A method for the rapid construction of meshes over intersecting triangulate
d shapes is described. The method is based on an algorithm that automatical
ly generates a surface mesh from intersecting triangulated surfaces by mean
s of Boolean intersection/union operations. After the intersection of indiv
idual components is obtained, the exposed surface parts are extracted. The
algorithm is intended for rapid interactive construction of non-trivial sur
faces in engineering design, manufacturing, visualization and molecular mod
elling applications. Techniques to make the method fast and general are des
cribed. The proposed algorithm is demonstrated on a number of examples, inc
luding intersections of multiple spheres, planes and general engineering sh
apes, as well as generation of surface and volume meshes around clusters of
intersecting components followed by the computation of flow field paramete
rs. Copyright (C) 1999 John Wiley & Sons, Ltd.