The aim of this paper is to present a unified method to compute the trajectory directly on the surface to be machined avoiding CAM approximations and producing a smoother trajectory. Managing the geometry of the tool path, as well as the kinematical parameters of the machine tool, are two key factors for quality and productivity improvements. Then, during the tool path interpolation, marks on finished surfaces can appear induced by non smooth feedrate planning. In the common machining process, computer-aided manufacturing (CAM) software generates approximated tool paths because of the limitation induced by the input tool path format of the industrial CNC. Abstract : Free-form surfaces are used for many industrial applications from aeronautical parts, to molds or biomedical implants.
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