meshtopology
Meshtopology is the study of the connectivity structure of a mesh—the way its elements are linked to one another—independent of the geometric positions of its vertices. It describes how vertices, edges, faces, and cells form a discrete representation of a domain, and encapsulates properties such as boundary, interior, and genus. A valid mesh topology supports consistent data association for simulations and rendering and can influence solver behavior and numerical stability.
In two dimensions, a mesh consists of vertices connected by edges to form polygonal faces, most commonly
Data structures for representing meshtopology separate geometric embedding from connectivity. Common representations include the half-edge (or
Operations of interest include refinement and coarsening, vertex and edge splits or merges, and hole creation