Discrete box splines and refinement algorithms

Authors:
Elaine Cohen;Tom Lyche;Richard Riesenfeld
Affiliations:
University of Utah, Salt Lake City, UT 84112, U.S.A.;University of Oslo, Oslo 3, Norway;University of Utah, Salt Lake City, UT 84112, U.S.A.
Venue:
Computer Aided Geometric Design
Year:
1984

Citing 1
Cited 5

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Abstract

We introduce discrete box splines and use them to give a general knotline refinement algorithm for surfaces which are linear combinations of translates of a box spline. The Lane-Riesenfeld algorithm is obtained as a special case. Since this represents a new algorithm for refining certain nontensor product schemes, it is hoped that this will lead to further applications in computer aided geometric design.