标题： 圆弧和弧样条的辛化 显示英文标题

标题： Symplectification of Circular Arcs and Arc Splines

摘要： 在本文中，圆弧被单独考虑，也被作为分段圆曲线的元素。 端点参数化在此处被证明非常有利。 辛几何的观点为圆弧提供了新的矢量关系。 考虑了相邻圆弧元素各自具有公共端点的曲线，或者此外还具有公共切线的曲线。 这些圆弧样条被证明是一个单参数曲线族，该参数可以针对各种标准进行优化。 显示英文摘要

摘要： 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.