## 5 Conclusions  
This study evaluates the effects of CNC interpolator settings (namely, the limit frequency of the AHSC filter, contour tolerance, axial jerk limits, and corner jerk limits) on toolpath quality and precision in corner neighborhoods for the Heidenhain iTNC530 interpolator. The main conclusions of the study can be summarized as follows:  
* The combined settings of contour tolerance and limit frequency have a significant influence on the shape and character of the dependence of both toolpath quality and precision on the corner and axial jerk settings. * For fixed settings of the contour tolerance limit and limit frequency, the quality of the interpolator toolpath at corner neighborhoods (expressed as the total variation in contour deviation with respect to toolpath arclength) depends quadratically on the corner jerk limit, with higher corner jerk limit values leading to decreased toolpath quality. This type of dependence holds up to a certain threshold value of the corner jerk limit. Increasing the corner limit setting beyond this threshold value has no additional effect on toolpath quality. The threshold value itself depends on the settings of limit frequency and contour tolerance with increasing values of these settings leading to increased values of the corner jerk limit. * The effects of axial jerk limits on the interpolator toolpath quality in corner neighborhoods are negligible when higher values (>15 Hz) of limit frequency or higher values of contour tolerance (>0.02 mm) are chosen. Otherwise (i.e., when both low contour tolerance and low limit frequency are simultaneously applied), the toolpath quality depend jointly on both corner jerk limits and axial jerk limits, the dependence being quadratic with respect to both. * For fixed settings of the contour tolerance limit and limit frequency, the maximal contour deviation of the interpolator toolpath in corner neighborhoods depends on the corner jerk limit. For individual angle sizes, this dependence has a piecewise linear character, with increasing values of the corner jerk limit leading to larger maximal contour deviations. * The contour tolerance limit can be exceeded in corner neighborhoods by as much as 85% if the corner jerk limit is set to a value that is too large. * For a fixed setting of the contour tolerance and limit frequency, there exists a range of the corner jerk setting for which the contour tolerance limit is satisfied for all obtuse angles. The size of this range depends on the contour tolerance and limit frequency settings with increasing values of both the contour tolerance as well as limit frequency leading to wider ranges of admissible corner jerk limits. Several lines of future research are possible that would extend the results presented in this paper. First, an analogous analysis could be performed on toolpath quality and precision at transitions between circular and line segments. Second, different types of filter methods could be chosen (such as standard, double, and HSC filter). It would also be interesting to apply surface removal simulation techniques (such as the one mentioned in [35]) in order to evaluate the dependence of surface quality on various CNC parameters. This would require advanced computational methods to evaluate contour error profiles at a level of precision comparable to that of standard methods of error measurement applied to the surface quality evaluation of physical workpieces. Lastly, the application of machine learning and deep learning methods to create models capable of predicting surface quality and precision based on a large set of CNC parameters (such as in [30]) holds significant potential. However, this approach does present multiple challenges, such as the selection of representative testing trajectories, the automation of gathering and subsequent evaluation of interpolator data, and the selection of the appropriate machine learning model. The previously mentioned methods of material removal simulation using digital twins could prove useful in this regard.