Improved QEM three-dimensional model simplifying method
A technology of three-dimensional model and mesh model, applied in the field of image processing, which can solve the problems of antenna loss, failure to retain, and inability to retain local tip features.
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[0027] The steps of the present invention are:
[0028] Dihedral: mesh model vertex set , the edge set , face set ;Assume v for mesh model M a vertex in the for v The ordered adjacent vertices of , then the edge is expressed as , the angle between two adjacent sides , the surface is expressed as , then there is a face normal , the dihedral angle of the two faces is the included angle between the normal directions of the two faces, so there is a dihedral angle ;
[0029] Gaussian curvature and mean curvature: Gaussian curvature of a vertex in the mesh K describes the mesh model at the vertices v The degree of bending at is defined as:
[0030] (4.8)
[0031] in, is the angle between two adjacent sides, is the sum of the areas of all the triangles where the vertex is located;
[0032] mean curvature at a point in the mesh H Describes the degree of curvature of adjacent triangular patches, defined as:
[0033] (4.9)
[0034] in, is the edge ...
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