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Smoothing nonlinear subdivision schemes by averaging

Published:2017-04-04 Issue:2 Volume:77 Page:361-379
ISSN:1017-1398
Container-title:Numerical Algorithms
language:en
Short-container-title:Numer Algor

Author:

Duchamp Tom,Xie Gang,Yu Thomas

Funder

Division of Mathematical Sciences

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

http://link.springer.com/article/10.1007/s11075-017-0319-8/fulltext.html

Reference10 articles.

1. Duchamp, T., Xie, G., Yu, T.: A necessary and sufficient proximity condition for smoothness equivalence of nonlinear subdivision schemes. Foundations of Computational Mathematics, pp. 1–46 (2015)

2. Duchamp, T., Xie, G., Yu, T.P.-Y.: Single basepoint subdivision schemes for manifold-valued data time-symmetry without space-symmetry. Found. Comput. Math. 13(5), 693–728 (2013)

3. Duchamp, T., Xie, G., Yu, T.P.-Y.: On a new proximition condition for manifold-valued subdivision schemes. In: Fasshauer, G.E., Schumaker, L.L. (eds.) Approximation Theory XIV: San Antonio 2013, volume 83 of Springer Proceedings in Mathematics & Statistics, pp 65–79. Springer, Cham (2014)

4. Dyn, N., Goldman, R.: Convergence and smoothness of nonlinear Lane-Riesenfeld algorithms in the functional setting. Found. Comput. Math. 11, 79–94 (2011)

5. Grohs, P.: A general proximity analysis of nonlinear subdivision schemes. SIAM J. Math. Anal. 42(2), 729–750 (2010)

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