A control device, a machine (tool) having the control device, a method for providing a travel profile and a computer program for providing the travel profile, wherein a reference line is generated, e.g., from a CAD drawing, to provide a travel profile for a tool, where approximation curves are created from the reference line using wavelet base functions, transformation curves are formed from the approximation curves via difference generation, and these are each adapted to a desired accuracy of the processing mode via modification, where modification curves are created via the modification of the transformation curves, where the travel profile is the sum of the modification curves, and where drive elements of the machine tool are controlled based on the travel profile such that the travel profile can be optimized via the selection of wavelet base functions, based on a processing mode, e.g. rough milling, fine milling, laser cutting.

A method and a device for curve velocity planning based on NURBS (non-uniform rational B-splines) curve interpolation as well as a numerical control machining route data processing method using NURBS curve interpolation velocity planning are provided. The method includes: obtaining numerical control machining route data with a NURBS curve; obtaining an acceleration within a parameter step length on the NURBS curve; comparing each the acceleration with a maximum allowable acceleration to determine an acceleration sensitive point and an acceleration sensitive interval; determining an intermediate point of the acceleration sensitive interval as a demarcation point of the acceleration and the deceleration; calculating a velocity value of the intermediate point as a target velocity; and planning the acceleration and deceleration of the acceleration sensitive interval based on the target velocity to obtain the numerical control machining route data with the planned NURBS curve.

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 control device, a machine (tool) having the control device, a method for providing a travel profile and a computer program for providing the travel profile, wherein a reference line is generated, e.g., from a CAD drawing, to provide a travel profile for a tool, where approximation curves are created from the reference line using wavelet base functions, transformation curves are formed from the approximation curves via difference generation, and these are each adapted to a desired accuracy of the processing mode via modification, where modification curves are created via the modification of the transformation curves, where the travel profile is the sum of the modification curves, and where drive elements of the machine tool are controlled based on the travel profile such that the travel profile can be optimized via the selection of wavelet base functions, based on a processing mode, e.g. rough milling, fine milling, laser cutting.

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.

The present disclosure discloses a method and device for planning curve velocity based on NURBS curve interpolation as well as a numerical control machining route data processing method using NURBS curve interpolation velocity planning. The method includes: obtaining numerical control machining route data with a NURBS curve; obtaining an acceleration a.sub.i within a parameter step length u.sub.i on the NURBS curve; comparing each the acceleration with a maximum allowable acceleration to determine an acceleration sensitive point and an acceleration sensitive interval; determining an intermediate point of the acceleration sensitive interval as a demarcation point of the acceleration and the deceleration; calculating a velocity value of the intermediate point as a target velocity; and planning the acceleration and deceleration of the acceleration sensitive interval basing on the target velocity to obtain the numerical control machining route data with the planned NURBS curve.