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原标题:Detect cubic curve with Hough transform

我有了一个曲线,可以用以下公式界定:

y = ax^3 + bx^2 + cx + d

显而易见的是,如何利用正常的ough变来探测曲线。 然而,我想通过利用梯度方向来缩小参数空间(我已经从对冲探测中去过)。 我无法确定如何利用梯度方向来缩小参数空间。

An idea I had is to find the derivative dy/dx = 3ax^2 + 2bx + c . Now I have only three parameters hence my task is easier. Is this correct tho? How do I get the d parameter if I use this?

最佳回答

After running Hough for dy/dx = 3x^2 + 2ax + b you have

c = f(x,y) = y - x^3 + ax^2 + bx where a and b are known.

Why not another pass, this time looking only for c? Two dimensional accumulator, and then 1 dim is better then 3 dimensional accumulator, anyway.

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