| 摘要 |
<p>In a method for producing at least one surface on a workpiece by a material removal tool and a corresponding material removal device, the surface is produced quickly and at low cost. Based on any surface to be produced, a movement path of the material removal tool is controlled to produce a ruled surface approximating to the surface, the movement path being provided in the form of a curve on a dual unit sphere, wherein a curve point corresponds to a location and an orientation of the removal tool. The curve can be produced based on ruling lines, which are converted into points, interpolated by a dual sphere spline interpolation algorithm, on the dual unit sphere by mathematical transformations. The curve can then be transformed back or can be used directly to follow the material removal tool. Likewise, directrix curves can be determined by the dual sphere spline interpolation algorithm.</p> |
