MATLAB: Overall area of intersecting rectangles

area calculationintersectionMATLABrectangles

Hi all, I have multiple rectangles defined by the rectangle() function, as seen in picture 1. The Hight and Width of the rectangles are variables. The positions of the rectangles are affected by each other, so if if the red rectangle gets bigger, the other rectangles will shift along the x- and y- axes.

I want to calculate the overall Area, so basically as shown in picture 2, the area between the axes and the outermost rectangle boundaries.

Any help is appreciated, thanks!

Best Answer

If you put the rectangles in the form of a polyshape vector, poly, then it is quite easy:

Area= area(union(poly));

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MATLAB: Union of polyshapes ignoring empty ones

When given an array of polyshape objects, area returns an array of the same size. This means you can use it for logical indexing.

A = area(poly1);
U = union(poly1(A > 0))
area(U)

You could encapsulate the union-skipping-empties step into your own function.

function outputPolyshape = unionSkippingEmpties(inputPolyshapes)
A = area(inputPolyshapes);
outputPolyshape = union(inputPolyshapes(A > 0));
end

You could even have this accept a threshold for what counts as an "empty" / "trivial" polyshape that should be excluded from the union.

MATLAB: Hi, Like convex hull has a inbuilt function known as convhul, is there any function for rectangular hull

This FEX submission looks like it provides that,

http://www.mathworks.com/matlabcentral/fileexchange/34767-a-suite-of-minimal-bounding-objects

Best Answer

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MATLAB: Union of polyshapes ignoring empty ones

MATLAB: Hi, Like convex hull has a inbuilt function known as convhul, is there any function for rectangular hull

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