如何在Matlab中获得2d高斯核 [英] how to obtain 2d Gaussian kernel in matlab

问题描述

如何获取采样到3个
标准偏差（3 x 3）并重新缩放为单位体积的2D圆对称
高斯加权函数？

解决方案

尝试

该功能已标准化为单位体积。要对此进行检查，请注意采样步骤为 1 ，因此逼近积分的黎曼总和就是所有函数值的总和：

 >> sum（z（:)）
 ans = 
 1.0000 
  

How do I obtain 2D circularly symmetric Gaussian weighting function sampled out to 3 standard deviations (3 x 3) and re scaled to unit volume?

解决方案

Try fspecial (Image Processing Toolbox) with the 'gaussian' option. For example,

z = fspecial('gaussian', [30 30], 4);

generates values on a 30×30 grid with sampling step 1 and standard deviation 4.

surf(z)

produces the graph

The function is normalized to unit volume. To check this, note that the sampling step is 1, so that the Riemann sum approximating the integral is just the sum of all function values:

>> sum(z(:))
ans =
    1.0000

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