A method for machining at least one workpiece surface to apply a texture pattern to at least one section of the workpiece surface using a laser, based on image data specifying an image of the texture pattern applied to the at least one section of the workpiece surface and model data specifying a three-dimensional geometry of a surface form corresponding to the at least one section of the workpiece surface. Control data and segment data are generated based on the image and model data. The control data specify one or more segment sequences for each track line. Each segment sequence has track segments where the laser guides the texture pattern application to the at least one section of the workpiece surface; wherein the track segments of a segment sequence include one or more laser track segments where the laser travels in the switched-on state at a constant machining setpoint speed.

A method for machining at least one workpiece surface to apply a texture pattern to at least one section of the workpiece surface using a laser, based on image data specifying an image of the texture pattern applied to the at least one section of the workpiece surface and model data specifying a three-dimensional geometry of a surface form corresponding to the at least one section of the workpiece surface. Control data and segment data are generated based on the image and model data. The control data specify one or more segment sequences for each track line. Each segment sequence has track segments where the laser guides the texture pattern application to the at least one section of the workpiece surface; wherein the track segments of a segment sequence include one or more laser track segments where the laser travels in the switched-on state at a constant machining setpoint speed.