为什么内核大小应该是奇数? [英] Why should the size of the kernel be odd?

问题描述

在图像处理中使用均值过滤器时，为什么内核的大小应奇数?它的大小始终为 3x3 或 5x5 .有人可以解释原因吗?

When using the mean filter in image processing, why should the size of the kernel be odd? It Always takes a odd size as 3x3 or 5x5. Could anyone explain it with reasons?

推荐答案

内核不需要为奇数.定义一个偶数大小的内核是完全可能的.当内核大小为偶数时，哪个像素应该在原点就不太明显了，但这不是问题.您已经看到了大多数奇数大小的过滤器内核，因为它们围绕原点对称，这是一个很好的特性.

The kernel doesn't need to be odd. It's perfectly possible to define an even-sized kernel. When the kernel size is even, it is less obvious which of the pixels should be at the origin, but this is not a problem. You have seen mostly odd-sized filter kernels because they are symmetric around the origin, which is a good property.

这是MATLAB中的一个示例，其中我们使用4x4平均内核(均值过滤器)过滤图像:

Here is an example in MATLAB where we filter the image with a 4x4 averaging kernel (mean filter):

img = imread('cameraman.tif');
img = imfilter(img,fspecial('average',4));
imshow(img)

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