opencv计算矩阵等级 [英] opencv calculate matrix rank

问题描述

我正在尝试查找矩阵的等级.在matlab中，这很简单，但是我正在使用Visual Studio 2008(c ++).我最近安装了openCV，到目前为止，它可以用于我的大多数矩阵算法，但是我无法弄清楚如何使用openCV来获得矩阵的排名.在我的在线研究中，我发现cvSVD显然可以给我排名 http://www.emgu .com/wiki/files/1.3.0.0/html/55d6f4d2-223d-8c55-2770-2b6a9c6eefa2.htm

I am trying to find rank of a matrix. In matlab this is fairly straight-forward but I am using visual studio 2008 (c++). I recently installed openCV and it works for most of my matrix arithmetic so far except I can't figure out how to use openCV to get rank of a matrix. In my research online I found that apparently cvSVD can give me rank http://www.emgu.com/wiki/files/1.3.0.0/html/55d6f4d2-223d-8c55-2770-2b6a9c6eefa2.htm

但是我不知道cvSVD将如何返回此特定属性.关于从openCV获取矩阵排名的任何想法?

But I have no idea how cvSVD will return this particular property. Any ideas on getting matrix rank from openCV???

谢谢.

推荐答案

阅读以下内容

http://en.wikipedia.org/wiki/Singular_value_decomposition#Applications_of_the_SVD

范围，空空间和等级部分中，它说明了如何从奇异值中获得等级.引用此页面:

in the section Range, null space and rank it explains how to get the Rank from the singular values. Quoting this page:

因此，M的秩等于非零单数 值

As a consequence, the rank of M equals the number of non-zero singular value

因此，基本上，您可以计算非零奇异值的数量，即秩.根据您在问题中提供的链接，opencv中的SVD计算函数应返回奇异值的矩阵或向量-如果它是矩阵，则奇异值位于该矩阵的主对角线上.从这里，你应该没事.可能有一种更简单的方法，但是我对opencv不熟悉.

So basically you can count the number of non-zero singular values and that is the rank. According to the link you provide in the question, your SVD calculation function in opencv should return you a matrix or vector of singular values - if it is a matrix, the singular values lie on the main diagonal of this matrix. From here you should be ok. There may be a simpler way, but I am not familiar with opencv.

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