Image processing -Algorithm to calculate centroids of white space in binary image

algorithmcentroidformulaimage-processing

The problem is that I need a simplified version of algorithm, which can calculate centroid of several white contours in a binary image. For example, if there is only one white contour, coordinates Xc and Yc of the contour center are calculated using formula:

Formula

where M is the sum of intense m_i, m_i is the pixel intense value, x_i and y_i are pixel location on the image, n is the total number of pixels.

Can anyone suggest something similar to work with several contours, or how to ignore others while calculating one of them using same formula?

Best Solution

Use some algorithm called connected component labeling first to separate the different blobs. This will assign a unique ID to each region. Then, you can compute a centroid per blob.

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