Method and system for describing features of three-dimensional geometrical shape
A technology of three-dimensional geometry and feature description, applied in the field of pattern recognition, it can solve the problems of inability to describe the common features of three-dimensional geometric shapes, large amount of calculation, judgment error, etc., and achieve the effect of accurate description, fast speed and simple calculation method.
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Embodiment approach 1
[0049] like figure 1 As shown, the three-dimensional geometric shape feature description system in the present embodiment includes a reference point computing device 11, a feature point computing device 12, a feature point information computing device 13 connected to the reference point computing device 11 and the feature point computing device 12, And the description device 14 connected with the feature point information obtaining device 13 . Wherein, the feature point obtaining device 12 includes a curvature calculation unit 121 , a feature domain determination unit 122 and a feature point determination unit 123 .
[0050] The reference point calculating means 11 is used for calculating the reference point of the three-dimensional geometric shape. The reference point refers to a point whose position relative to the boundary of the three-dimensional geometric shape remains unchanged under the conditions of rotation, translation and scaling. In the case of zooming, the const...
Embodiment 1
[0105] In this embodiment, the Figure 5 The standard three-dimensional geometric shape shown obtains feature point information to realize the feature description of the standard three-dimensional geometric shape. in, image 3 (a) is a regular cube; (b) is a regular triangle; (c) is a cylinder.
[0106] First, calculate Figure 5 The reference point (first reference point) of the three-dimensional geometric shape shown, denoted as P c (x, y, z), the area Sc of the boundary surface of the geometric shape. The reference points of the boundary surfaces of the regular cube, regular triangle and cylinder are as follows: Figure 5 Shown in point c.
[0107] The maximum normal curvature, minimum normal curvature and Gaussian curvature calculated for the 6 planes of the regular cube are all 0; the maximum normal curvature calculated for the 12 edges are all (3.14 / 2)∞, and the minimum normal curvature is all 0; The maximum and minimum normal curvatures obtained for the 8 vertices...
Embodiment 2
[0156] In this embodiment, the Image 6 The shown three-dimensional geometric shape obtains feature information, and the three-dimensional geometric shape is a regular cube, with a protruding part on the top of the regular cube and a concave part on the right side.
[0157] Due to the protrusion on the top of the regular cube and the depression on the right side, the calculated reference point is offset upward and rightward from the reference point of the original regular cube, such as Image 6Shown in point c. According to the calculation of the curvature on the surface, the features reflecting the shape change include the 8 vertices of the regular cube and the vertices of the convex part above, the space circle with the extreme value of the curvature at the beginning of the convex part of the plane, and the vertices of the concave part of the right plane, and the plane A space circle with an extreme value of curvature at the beginning depression. reflect Image 6 There ar...
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