A New Flatness Evaluation-Rotation Method Based on GA
Flatness is one fundamental element of geometric forms, and the flatness evaluation is particularly important for ensuring the quality of industrial products. This paper presents a new flatness evaluation in the view of the minimum zone evaluation - rotation method based on genetic algorithm. This method determines the minimum zone through rotating measurement points in three dimensions coordinate. The points are firstly rotated about coordinate axes. Then they are projected in one axis, and the smallest projection length is the flatness value. The rotation angles are optimized by genetic algorithm to improve search efficiency. An exponential fitness function and the rotation angles range is designed on the basis of flatness characteristics. An adaptive mode of crossover and mutation probability is used to avoid local optimum. The results show this method can search the minimum zone and converge rapidly.
Liangchi Zhang, Chunliang Zhang and Tielin Shi
Y. M. Jiang and G. X. Liu, "A New Flatness Evaluation-Rotation Method Based on GA", Advanced Materials Research, Vols. 139-141, pp. 2033-2037, 2010