@techreport{oai:ipsj.ixsq.nii.ac.jp:00032670, author = {Herbert, Edelsbrunner and Herbert, Edelsbrunner}, issue = {98(1989-AL-012)}, month = {Nov}, note = {We study three types of spatial triangulations: Delaunay triangulations triangulations with non-obtuse dihedral angles and KJ-triangulations. The latter satisfy a certain angle condition useful for finite element approximation. We show that the condition for Delaunay triangulations is incomparable with the other two conditions and that triangulations with non-obtuse dihedral angles are necessarily also KJ-triangulations. These relationships are in sharp contrast to the ones in the planar case., We study three types of spatial triangulations: Delaunay triangulations, triangulations with non-obtuse dihedral angles, and KJ-triangulations. The latter satisfy a certain angle condition useful for finite element approximation. We show that the condition for Delaunay triangulations is incomparable with the other two conditions, and that triangulations with non-obtuse dihedral angles are necessarily also KJ-triangulations. These relationships are in sharp contrast to the ones in the planar case.}, title = {Spatial Triangulations with Dihedral Angle Conditions}, year = {1989} }