An adaptive sampling method for complex surface detection based on triangular mesh simplification
A self-adaptive sampling and triangular grid technology, which is applied in measurement devices, design optimization/simulation, and special data processing applications, etc., can solve the problems of complex calculation, large amount of calculation, and low measurement efficiency, and achieve simple calculation and large amount of calculation. Small size, the effect of improving efficiency and precision
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[0037] The technical solutions of the present invention will be further specifically described below through the embodiments and in conjunction with the accompanying drawings. The present invention is an adaptive sampling method for complex curved surface detection based on triangular mesh simplification. The planning process of the sampling point is mainly divided into three stages, which are the calculation of the quadratic error matrix, the calculation of the curvature factor, and the simplification of the triangular mesh to obtain the sampling point. According to the order of application, it is divided into the following operation steps:
[0038] Step 1. Calculation of the quadratic error matrix
[0039] Let the set of surrounding triangles of any vertex v in the triangular mesh be planes(v), such as figure 1 As shown, let the triangle Δvv i v i+1 The equation of the plane p is a p x+b p y+c p z+d p = 0, where Then the quadratic error matrix of vertex v is:
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