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 processing method of producing a processed object by processing a material, the processed object including an opening to outside and a hollow space of a predetermined shape and in communication with the opening, includes forming the hollow space in the material by performing ablation by projecting a laser from a region to be processed on a surface of the material corresponding to the opening along a region to be processed corresponding to the hollow space.

Improvements in a high speed smooth tool path is presented where the high speed smooth tool path to be used for primarily finishing for finishing any type of walls (negative/positive drafted) for any given bounded region be it 3, 4, 5, . . . n sided shape. The tool path incorporates a combined strategy for finishing the walls while removing any excess material leftover from a previous larger diameter cutter. This tool-motion can be utilized for roughing the regions by approximating the walls by offsetting the regions inwards. The finished boundaries are offset inwards and then cut using these methods. This is optimized as opposed to moving the cutter at a consistent speed in the cutting path. This is performed to eliminate the wasted tool-motion to the maximum extent. This technique is implemented for roughing any closed or open bounded areas regardless of the walls being straight, drafted (negative/positive or both).

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 polishing machine is described in which a surface treatment tool is moved across the surface of a workpiece in accordance with a predefined tool-path, in order to carry out the desired treatment process. The tool-path is non-periodic and preferably pseudo-random. Various techniques are described for generating data representing the tool-path to be followed. A technique is also described for determining optimum control parameters used to control the polishing machine for a given tool-path. The surface treatment may be a shaping technique in which material is removed from the surface, or a technique for adding material to the surface of the workpiece, or a technique for modifying the surface or a region under the surface of the workpiece.

A polishing machine is described in which a surface treatment tool is moved across the surface of a workpiece in accordance with a predefined tool-path, in order to carry out the desired treatment process. The tool-path is non-periodic and preferably pseudo-random. Various techniques are described for generating data representing the tool-path to be followed. A technique is also described for determining optimum control parameters used to control the polishing machine for a given tool-path. The surface treatment may be a shaping technique in which material is removed from the surface, or a technique for adding material to the surface of the workpiece, or a technique for modifying the surface or a region under the surface of the workpiece.

Improvements in a high speed smooth tool path is presented where the high speed smooth tool path to be used for primarily finishing for finishing any type of walls (negative/positive drafted) for any given bounded region be it 3, 4, 5, . . . n sided shape. The tool path incorporates a combined strategy for finishing the walls while removing any excess material leftover from a previous larger diameter cutter. This tool-motion can be utilized for roughing the regions by approximating the walls by offsetting the regions inwards. The finished boundaries are offset inwards and then cut using these methods. This is optimized as opposed to moving the cutter at a consistent speed in the cutting path. This is performed to eliminate the wasted tool-motion to the maximum extent. This technique is implemented for roughing any closed or open bounded areas regardless of the walls being straight, drafted (negative/positive or both).

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 polishing machine is described in which a surface treatment tool is moved across the surface of a workpiece in accordance with a predefined tool-path, in order to carry out the desired treatment process. The tool-path is non-periodic and preferably pseudo-random. Various techniques are described for generating data representing the tool-path to be followed. A technique is also described for determining optimum control parameters used to control the polishing machine for a given tool-path. The surface treatment may be a shaping technique in which material is removed from the surface, or a technique for adding material to the surface of the workpiece, or a technique for modifying the surface or a region under the surface of the workpiece.

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.