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.

Geologists have applied Loop subdivision surfaces to model erosion on mountain faces, specifically in the Appalachians.

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Loop subdivision of an icosahedron
Loop subdivision of an icosahedron ; refinement steps zero, one, and two