Centroid of irregular polygons

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The discussion revolves around calculating the centroid of irregular polygons, specifically in the context of anatomical features on SPECT and MRI scans. The user seeks a precise scientific definition of a centroid for their dissertation, expressing uncertainty about their current definition related to moments. A participant suggests that the centroid is often referred to as the "center of mass" in physics and provides a link to a mathematical resource for further clarification. The conversation emphasizes the need for a mathematically sound definition of the centroid. Overall, the focus is on refining the understanding of centroids in a scientific and mathematical context.
jonnylane
Hi there,

I have a bit of a problem for you. I have recently had to write a program to compute the centroid (centre of area) of a 2d shape. I used a many-point weighted triangle method. The shapes themselves are ROI's of anatomical features on SPECT and MRI scans.

Im writing up my dissertation and I am trying to come up with a scientific definition of a centroid. I've tried "point of rotation at which ACW moment = CW moment = 0,and a few others, but this doesn't sound right in the purely mathematical context.

any ideas?
thanks
 
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