I\'m looking for a library or a paper that describes how to determine if one triangular mesh intersects another.
Interestingly I am coming up empty. If there is some
I think the search term you are missing is overlay. For example, here is a web page on Surface Mesh Overlay. That site has a short bibliography, all by the same authors. Here is another paper on the topic: "Overlay mesh construction using interleaved spanning trees," INFOCOM 2004: Twenty-third Annual Joint Conference of the IEEE Computer and Communications Societies. See also the GIS SE question, "Performing Overlay of Two Triangulated Irregular Networks (TIN)."