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When fitting point cloud data, use polynomial curve fitting method is hard to obtain a better fitting effect. While by using segment curve fitting method, there are defects of unsatisfaction with the continuity and differentiability of a function at the place of segments. Therefore, based on the foundation of traditional least square method curve fitting, this paper propose to use Lagrange multiplier to implement point cloud data fairing processing. Through the inspection of practical data, the precision of this algorithm is higher, which meet the requirements of point cloud data's fairing and provide an effective mathematical algorithm for the fairing processing of point cloud data in reverse engineering.

Study on Data Processing Algorithm of Complex Curve Based on Point Cloud Data