How Matlab calculate the centroid of a polyshape?

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David Franco 2020-4-27

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https://ww2.mathworks.cn/matlabcentral/answers/521190-how-matlab-calculate-the-centroid-of-a-polyshape

评论： David Franco 2020-5-3

I am using the centroid command to find the centroids of polyshapes, but on the documentation I didn't find how Matlab calculates it... Somebody knows the formula used by Matlab centroid function?

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darova 2020-4-28

look here

David Franco 2020-4-28

Thank you darova!

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采纳的回答

David Franco 2020-4-28

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https://ww2.mathworks.cn/matlabcentral/answers/521190-how-matlab-calculate-the-centroid-of-a-polyshape#answer_428895

From http://paulbourke.net/geometry/polygonmesh/:

Where:

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darova 2020-4-28

or wikipedia

David Franco 2020-5-3

I found a old paper with the formula derivation:

John K. Hall. Algorithms and programs for the rapid computation of area and center of mass. Computers & Geosciences, Volume 1, Issue 3, 1976, Pages 203-205. https://doi.org/10.1016/0098-3004(76)90008-X.

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