This paper presents a geometric construction for fitting planar motions to three control poses within a particular geometric algebra. The immediate impact of the geometric construction along with the control pose representation is the provision of simple, usable tools for the design and manipulation of motions in a similar way to the highly successful B-spline approach for curves and surfaces in CAD.

中文翻译：

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拟合平面二次运动

本文提出了一种几何构造，用于将平面运动拟合到特定几何代数中的三个控制姿势。几何构造和控制姿势表示的直接影响是，提供了简单，可用的工具来设计和操纵运动，其方式类似于CAD中非常成功的B样条曲线和曲面方法。