Abstract: Technology for turning selected portions of a workpiece by a cutting tool is described. The described technology can provide methods and apparatuses for turning areas of a part so that corner strikes are avoided upon material entry, burr formation upon material exit is eliminated or significantly reduced, and/or the instantaneous cut depth continuously changes to avoid notch formation. The resulting superior machining conditions can enable more aggressive machining parameters to be used in the tool path, thereby resulting in reduced machining time and load.