<p>The machining of freeform polynomial surfaces is a key challenge in high-speed milling due to the need to simultaneously ensure efficiency, accuracy, and surface quality. However, the influence of different spline interpolation methods on CAM tool path generation and machining performance remains insufficiently explored. This study aims to evaluate and optimize the machining of complex parametric surfaces represented by NURBS, Bspline, Cspline, and Aspline models. A CAD/CAM-based methodology is employed to model parametric curves and surfaces and to simulate roughing and finishing operations on a representative freeform geometry. Machining cycle time, tool path smoothness, and surface quality are used as evaluation criteria for different interpolation strategies. The results show that spline interpolation has a significant impact on machining efficiency and surface integrity, particularly in high-speed milling applications. Appropriate selection of interpolation methods leads to reduced cycle times and smoother tool trajectories. This work provides practical guidelines for integrating parametric surface representations into CAM workflows and supports improved decision-making for industrial machining of complex geometries.</p> Graphical Abstract <p></p>