Methods and devices for computer-assisted milling of a pocket region of a workpiece by computing a blend arc radius, where the blend arc radius is based on a maximal variation of a Tool Engagement Angle (TEA), and smoothing at least one offset, where the smoothing is based on the computed blend arc radius and/or a prior computed blend arc radius with a stepover.

Methods and devices are provided for detecting connecting elements, in particular friction drilling screws, in mechanical joining and forming processes in which an error event in the process was identified. The method includes moving a carrier component for the connecting element toward a workpiece to determine a contact point of the connecting element on the workpiece. This feeding step is carried out as a next method step after the error event is detected and ascertains whether the contact point is detected within a predefined permissible tolerance in order to determine whether the connecting element is still located in a feed head.

Methods and devices for computer-assisted milling of a pocket region of a workpiece by computing a blend arc radius, where the blend arc radius is based on a maximal variation of a Tool Engagement Angle (TEA), and smoothing at least one offset, where the smoothing is based on the computed blend arc radius and/or a prior computed blend arc radius with a stepover.

Methods and devices for computer-assisted milling of a pocket region of a workpiece by computing a blend arc radius, where the blend arc radius is based on a maximal variation of a Tool Engagement Angle (TEA), and smoothing at least one offset, where the smoothing is based on the computed blend arc radius and/or a prior computed blend arc radius with a stepover.

A method for generating tool paths across a surface of a computer aided design (CAD) model having a complex shape. The method includes defining at least one reference point on the surface of the CAD model, generating a plurality of substantially equi-spaced reference points across the surface of the CAD model; connecting each of the reference points together with straight lines such that a first tool path is formed by a culmination of the straight lines; generating a second tool path across the surface of the CAD model; and, generating a plurality of intermediate tool paths that extend linearly between the first tool path and second tool path across the surface of a CAD model.

Methods and devices for computer-assisted milling of a pocket region of a workpiece by computing a blend arc radius, where the blend arc radius is based on a maximal variation of a Tool Engagement Angle (TEA), and smoothing at least one offset, where the smoothing is based on the computed blend arc radius and/or a prior computed blend arc radius with a stepover.