MATLAB: How to find the intersection face between a line and a 3D mesh of trianlges

intersectionintersection line-3dobjectintersection ray-mesh

Hello everyone,

I have a triangulated patch of a 3D object. I have the matrixes with all the vertixes and faces of my mesh.

Setting a line in the 3D space I would like to obtain the index of which face does my line intersect.

To be more specific:

Using the function Triangle/Ray Intersection (https://ch.mathworks.com/matlabcentral/fileexchange/33073-triangle-ray-intersection) I defined a ray normal to one of my traingles on the mesh. This ray is then intersecting my 3D object in a second triangle. I need to know which triangle is it in my matrix of faces 'f', in order to then compute the thickness of my object as distance of the two faces.

Thank you for any help,

I hope it is clear.

Best Answer

Here is a link for a similar answered question. Hope it will help.

https://www.mathworks.com/matlabcentral/answers/353968-how-can-i-find-the-intersection-between-a-line-and-a-3d-surface?s_tid=answers_rc1-3_p3_MLT

Related Solutions

MATLAB: How to find the intersection between a line and a 3D surface

The "surface" exists only in your mind. All you have are points. Isolated points. So until you find away to connect those points into a true surface in some form, you can do nothing.

Simple is to use a convex hull. That is great, if the volume described is truly convex, or even sufficiently close to being convex. Your next choice is to use an alpha shape.

In either of the above cases, the outer boundary is a triangulation. So now the problem reduces to solving for the intersection of a line with a triangulated surface. This part is pretty easy. You just need to solve for the intersection of a line with a triangle, and then repeat for each triangle. Better code will see how to eliminate some of those triangles from consideration, but in any case it is not that hard. Just computational geometry.

MATLAB: How to create a 3D mesh

Use the "generateMesh" function in the Partial Differential Equation Toolbox to generate a 3D mesh.

Refer to the following example that imports a 3D model, creates a mesh, and displays the mesh.

model = createpde;
importGeometry(model,'Torus.stl');
mesh = generateMesh(model);
[p,e,t] = meshToPet(mesh); %convert form of mesh
figure; pdemesh(mesh);
figure; pdemesh(p,e,t);

For more details refer to the following link:

https://www.mathworks.com/help/pde/ug/pde.pdemodel.generatemesh.html

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Related Solutions

MATLAB: How to find the intersection between a line and a 3D surface

MATLAB: How to create a 3D mesh

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