Lasemi A, Xue D, Gu P (2010) Recent development in CNC machining of freeform surfaces: a state-of-the-art review. The test results have shown that the tool paths generated by the proposed method achieved a better matching for the selected feed directions and a shorter overall length compared with some existing tool path generation methods. In our case study, feed directions with the maximum strip width are chosen. Then the feasible path with the best offset similarity for the streamlines will be selected as the initial tool path. The offset similarity metric defined by the initial path and streamlines is constructed to measure the matching degree between offset paths and preferred feed directions. By fitting the vector field, streamlines are generated for representing the preferred feed direction on the parametric domain. A surface is re-parameterized to keep the conformality between the surface and parametric domain, which leads to the more regular offset paths on the new parametric domain. This paper presents a novel initial path selection method for the iso-scallop method to make whole iso-scallop tool paths and the preferred direction field consistent as much as possible. The matching degree of the offset paths and preferred direction field should be taken into consideration when selecting an initial tool path. Usually, the offset paths generated by the iso-scallop method largely deviate from the preferred directions, even though the initial path is strictly along the preferred directions. The preferred direction field supplies the local best feed directions. The efficiency and machining performance of this method are largely dominated by the initial tool path. The iso-scallop method has been long adopted to achieve a shorter overall machining length.
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