Compute the centroids associated with a multiregion polygon.
Create a polygon containing two solid regions, and then compute its centroid.
x1 = [0 1 2];
y1 = [0 1 0];
x2 = [2 3 4];
y2 = [1 2 1];
polyin = polyshape({x1,x2},{y1,y2});
[x,y] = centroid(polyin);
plot(polyin)
hold on
plot(x,y,'r*')
hold off
To compute the centroid of each region separately, specify the boundary indices of each region in the second argument.
[x,y] = centroid(polyin,[1 2]);
plot(polyin)
hold on
plot(x(1),y(1),'r*',x(2),y(2),'r*')
hold off
Alternatively, you can compute the centroid of each region by first separating the regions into separate polyshape objects. Use the regions function to create an array of polyshape objects, where each element of the array is a polyshape defining one of the triangular regions.
polyarray = regions(polyin)
polyarray =
2x1 polyshape array with properties:
Vertices
NumRegions
NumHoles
x-coordinate of the centroid of a
polyshape, returned as a scalar, vector, matrix, or
multidimensional array. If the input is an array of
polyshape objects, then x contains
the x-coordinates of the centroid of each
polyshape.
y-coordinate of the centroid of a
polyshape, returned as a scalar, vector, matrix, or
multidimensional array. If the input is an array of
polyshape objects, then y contains
the y-coordinates of the centroid of each
polyshape.