Abstract: In a method for smoothing polylines in NC programs, the coordinates of points which, connected by linear segments, represent an original polyline, are shifted in a geometrical filter unit such that a resulting polyline, made up of coordinates of points, is smoothed as compared to the original polyline.

Abstract: A method for the orientation of a spindle of a numerically controlled and rapidly rotating spindle by which the spindle is brought from an initial rotational speed into a predetermined position of rest. The method includes performing a first phase of orientation of the spindle by braking the spindle to a threshold rotational speed, wherein during the braking a switching over to a position controller is prepared, the switching over is performed at a switching time during a transition from the first phase of orientation to a second phase of orientation, the switching over is continuous in regard to position and/or rotational speed, and wherein a rotational speed of the spindle drops strictly monotonically.

Abstract: A method for continuous-path control includes predefining at least two global tolerances to a numerical control and predefining, to the numerical control, a tool path including support points, a non-continuously differentiable corner of the tool path being situated at each support point. The method also includes assigning, by a tolerance-assignment unit, one of the at least two global tolerances determined to the corner at each support point. A global edge tolerance may be predefined when the tolerance-assignment unit recognizes that the corner at the support point leads to an edge in a workpiece. A global curve tolerance may be predefined when the tolerance-assignment unit recognizes that the corner at the support point approximates a curvilinear, continuously differentiable curve. A global edge tolerance may be predefined to be smaller than a global curve tolerance.

Abstract: In a method for smoothing polylines in NC programs, the coordinates of points which, connected by linear segments, represent an original polyline, are shifted in a geometrical filter unit such that a resulting polyline, made up of coordinates of points, is smoothed as compared to the original polyline.

Abstract: A method for continuous-path control includes predefining at least two global tolerances to a numerical control and predefining, to the numerical control, a tool path including support points, a non-continuously differentiable corner of the tool path being situated at each support point. The method also includes assigning, by a tolerance-assignment unit, one of the at least two global tolerances determined to the corner at each support point. A global edge tolerance may be predefined when the tolerance-assignment unit recognizes that the corner at the support point leads to an edge in a workpiece. A global curve tolerance may be predefined when the tolerance-assignment unit recognizes that the corner at the support point approximates a curvilinear, continuously differentiable curve. A global edge tolerance may be predefined to be smaller than a global curve tolerance.

Abstract: A method for the orientation of a spindle of a numerically controlled and rapidly rotating spindle by which the spindle is brought from an initial rotational speed into a predetermined position of rest. The method includes performing a first phase of orientation of the spindle by braking the spindle to a threshold rotational speed, wherein during the braking a switching over to a position controller is prepared, the switching over is performed at a switching time during a transition from the first phase of orientation to a second phase of orientation, the switching over is continuous in regard to position and/or rotational speed, and wherein a rotational speed of the spindle drops strictly monotonically.

Abstract: A method for generating nominal position values for a position control loop of a numerically continuous-path controlled machine. The method includes presetting nominal position values with a defined interpolator clock rate, digitally filtering the preset nominal position values and transmitting the digitally filtered nominal position values to a position control loop, which with them controls motion of a machine on a path curve at a defined position control clock rate. Adjusting the digitally filtering nominal position values as a function of dynamic characteristics of the machine and adjusting an interpolator clock rate as a function of the dynamic characteristics of the machine.

Abstract: An arrangement for generating command variables for control loops of a numerically controlled machine that includes an interpolator unit for providing position set points with a defined interpolator scanning rate and a precision interpolator unit. The precision interpolator unit includes a scanning rate converter and a downstream-connected low-pass filter, wherein the precision interpolator unit is arranged downstream of the interpolator unit, which generates command variables at an output side from position set points at an input side for one or several downstream-connected control loops, wherein the precision interpolator unit generates command variables in a time pattern of the control loops with a control loop scanning rate.

Abstract: An arrangement for generating command variables for control loops of a numerically controlled machine that includes an interpolator unit for providing position set points with a defined interpolator scanning rate and a precision interpolator unit. The precision interpolator unit includes a scanning rate converter and a downstream-connected low-pass filter, wherein the precision interpolator unit is arranged downstream of the interpolator unit, which generates command variables at an output side from position set points at an input side for one or several downstream-connected control loops, wherein the precision interpolator unit generates command variables in a time pattern of the control loops with a control loop scanning rate.