从开始/结束索引列表创建向量化数组

问题描述

我有一个两列矩阵M，其中包含一堆间隔的开始/结束索引:

I have a two-column matrix M that contains the start/end indices of a bunch of intervals:

startInd   EndInd
1          3
6          10
12         12
15         16

如何生成所有间隔索引的向量:

How can I generate a vector of all the interval indices:

v = [1 2 3 6 7 8 9 10 12 15 16];

我正在使用循环进行上述操作，但我想知道是否有更优雅的矢量化解决方案?

I'm doing the above using loops, but I'm wondering if there's a more elegant vectorized solution?

v = [];
for i=1:size(M,1)
    v = [v M(i,1):M(i,2)];
end

推荐答案

这里是我想用于此特定问题的矢量化解决方案，使用功能 cumsum :

Here's a vectorized solution I like to use for this particular problem, using the function cumsum:

v = zeros(1, max(endInd)+1);  % An array of zeroes
v(startInd) = 1;              % Place 1 at the starts of the intervals
v(endInd+1) = v(endInd+1)-1;  % Add -1 one index after the ends of the intervals
v = find(cumsum(v));          % Perform a cumulative sum and find the nonzero entries

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