Characteristics description method for plane geometric shape
A technology of plane geometry and feature description, applied in the field of pattern recognition, can solve problems such as large amount of calculation, judgment error, and failure of judgment error, etc., and achieve the effect of simple calculation method, accurate description and fast speed
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Embodiment 1
[0048] like figure 1 As shown, the present embodiment provides a feature description method of a plane geometry, comprising the following steps:
[0049] Step 101, calculate the boundary curve of the obtained plane geometry according to a certain direction, and obtain the curvature information of each point on the boundary curve;
[0050] Curvature can be calculated for boundary curves in a clockwise or counterclockwise direction, starting from any point. According to the definition of curvature, it can be known that the curvature of the boundary curve is calculated along different directions, and the sign of the result is different, but the absolute value is the same. After the calculation direction is selected, it cannot be changed; at the connection point of two piecewise continuous functions, when the two functions are at the connection point and the derivative is discontinuous, the curvature of the point is positive or negative infinity.
[0051] Step 102, obtaining the r...
Embodiment 2
[0087] The embodiment of the present invention adopts the figure 2 The geometric shape shown obtains feature information to realize the feature description of this geometric shape. Mathematical description Y=F(X) of the boundary curve of any geometric shape. Without loss of generality, the boundary curve is composed of n piecewise continuous functions {y=f1(x), y=f2(x)...y=fn(x)}. The process of feature information acquisition method is as follows: image 3 shown, including the following steps:
[0088] Step 301: get figure 1 The mathematical description of the boundary curve of the shown geometric shape Y=F(X), such as figure 1 As shown, the boundary curve is composed of 4 piecewise continuous functions {y=f1(x), y=f2(x), y=f3(x), y=f4(x)}; where f2(x) is The arc of a semicircle, f4(x) is a straight line; starting from any point p on the boundary curve, calculate the curvature on the boundary curve clockwise, according to the definition of curvature, calculate the curva...
Embodiment 3
[0103] by right Figure 5 The characteristic information of the geometric shape formed by the shown unclosed curve is obtained, which shows that the plane geometric shape can be composed of any combination of closed curve and unclosed curve; the process of obtaining the characteristic information is completely consistent with the above steps, the only difference is whether Closed curve constitutes a mathematical description of geometric shape, let Figure 5 The mathematical description function of the shown closed curve is y=fa(x), and the function is defined in Figure 5 In (a, b) between two points. Define another function y=fb(x) between two points (a, b), and there is fb(x)=fa(x), so fa(x) and fb(x) constitute a closed curve, so , the feature information of this geometric shape can be obtained by the same method; similarly, the feature information of the geometric shape composed of any combination of closed curves and unclosed curves can also be obtained by the same meth...
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