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A modified point cloud reconstruction method for complex surfaces

In the field of CAD/CAGD and computer graphics, reconstruction of complex surfaces based on point cloud data is a frequently encountered problem. In this paper, a modified point cloud reconstruction method for complex surfaces is proposed. Firstly, the accurate estimation method of the arc length between data points is established, and the correction factor is introduced based on the centripetal parameterization method. Then, the average of the normal distance between the arc length of the osculating circle and the corresponding chord length is used as the correction tolerance to modify the arc length estimation result of centripetal parameterization. Ultimately, the parametric result of fixed control vertices is optimized considering the conformality and reconstruction error. Compared with the existing methods, the proposed method can effectively improve the reconstruction accuracy of point cloud data for complex surfaces.