MATLAB: How can i convert a polygon into a rectangle

graphicsimage processingMATLAB

I have a 4 side polygon that i draw on a video frame. I would like to take this polygon and make it a rectangle so i will be able to treat it as a matrix.I want to take the smallest rectangle i can have but still be as close as i can to the original vertices. Can anyone help me with that please? I've been trying to do it for a several days and with no success. Keep in mind that my polygon can be completely not parallel to the axes and in that case i want to get a rectangle that is also not parallel to the axes.

Best Answer

It's not trivial. But luckily John D'Errico has done it for you. See his File Exchange: http://www.mathworks.com/matlabcentral/fileexchange/34767-a-suite-of-minimal-bounding-objects

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MATLAB: Draw diagonals of rectangle

If you're looking for a function, check out interconnections()

rectPos = [1 2 5 6]; %[left, bottom, width, height]; 

interconnections(repmat(cumsum(rectPos([1,3])),2,1), repmat(cumsum(rectPos([2,4])),2,1)', true); 
% This will also draw the rectangle

Alternatively,

rectPos = [1 2 5 6]; %[left, bottom, width, height]; 
rectangle('Position',rectPos); 
hold on
plot(cumsum(rectPos([1,3])), [cumsum(rectPos([2,4]));fliplr(cumsum(rectPos([2,4])))], '-k')

MATLAB: Radius of curvature of a crater on a surface

So you'll need to first determine all of the faces that are within the dimple. If the rest of the mesh is convex, you could do this by looking at vertices that are not part of the convex hull and all of the faces that contain these vertices. Once you have this information, calculation of the radius of curvature just becomes algebra.

For calculating the convex hull:

http://www.mathworks.com/help/releases/R2013b/matlab/ref/delaunaytriangulation.convexhull.html

Best Answer

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MATLAB: Draw diagonals of rectangle

MATLAB: Radius of curvature of a crater on a surface

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