方法将矩阵分成小矩阵的块 [英] Method to split a matrix into blocks of the small matrix

问题描述

我有一个问题，想知道如果有人能提供一个理想的解决方案。

I have a problem and would like to know if anyone could offer an ideal solution.

基本上（小数据），但是，如果我有这样的一个矩阵：

Basically (small data) but, if I have a matrix like this:

     0 1 0 0
     1 1 1 0
     0 0 0 0
     1 1 0 0

我然后需要分割此矩阵成大小相同的第二矩阵的块，在这种情况下，2×2：

I then need to split this matrix into blocks that are of the same size as the second matrix, in this case 2x2:

0 1
1 1

我知道它有什么做的offsetX / Y值，而这些变化取决于（小）矩阵的大小，我只是不知道这个算来计算这样的结果。我将要传递offsetX / Y到函数（矢量），所以我可以计算出特定块的总和。

I know it has something to do with the offsetX/Y values and these change depending on the size of the (small) matrix, I just don't know the calculation to calculate such results. I'm going to be passing the offsetX/Y to a function (with the vector) so I can calculate the sum of the particular block.

有没有人有什么建议？

感谢

推荐答案

在数学上，你可以分割矩阵的曲线，例如AZ曲线或皮亚诺曲线。这样，你也将减少尺寸的复杂性。为Z曲线采用4四边形分裂飞机，像一个四叉树。

Mathematically you can split the matrix with a curve for example a z curve or a peano curve. That way you would also reduce the dimensional complexity. A z curve uses 4 quads to split a plane and resemble a quadtree.

编辑：我刚刚得知，它的Z顺序曲线，而不是ž曲线：的http：// en.wikipedia.org/wiki/Z-order_curve 。为Z曲线是三维的东西在bionformatics http://en.wikipedia.org/wiki/Z_curve ???大声笑！我不是一个生物信息学家，也没有我在维基百科，但声音对我来说没有什么意义。一个Z有序的曲线也可以覆盖一个三维区域。也许维基百科想说这个？这里是一个三维的Z顺序曲线的大图片的http：// EN .wikipedia.org /维基/文件：勒贝格-3D-step3.png 。它甚至在维基百科的文章?????

I just learned that it's z-order curve and not z curve: http://en.wikipedia.org/wiki/Z-order_curve. A z curve is something 3d in bionformatics http://en.wikipedia.org/wiki/Z_curve??? LOL! I'm not a bioinformaticians nor am I in wikipedia but that sound to me like nonsense. A z-ordered curve can also cover a 3d area. Maybe wikipedia wants to say this? Here is a big picture of a 3d z-order curve http://en.wikipedia.org/wiki/File:Lebesgue-3d-step3.png. It's even on the wikipedia article?????

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