Corneredge

Corneredge is a term found in several disciplines, but it does not have a single, universally accepted definition. In geometry and computer graphics, some researchers use the phrase to refer to a feature that connects a vertex located at a polyhedral corner to one or more incident edges. This usage is often in the context of mesh analysis, corner detection, or crease preservation, where identifying corner-edges can help guide operations such as subdivision, smoothing, or feature preservation. A corner-edge graph in this sense describes the incidence relations between corner points and edges of a mesh.

In polyhedral combinatorics and related fields, the term is sometimes employed informally to describe local configurations around a vertex where several edges meet. However, standard terminology typically emphasizes vertices, edges, and faces rather than a separate ‘corner-edge’ concept.

In architecture and construction, corneredges refer more literally to edging materials or moldings applied to exterior or interior corners for weatherproofing, aesthetics, or abrasion resistance. This architectural use is distinct from geometric or computational meanings.

Because corneredge is not a standard term with a fixed definition, its meaning varies by source. When encountered, it is advisable to consult the original context to determine whether it denotes a mesh feature, a local geometric configuration, or an edging component.

See also: vertex, edge, graph, mesh, polyhedron, crease, incidence.