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Abstract: Introduction Subdivision schemes are recursive methods for the generation of smooth functions from discrete data. By these methods at each recursion step, new discrete values on a finer grid are computed by weighted sums of the already existing discrete values. In the limit of the recursive process, data is defined on a dense set of points. Considering this data as function values, under certain conditions, a limit continuous function is defined by this process. The theory of subdivision... (Update)
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BibTeX entry: (Update)
E. Dyn, N. Farhi. Spline subdivision schemes for convex compact sets. Journal of Computational and Applied Mathematics, 119:133-144, 2000. http://citeseer.ist.psu.edu/dyn00spline.html More
@misc{ dyn00spline,
author = "E. Dyn and N. Farhi",
title = "Spline subdivision schemes for convex compact sets",
text = "E. Dyn, N. Farhi. Spline subdivision schemes for convex compact sets. Journal
of Computational and Applied Mathematics, 119:133-144, 2000.",
year = "2000",
url = "citeseer.ist.psu.edu/dyn00spline.html" }
Citations (may not include all citations):640 Princeton University Press (context) - Rockafellar, Analysis - 1970
205 Stationary Subdivision (context) - Cavaretta, Dahmen et al. - 1991 ACM
160 A Practical Guide to Splines (context) - deBoor - 1978
72 Subdivision schemes in Computer-Aided Geometric Design (context) - Dyn - 1992
49 An algorithm for high speed curve generation (context) - Chaikin - 1974
11 Integrals of set-valued functions (context) - Aumann - 1965
4 An embedding theorem for spaces of convex sets (context) - Radstrom - 1952
2 Sur la fonction d'appui des ensembles convexes dans un espac.. (context) - Hormander - 1954
1 301--316 (context) - Vitale, convex et al. - 1979
1 and a new Banach Lattice (context) - Margolis, Convex - 1990
1 Directed Sets and Differences of Convex Compact Sets (context) - Baier, Farkhi - 1999
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