Loop subdivision surface
In computer graphics, the Loop method for subdivision surfaces is an approximating subdivision scheme developed by Charles Loop in 1987 for triangular meshes. Prior methods, namely Catmull-Clark and Doo-Sabin (1978), focused on quad meshes. Loop subdivision surfaces are defined recursively, dividing each triangle into four smaller ones. The method is based on a quartic box spline. It generates C continuous limit surfaces everywhere except at extraordinary vertices, where they are C continuous. Applications. Geologists have applied Loop subdivision surfaces to model erosion on mountain faces, specifically in the Appalachians.