如何查找重叠的连接组件 [英] How to find overlapping connected components

问题描述

我有两个单独的图像:第一个图像仅包含黑色的圆形物体，而第二个图像仅包含绿色的圆形物体.我正在尝试编写一个代码，以找出黑色对象中有多少绿色.重叠图像1(仅具有黑色对象的图像)和图像2(仅具有绿色对象的图像)时，可能会发生三种不同的情况.

I have two separate images: the first image only contains the black round objects, while the second image only contains the green round objects. I am trying to make a code that will figure out how much of the green is in the black objects. There are three different scenarios that could happen when overlaying image 1 (image with black objects only) and image 2 (image with green objects only) as shown in the image below.

我尝试使用regionprops提取黑色和绿色对象的像素索引，并使用ismember检查是否有重叠的像素.每个像元包含单个对象的像素索引.我觉得我在代码中做错了什么，但我似乎无法理解它的确切含义.我敢肯定，有一种更简单的方法可以做到这一点.

I have tried to extract the pixel indices of the black and green objects using regionprops and check whether if there are any overlapping pixels using ismember. Each cell contains the pixel indices of the a single object. I feel that there is something I'm doing wrong in the code but I can't seem to grasp what it is exactly. I'm sure that there is a simpler method to do this.

blackProperties = regionprops(logical(blackImage),'all');
greenProperties = regionprops(logical(greenImage),'all');
numBlackObjects = length(blackProperties);
numGreenObjects = length(greenProperties);
blackPixels = cell(1,numBlackObjects);
greenPixels = cell(1,numGreenObjects);

for j = 1:numBlackObjects
    blackPixels{j} = blackProperties(j).PixelIdxList;
end

for j = 1:numGreenObjects
    greenPixels{j} = greenProperties(j).PixelIdxList;
end

matchMem = zeros(100,2);

for j = 1:numel(blackPixels)
    blackPix = blackPixels{j};
    for i = 1:numel(greenPixels)
        greenPix = greenPixels{i};
        match = ismember(blackPix,greenPix);
        matchMem(match,1) = find(match);
        matchMem(match,2) = i;
    end
end

推荐答案

您可以对绿色和黑色图像进行逻辑与(&)，以告诉您它们重叠的位置.然后，如果需要连接的组件，则可以在生成的重叠图像上调用regionprops.

You can just do a logical AND (&) with the green and black images which will tell you where they overlap. Then if you need connected components, you can call regionprops on the resulting overlap image.

green_and_black = blackImage & greenImage;
overlap_props = regionprops(green_and_black, 'all')

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