How can i get the smallest shape using a list of centroid coordinates?

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Miguel Ramirez 2023-7-11

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https://ww2.mathworks.cn/matlabcentral/answers/1994418-how-can-i-get-the-smallest-shape-using-a-list-of-centroid-coordinates

评论： Miguel Ramirez 2023-7-14

As part of image analysis protocol, I have binary images with shapes I have detected using region props. As the dimensions of the original area containing the shapes differs outside the edges of the shape-enriched area, I am trying to find the smallest shape that includes all the dots (shapes detected with regionprops). The approaches I have looked for deal with paths that intersect with all the shapes, hamiltonian paths and whatsoever, but I only need the outer shapes to be the actual vertexes of the shape, the ones inside the resulting shape need to be left excluded.

If you need a visual explanation, imagine a circle-like distribution of stars, how can I get a shape that includes all the stars, both the ones that end up making the shape perimeter and the ones that are left inside?

Thank you!

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Jonas 2023-7-12

is the distribution of your stars concave? than maybe a convex hull using bwconvhull may be what you are searching for?

if I misunderstood, could you show an image and mark what you want to get from it?

Miguel Ramirez 2023-7-12

Its wedged shape (it is a biological sample so it is subjetcted to change). I just compared your suggestion(white shape) with the alphashape i obtained. It looks the latter is much more conservative with the actual shape (sickle versus wedge).