Polygon simplification method based on point deletion algorithm
A polygon and algorithm technology, applied in the field of polygon simplification based on point deletion algorithm, can solve the problems of complex calculation and slow speed, and achieve the effect of small calculation amount, retaining feature points, and polygon simplification.
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[0024] The present invention will be further described below in conjunction with the accompanying drawings.
[0025] Such as figure 1 As shown, a polygon simplification method based on the point deletion algorithm includes the following steps:
[0026] Step 1. Arrange all the vertices of the polygon into a vertex queue P according to the adjacent relationship 1 (x 1 , Y 1 ), P 2 (x 2 ,y 2 ), P 3 (x 3 ,y 3 )…P n (x n ,y n )(n>3), the mth vertex P in the two-dimensional polygon m The angle formed by the two adjacent sides is called the vertex angle m (0m m . Calculate the vertex angle and vertex area corresponding to each vertex. calculate area m and angle m The values are as follows:
[0027] area m =|((x m -x m-1 )*(y m+1 -y m-1 )-(y m -y m-1 )*(x m+1 -x m-1 )) / 2|
[0028]
[0029] the angle m =cos -1 (cos(angle m ))
[0030] The vertex angle and vertex area of each vertex can be calculated according to the above formula.
[0031] Step 2...
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