Loop subdivision surface

Loop Subdivision of an icosahedron (top) after one and after two refinement steps

In computer graphics, Loop subdivision surface is an approximating subdivision scheme developed by Charles Loop in 1987 for triangular meshes.

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

Geologists have also applied Loop Subdivision Surfaces to erosion on mountain faces, specifically in the Appalachians.

External links

Charles Loop: Smooth Subdivision Surfaces Based on Triangles, M.S. Mathematics thesis, University of Utah, 1987 (pdf).
Homepage of Charles Loop.
Jos Stam: Evaluation of Loop Subdivision Surfaces, Computer Graphics Proceedings ACM SIGGRAPH 1998, (pdf, downloadable eigenstructures).

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