Three-dimensional surface reconstruction based on known point cloud normal vector

The advancement of measurement equipment has enabled the extension of measurement applications from physical samples to the vast and scattered point cloud data. This expansion has fostered the growth of reverse engineering technology, which is widely used in the manufacturing industry. Reverse engineering involves data acquisition and surface reconstruction, where normal vector control is a more straightforward approach than B-spline control polygons for surface design and modification. This study proposed a complex surface reconstruction algorithm incorporating normal vector constraints for reconstructing scattered point clouds. Physical experiments were conducted to demonstrate the feasibility of the proposed method, and the results showed that it has significant potential for detecting complex surfaces.