As a new generation of optical surfaces, free-form surfaces have a non-rotating symmetric structure and complex characterization ability. With the rapid development of optical manufacturing technology and detection technology, it is gradually applied in optical design. But the free surface structure is complex, different optical faces have different surface type features, no good generality. Combining the characteristics of free-form surfaces, proposed the conversion algorithm between different faces and deduced the common surface conversion, presented the use scene and the optical system optimization method, and verified the optical system design examples, proposing new ideas for optical system design. The design results show that the design optimization using the surface conversion algorithm helps to improve the image mass and skip the local minima.
Surface reconstruction technology needs to fit the collected point cloud data into an expression with a complete base function. How to improve the fitting accuracy of surface reconstruction is the focus of this research. In this paper, aiming at the surface fitting model based on Gaussian radial basis function(RBF), the influence of shape factor selection on surface fitting accuracy is studied, and a new method for calculating RBF shape factor is proposed. The shape factor is connected with the size of the surface to be fitted, which strengthens the relationship among the kernels. Taking the given point cloud data as an example, the simulation experiments were carried out, and the fitting accuracy of different shape factors was compared, and the curved surfaces of different shapes were fitted. The results show that the accuracy of surface fitting can be improved by choosing shape factor combined with the size of fitting area; surface fitting based on RBF is suitable for the surface with small curvature and gentle surface; RBF can be used for the description of non-rotational symmetric surface, but the fitting accuracy will decrease.
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