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Notice of Retraction
After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE's Publication Principles.
We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.
The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.
This paper applied the contact principle of deferential geometry in to the 5-axis NC machining, researched the best contact condition of tool and the surfaces, analysis the contact degree of the intersection line of the cutter and the surfaces. Compared with other references, the theory of this paper is more restrict, going deep into the parameter of third order instead of the second order, suitable to the primary analytical geometry and the simulation surface of the numerical geometry, with definite procedure of calculation, and easy to solve the function. Although most of the 5-axis NC milling machine tool producers declared that their machine poses the function of 5-axis simultaneous machining, and most of the commercialized CAD/CAM soft wear was reported can support the 5-axis simultaneous machining, but there are very few analysis about their machining efficiency.. This method increased the machining efficiency by a factor of 30.