Construction method of dynamic spatial space index for supporting STL data source
A technology of spatial indexing and construction method, applied in electrical digital data processing, special data processing applications, instruments, etc., can solve the problems of lack of patch adjacency information, grid vertex data redundancy, etc., to improve reconstruction efficiency and support fast The effect of query and removal efficiency improvement
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Embodiment 1
[0035] Embodiment 1: construct the KD tree of grid vertex in the process of elimination of vertex data copy, and the time complexity of building the tree is , the space complexity is , the time complexity of the nearest neighbor query is ,in is the number of mesh vertices. from Figure 18 It can be seen from the figure that compared with the time taken to perform nearest neighbor query on all grid vertices by eliminating the vertex data copy, the tree building time is two orders of magnitude smaller. It is about 0.2s, which is almost negligible. The algorithm in this paper uses a three-dimensional dynamic spatial index in the process of judging vertex data replicas, and uses the efficient query performance of the KD tree to perform nearest neighbor query operations on all vertices in the STL file. The total time for removing redundant vertices is the sum of the tree building time and query time . from Figure 19 It can be seen from the figure that this paper uses t...
Embodiment 2
[0036] Embodiment 2: In the surface topology reconstruction process, the time complexity is O (m), where m set for the half H The number of half-edge bars in . Through the grid index constructed in the process of data copy elimination, the outgoing half-edge information in the half-edge structure is added to the leaf nodes of the index structure, using the KD tree k -The nearest neighbor algorithm quickly queries the information of the dual half edge, improves the efficiency of adjacent patch matching, and realizes the rapid topology reconstruction of the mesh surface. from Figure 20 It can be seen from the figure that when the algorithm in this paper processes a model with more than 900,000 facets, the topology reconstruction only takes more than 2s.
Embodiment 3
[0037] Embodiment 3: Two experiments of vertex data duplicate elimination and surface mesh topology reconstruction show that the algorithm in this paper is very efficient in terms of redundant vertex data elimination and mesh surface topology reconstruction. However, for the topology reconstruction of a grid model, in most cases, it only needs to be reconstructed once, and the grid often needs to be denoised, smoothed, streamlined, etc., so the grid surface topology neighborhood query will play a very important role in the follow-up work. The role of the query efficiency will determine the pros and cons of the algorithm to a certain extent. In order to test the performance of the topology neighborhood query of this algorithm, the Figure 12~17 Perform a 1-ring domain query at any point on the mesh surface shown, that is, query all the triangle surface information around the vertex, such as Figure 21 shown. Randomly collect sample points on different grid surfaces to perform...
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