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词条 Loop subdivision surface
释义

  1. See also

  2. References

  3. External links

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|date=January 2018}}

See also

  • Geodesic polyhedron

References

  • Charles Loop: Smooth Subdivision Surfaces Based on Triangles, M.S. Mathematics thesis, University of Utah, 1987 ([https://www.microsoft.com/en-us/research/wp-content/uploads/2016/02/thesis-10.pdf 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

External links

  • Homepage of Charles Loop.
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2 : 3D computer graphics|Multivariate interpolation

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