Surfaces in three-dimensional digital images

On the characterization of simple closed surfaces in three-dimensional digital images

Isosurfaces computation for approximating boundary surfaces within three-dimensional images

In the visualization of three-dimensional (3D) images, specific isosurfaces are usually extracted from 3D images and used to represent (approximate) boundary surfaces of certain structures within 3D images. In order to well approximate the boundary surfaces of these structures, it is important to determine a good isosurface for each boundary surface. An isosurface is said to be a good isosurfac...

Computational study of three dimensional potential energy surfaces in intermolecular hydrogen bonding of cis-urocanic acid

Smooth surfaces in three-dimensional Euclidean space

are locally described by classical differential geometry. In case some spatial direction (e.g., the direction of gravity in the natural landscape or the viewing direction in visual space) assumes a special role, this formalism has to be replaced by the special theory of “topographic surfaces’’ and one speaks of “surface relief ’’ (Liebmann, 1902/1927). Examples include topographic relief and— i...

Random Surfaces in Three-Dimensional Simplicial Gravity

A model of simplicial quantum gravity in three dimensions is investigated numerically based on the technique of the dynamical triangulation (DT). We are concerned with the surfaces appearing on boundaries (i.e., sections) of three-dimensional DT manifold with S3 topology. A new scaling behavior of genus distributions of boundary surfaces is found. Furthermore, these surfaces are compared with t...