如何检测图像中的45度边缘 [英] How to detect 45 degree edges in an image

问题描述

如果不是只获得所有边缘，我只希望形成45度角的边缘。有什么方法可以检测到这些？

If instead of getting all edges, I only want edges that make 45 degree angles. What is a method to detect these?

是否可以检测所有边缘，然后以某种方式运行约束霍夫变换来检测哪些边缘形成45度？

Would it be possible to detect all edges, then somehow run a constrained hough transform to detect which edges form 45 degrees?

推荐答案

使用对角线结构元素并仅对图像进行卷积有什么问题？

What is wrong with using an diagonal structure element and simply convolve the image??

请在此处进行阅读，并且应该清楚如何构建结构元素。如果您熟悉卷积，则可以构建一个简单的结构矩阵，无需理论即可放大对角线

Please read here and it should become clear how to build the structuring element. If you are familiar with convolution than you can build a simple structure matrix which amplifies diagonals without theory

{ 0,  1,  2}, 
{-1,  0,  1}, 
{-2, -1,  0}

这个想法是：您想放大图像中的像素，其下方45度与上方45度有所不同。在45度边缘时就是这种情况。

The idea is: You want to amplify pixel in the image, where 45deg below it is something different than 45deg above it. Thats the case when you are at a 45deg edge.

举个例子。后续图片

由上述矩阵卷积得到一个灰度图像，其中最高像素值具有恰好为45deg的线。

convolved by the above matrix gives a graylevel image where the highest pixel values have those lines which are exactly 45deg.

现在的方法是简单地对图像进行二值化。等等

Now the approach is to simply binarize the image. Et voila

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