How to compute the boundary of the intersection of a plane with an 3d object composed of tetrahedra?
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Hallo,
I want to compute the boundary of the intersection of a 3d odject composed of tetrahedra with a plane in 3d space. The tetrahedra can lie inside another and don't have to be connected face-to-face. If the tetrahedra are only connectetd face-to-face it is easy to detect the surface (triangle faces which belongs only to one tetrahedron). All informations about the tetrahedra are the four vertices.
I can compute the intersection points with the tetrahedra and the plane. Now my problem is to find/detect only these intersection points which lying on the boundary/surface of the object.
Has somebody an idea? Or how I can detect the surface of the object? (If I can compute the surface the intersection with the plane gets easier)
Anin
2 Kommentare
Jan
am 5 Mär. 2013
You did not explain, how the objects are defined. If you have e.g. a set of voxels, or the positions of the corners.Why does it matter, if the tetrahedron lies within another? Does this change the intersection? And what would it change if the focussed object is connected face-to-face to any other object?
Please post additional explanations by editing the question, such that all required information is found in one block, not distributed over different sections. Thanks.
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Jan
am 5 Mär. 2013
If you have the corners of the tetrahedron, it is easy to get the equations for the edges. Then the intersection of these lines and the plane can be found. And the result will be a closed polygone.
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