High precision geometric measurement of free-form surfaces has become the key to high-performance manufacturing in the manufacturing industry. By designing a reasonable sampling plan, the economic measurement of free-form surfaces can be realized. This paper proposes an adaptive hybrid sampling method for free-form surfaces based on geodesic distance. The free-form surfaces are divided into segments, and the sum of the geodesic distance of each surface segment is taken as the global fluctuation index of free-form surfaces. The number and location of the sampling points for each free-form surface segment are reasonably distributed. Compared with the common methods, this method can significantly reduce the reconstruction error under the same sampling points. This method overcomes the shortcomings of the current commonly used method of taking curvature as the local fluctuation index of free-form surfaces, and provides a new perspective for the adaptive sampling of free-form surfaces.

中文翻译：

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一种基于测地距离的自由曲面自适应混合采样方法

自由曲面的高精度几何测量已成为制造业高性能制造的关键。通过设计合理的取样方案，可以实现自由曲面的经济测量。提出一种基于测地距离的自由曲面自适应混合采样方法。将自由曲面进行分段，将各曲面分段的测地距离之和作为自由曲面的全局波动指数。每个自由曲面段的采样点数量和位置分布合理。与常用方法相比，该方法可以显着降低相同采样点下的重建误差。