The algorithm constructed a bounding box that surrounded all the points of the 3D model, and the bounding box was divided into several small cubes evenly, and the closest point from the center of the small cube replaced all other points. 21 proposed a simplification algorithm based on the bounding box. 20 simplified the connected triangular mesh through wavelet representation. ![]() Hamann 19 developed an algorithm to iteratively delete triangles according to the triangulation, and it had a good effect on the model surface. The mesh-based methods convert the point cloud to the mesh model with polygons, and then reduce the points based on specific rules for simplification. One is mesh-based and the other is scattered-point-based. ![]() The previous research on point cloud simplification methods can be generally classified into two kinds. High precision of the 3D scanning technology can provide abundant details of the point clouds, but it will simultaneously generate a mass of redundant data, which seriously reduces the efficiency of data processing, transmission and display, thereby affecting subsequent applications. With the improvement of 3D data acquisition capabilities 1, 2, 3, point cloud models are gaining increasing attention and being widely utilized in many fields, such as scene reconstruction 4, 5, 6, 7, 8, 9, museum display 10, 11, 12, 13, and virtual projection 14, 15, 16, 17, 18.
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