Loop subdivision surface

Subdivision surface derived from a triangular mesh From Wikipedia, the free encyclopedia

In computer graphics, the Loop method for subdivision surfaces is an approximating subdivision scheme developed by Charles Loop in 1987 for triangular meshes.[1] Prior methods, namely Catmull-Clark[2] and Doo-Sabin,[3] focused on quad meshes.

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

Loop subdivision surfaces are defined recursively, dividing each triangle into four smaller ones. The method is based on a quartic box spline. It generates C2 continuous limit surfaces everywhere except at extraordinary vertices, where they are C1 continuous.[4]

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