intersection of two triangles (2024)

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Sososasa on 3 Apr 2014

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Commented: Yash Jangir on 21 Aug 2020

Accepted Answer: Marta Salas

Hi,

I have 2 triangles and I would like to know if they are inside each others or they intersect. Like the picture How I can do that ? I read about polyxpoly but to be honest I don't understand how to use it in this scenario.

intersection of two triangles (2)

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Marta Salas on 3 Apr 2014

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% this define the vertexes (x,y) of first triangle

trian1x =[ 0 0.5 1 0];

trian1y =[ 0 1 0 0];

% this define the vertexes (x,y) of second triangle

See Also
Finding the Intersection of Two Lines Using MatlabIntersection points for lines or polygon edgesPlot intersection between two surfaces and a plane.MATLAB code of intersection

trian2x =[ 0 0.25 0.5 0];

trian2y =[ 0 0.5 0 0];

% (xi,yi) are the intersection points

[xi,yi] = polyxpoly(trian1x,trian1y,trian2x,trian2y,'unique');

figure,

plot(trian1x,trian1y,'b')

hold on

plot(trian2x,trian2y,'r')

hold on

plot(xi,yi,'*g')

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Sososasa on 3 Apr 2014

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Edited: Sososasa on 3 Apr 2014

Hi Marta,

This gives me the intersection points even when one triangle is lie inside the other. And I only need to get the intersection points if one of them is not contained inside the other.

If I get the intersection point in both situations, then I can not decide if one of them is actually inside the other or not.

Marta Salas on 3 Apr 2014

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Edited: Marta Salas on 3 Apr 2014

You can decide whether it's inside or not checking if the intersection points correspond to the triangle vertexes.

Sososasa on 4 Apr 2014

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Ines on 19 Apr 2016

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Hi If I have the vertexes of two triangles, how can I check if they intersect or not? I need a function that just gives me true if they intersect and false if not. Thanks

Yash Jangir on 21 Aug 2020

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what if there are no intersection points but the triangle is completely inside the other triangle?

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Rushabh Khattri on 22 Aug 2017

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I am getting this error :- Undefined function 'polyxpoly' for input arguments of type 'double'.

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Jan on 22 Aug 2017

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The first point to start is asking an internet search engine for this term: "Matlab polyxpoly". You will find out, that this command belongs to the Mapping Toolbox: https://www.mathworks.com/help/map/ref/polyxpoly.html. It seems like you do not have a license for this toolbox and then you need a different solution. Please open a new thread then.

John D'Errico on 22 Aug 2017

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This is not an answer. It is only a new question, but resurrecting a zombie question, that is only partially related.

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