How to measure area from voronoi function?

I am trying to measure area (also individual's length and width) from voronoi function as all samples are not in same line.

 Accepted Answer

To Calculate Area of a voronoi polygon (and length and width), you need to find out the vertices of voronoi edges. To find the vertices you have to create Delaunay triangulation from the set of points. The vertices of the Voronoi edges are located at the circumcenters of the Delaunay triangles. The Circumcenter function returns a matrix of set of circumcenters. Look into Voronoi Diiagrams for more info.
TR = delaunayTriangulation(P);
C = circumcenter(TR);
To find area of a voronoi polygon you can use convhull function.
[~,area]=convhull(vertices);

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Asked:

on 25 Nov 2022

Commented:

on 3 Dec 2022

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