Jump to content

Loop subdivision surface

Edit links
From Wikipedia, the free encyclopedia

This is an old revision of this page, as edited by 50.198.186.244 (talk) at 23:24, 5 January 2018. The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

Loop subdivsion of an icosahedron
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. [citation needed]

See also

References

  • Charles Loop: Smooth Subdivision Surfaces Based on Triangles, M.S. Mathematics thesis, University of Utah, 1987 (pdf).
  • Jos Stam: Evaluation of Loop Subdivision Surfaces, Computer Graphics Proceedings ACM SIGGRAPH 1998, (pdf, downloadable eigenstructures).
  • Antony Pugh, Polyhedra: a visual approach, 1976, Chapter 6. The Geodesic Polyhedra of R. Buckminster Fuller and Related Polyhedra
Stub icon

This computing article is a stub. You can help Wikipedia by expanding it.

Retrieved from "https://en.wikipedia.org/w/index.php?title=Loop_subdivision_surface&oldid=818849458"