefan · 1 voice · 1 citation
Computer Science · Engineering · Mathematics · #53D99 #Advanced Numerical Analysis Techniques #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics #Graphics (cs.GR) #Image and Object Detection Techniques #Symplectic Geometry (math.SG) #cs.CG #cs.GR #math.SG
paper · pdf · doi:10.48550/arxiv.2508.07726
openalex publication_date 2025/08/11 · arxiv published 2025/08/11 · arxiv updated 2025/08/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article, circular arcs are considered both individually and as elements of a piecewise circular curve. The endpoint parameterization proves to be quite advantageous here. The perspective of symplectic geometry provides new vectorial relationships for the circular arc. Curves are considered whose neighboring circular elements each have a common end point or, in addition, a common tangent. These arc splines prove to be a one-parameter curve family, whereby this parameter can be optimized with regard to various criteria.