Voronoi Diagram Boundaries with a given width

Question

Boxun YAN 2019-6-27

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https://ww2.mathworks.cn/matlabcentral/answers/469096-voronoi-diagram-boundaries-with-a-given-width

评论： Bruno Lopes 2022-2-20

I had a problem with Voronoi function now. I wish that I can remain a width, say, x(a variable) for each grid.Here is my code but that's wrong. Attached please find a pic that exactly shows what I want to do with Voronoi Diagram.

A = [3,7,2,8,5];
B = [6,1,0,8,1];
x=2;
Voronoi(A,B,"LineWidth",x);

There is a pic telling what I need.

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Bruno Lopes 2022-2-20

A good option for voronoi is the following code: https://it.mathworks.com/matlabcentral/fileexchange/34428-voronoilimit-varargin

It is the best code I found on the internet. It is really complete.

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Answer 1

KSSV 2019-6-27

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https://ww2.mathworks.cn/matlabcentral/answers/469096-voronoi-diagram-boundaries-with-a-given-width#answer_381001

在 MATLAB Online 中打开

A = [3,7,2,8,5];
B = [6,1,0,8,1];
x=2;
h = Voronoi(A,B);
for i = 1:length(h)
    h(i).LineWidth = x ;
end

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Boxun YAN 2019-6-28

Then how can I determine whether a poing(x,y) in the coodinate is in the bound line or in the region?

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Answer 2

Preetham Manjunatha 2022-2-8

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https://ww2.mathworks.cn/matlabcentral/answers/469096-voronoi-diagram-boundaries-with-a-given-width#answer_891355

编辑：Preetham Manjunatha 2022-2-8

If I understand your problem correctly, are you looking to bound the Voronoi region? If so, here is the link function to clip the extending edges of the Voronoi Diagram for rectangular or square region. Rigorously tested on the random points, this function can process an input data set of 2000 seed points in 2D in about 0.015 seconds on average.