According to minimum zone condition, a method for evaluating the profile error of Archimedes helicoid surface based
on Genetic Algorithm (GA) is proposed. The mathematic model of the surface is provided and the unknown parameters
in the equation of surface are acquired through least square method. Principle of GA is explained. Then, the profile error
of Archimedes Helicoid surface is obtained through GA optimization method. To validate the proposed method, the
profile error of an Archimedes helicoid surface, Archimedes Cylindrical worm (ZA worm) surface, is evaluated. The
results show that the proposed method is capable of correctly evaluating the profile error of Archimedes helicoid surface
and satisfy the evaluation standard of the Minimum Zone Method. It can be applied to deal with the measured data of
profile error of complex surface obtained by three coordinate measurement machines (CMM).
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