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Hough变换利用图像空间和Hough参数空间的点-线对偶性,把图像空间中的检测问题转换到参数空间。通过在参数空间里进行简单的累加统计,然后在Hough参数空间寻找累加器峰值的方法检测直线。例如,图1(a)中的九条线段对应于如图1(b)所示的其Hough参数空间的九个累加器峰值。图1(b)中,Hough参数空间的横纵坐标分别为直线极坐标方程:ρ=x×cos(θ) + y×sin(θ) 的两个参数ρ和θ。九个峰值的ρ和θ值唯一的确定其对应线段所在直线的两个参数。并且线段的长度决定坐标(ρ,θ)处的累加值的大小。,Hough transform using the image space and Hough parameter space point- line duality, the detection problem in the image space conversion to the parameter space. Through simple accumulation statistics, and then in the Hough parameter space in the parameter space Find accumulator peak detect linear. For example, in Figure 1 (a), corresponding to the nine segments in Figure 1 (b) shown in the Hough parameter space of nine accumulator peak. Figure 1 (b), the horizontal and vertical coordinates of the on Hough parameter space respectively linear polar coordinate equation: ρ = xcos (θ) PPLS ysin (θ) of the two parameters ρ and θ. Nine peak of ρ and θ values uniquely determine the two parameters of the corresponding segments where the straight line. And the length of the line segment to decide the size of the accumulated value of the coordinates (ρ, θ) at.
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