Three-dimensional point cloud restoration method based on local smoothness and non-local similarity
A technology of three-dimensional point cloud and repair method, which is applied in the field of point cloud repair, and can solve the problems that the boundary is prone to artifacts and distortion.
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[0041]In order to make the above-mentioned features and advantages of the present invention more comprehensible, the following specific embodiments are described in detail in conjunction with the accompanying drawings.
[0042] Aiming at the method of the present invention, firstly introduce the basic concepts in the spectral graph theory, and then propose the eigenvector frequency interpretation based on the graph node domain, the spectral graph theory will be the core of the method in the invention. The spectrum theory includes the following contents:
[0043] (1) Graph and graph Laplacian operator:
[0044] Define an undirected graph, G={V,E,W}. V is the set of vertices on the graph, |V|=N; E is the set of edges; W is the weighted adjacency matrix. where W is a N×N real symmetric matrix, w i,j is the weight of the edge connecting vertex i to vertex j, and usually uses a non-negative value as the weight.
[0045] The graph Laplacian is usually defined as L=D-W, where D i...
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