Subdivision algorithms for the generation of box spline surfaces

Authors:
Wolfgang Dahmen;Charles A. Micchelli
Affiliations:
Universitaet Bielefeld, D-4800 Bielefeld, F.R. Germany;IBM Thomas J. Watson Research Center, Yorktown Heights, NY 10598, U.S.A.
Venue:
Computer Aided Geometric Design
Year:
1984

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Abstract

This paper proposes a general approach to subdivision algorithms used in interactive computer aided design for splines which are linear combinations of translates of any box splines. We show how these algorithms can be used for efficient generation of the corresponding spline surfaces. Our results extend several known special cases.