Techniques for Visualizing
Michael J. Laszlo · 1990
Computer graphics has long been concerned with representing and displaying surfaces in $-dimensional space %3. We address the questions of representation and display in a higher dimensional setting, specifically, that of 3-manifolds immersed in %*. We describe techniques for visualizing the cross-section surfaces of a $manifold formed by a cutting hyperplane. The manifold is first triangulated, so that the cross-section may be computed on a per tetrahedron basis. The triangulated manifold is stored in a data structure which eficiently supports calculation of curvature. We expect the techniques, which we have implemented on the Personal IRIS, will support a highly-interactive system when implemented on a fine-grain parallel computer such as the Connection Ma chin e.