Abstract: A method is for detecting a possible collision of at least two objects moving with respect to each other by simulating the intended relative motion of the two objects. At least one of the objects is assigned an envelope surrounding the object, the path line represents the relative motion of the objects is covered in steps of a defined step size, and the occurrence of an overlap of the objects is detected for ascertaining a possible collision of the objects. For at least one object, the outer contour of the corresponding envelope is used as a datum for detecting an overlap. At least one object is assigned an inner and an outer envelope, of which the inner envelope surrounds the object and the outer envelope surrounds the inner envelope. The outer envelope is used as a datum for detecting an overlap of the two objects, and when an overlap is detected in a segment of the path line, the segment of the path line is re-traversed using a smaller, second step size.

Abstract: A method is for detecting a possible collision of at least two objects moving with respect to each other by simulating the intended relative motion of the two objects. At least one of the objects is assigned an envelope surrounding the object, the path line represents the relative motion of the objects is covered in steps of a defined step size, and the occurrence of an overlap of the objects is detected for ascertaining a possible collision of the objects. For at least one object, the outer contour of the corresponding envelope is used as a datum for detecting an overlap. At least one object is assigned an inner and an outer envelope, of which the inner envelope surrounds the object and the outer envelope surrounds the inner envelope. The outer envelope is used as a datum for detecting an overlap of the two objects, and when an overlap is detected in a segment of the path line, the segment of the path line is re-traversed using a smaller, second step size.

Abstract: In a method for continuous-path control in at least two linear axes and at least one angle axis, the movement of a tool relative to a workpiece is predefined by a parts program for a numerical control. The velocity control in the numerical control is performed separately for the linear axes and the angle axes. Deviations in the movement between the tool and the workpiece resulting due to the separate velocity control may be corrected by compensation movements of the linear axes. The separate velocity control for the linear axes and the angle axes may be achieved by rounding the velocity profiles in the angle axes more significantly than the velocity profiles in the linear axes. A measure for the rounding for velocity profiles may be predefined separately for the angle axes and the linear axes.

Abstract: In a method for continuous-path control in at least two linear axes and at least one angle axis, the movement of a tool relative to a workpiece is predefined by a parts program for a numerical control. The velocity control in the numerical control is performed separately for the linear axes and the angle axes. Deviations in the movement between the tool and the workpiece resulting due to the separate velocity control may be corrected by compensation movements of the linear axes. The separate velocity control for the linear axes and the angle axes may be achieved by rounding the velocity profiles in the angle axes more significantly than the velocity profiles in the linear axes. A measure for the rounding for velocity profiles may be predefined separately for the angle axes and the linear axes.