Steinitz theorems for orthogonal polyhedra
D Eppstein, E Mumford - Proceedings of the twenty-sixth annual …, 2010 - dl.acm.org
We define a simple orthogonal polyhedron to be a three-dimensional polyhedron with the
topology of a sphere in which three mutually-perpendicular edges meet at each vertex. By …
topology of a sphere in which three mutually-perpendicular edges meet at each vertex. By …
Steinitz theorems for simple orthogonal polyhedra
D Eppstein, E Mumford - Journal of Computational Geometry, 2014 - jocg.org
We define a simple orthogonal polyhedron to be a three-dimensional polyhedron with the
topology of a sphere in which three mutually-perpendicular edges meet at each vertex. By …
topology of a sphere in which three mutually-perpendicular edges meet at each vertex. By …
On the Construction of Planar Embedding for a Class of Orthogonal Polyhedra
Abstract 2D-representations of 3D digital objects find versatile applications to computer
vision, robotics, medical imaging, and in discrete geometry. This work presents an algorithm …
vision, robotics, medical imaging, and in discrete geometry. This work presents an algorithm …
Stoker's Theorem for Orthogonal Polyhedra
Stoker's theorem states that in a convex polyhedron, the dihedral angles and edge lengths
determine the facial angles if the graph is fixed. In this paper, we study under what …
determine the facial angles if the graph is fixed. In this paper, we study under what …
[PDF][PDF] Turning Orthogonally Convex Polyhedra into Orthoballs.
As a step towards characterizing the graphs of orthogonally convex polyhedra, we show that
for any simple orthogonally convex polyhedron there is an orthoball that is equivalent in the …
for any simple orthogonally convex polyhedron there is an orthoball that is equivalent in the …