An Interpolation Concept for Linear Blending Based on Cornu Spiral

Feedrate reduction on path transitions with different tangents can be avoided by fitting blending curves. In this paper, a concept for applying Cornu spirals as blending curve for linear path transition is introduced. As opposed to interpolation methods in current CNC systems, the curvature profile of Cornu spiral is linear. In machining context, this can ensure a jerk limited machining while maintaining high feedrate. In an experimental setting, Cornu spiral is compared with polynomial spline to outline the benefit of applying Cornu spiral as blending curve.