Trimming for Subdivision Surfaces
Trimming is an important primitive operation is geometric modeling.
It is also the root of many numerical and topological problems in modern
NURBS based CAGD systems. In the paper we introduce a new method for
trimming subdivision surfaces. It is based on the use of combined
subdivision schemes to guarantee exact interpolation of trim curves.
The latter ensures, for example, that if two surfaces share a trim curve,
they will meet exactly at the trim curve. In contrast to traditional approaches
to trimming (e.g., for NURBS) we construct a new control mesh with each trim
operation. This causes a perturbation of the surface near the trim region,
which we control through the use of multiresolution details.
These are computed rapidly and at low cost with the help of a novel set of
quasi-interpolation operators. We demonstrate our algorithm with
a number of examples.
Size of pdf file: 4.43 Mb
Can't view PDF files? You need to download
Acrobat Reader (it's free).
author = "N. Litke and A. Levin and P. Schroeder",
title = "Trimming for Subdivision Surfaces",
journal = "Computer Aided Geometric Design",
pages = "463-481",
year = 2001,
volume = "18(5)")