A greedy algorithm for feedrate planning of CNC machines along curved tool paths with confined jerk

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Efficient algorithm for time-optimal feedrate planning and smoothing with confined chord error and acceleration (2013, methodology): “Zhang et al [7] extended the above methods to the case of jerk bounds and gave ∗Partially supported by a National Key Basic Research Project of China (2011CB302400) and by a grant from NSFC (60821002).”
Feedrate optimization for smooth minimum-time trajectory generation with higher order constraints (2016, methodology): “In the phase-plane-based approach [24], the analysis must now be performed in a three dimensional position-velocity-acceleration phase space instead of the position-velocity phase plane.”
Feedrate scheduling for interpolation of parametric tool path using the sine series representation of jerk profile (2017, methodology): “Zhang et al.8,9 proposed an analytic way towards this problem by searching the intersections of the so-called velocity limiting curves/surfaces deduced from the acceleration, jerk and chord error constraints.”