caa a22 4500 467939322 CHVBK 20180406153007.0 cr unu---uuuuu 170328e20061101xx s 000 0 eng 10.1007/s10444-004-4149-6 doi (NATIONALLICENCE)springer-10.1007/s10444-004-4149-6 Zheludev Valery School of Computer Science, Tel Aviv University, Israel aut Interpolatory subdivision schemes with infinite masks originated from splines [Elektronische Daten] [Valery Zheludev] A generic technique for the construction of diversity of interpolatory subdivision schemes on the base of polynomial and discrete splines is presented in the paper. The devised schemes have rational symbols and infinite masks but they are competitive (regularity, speed of convergence, computational complexity) with the schemes that have finite masks. We prove exponential decay of basic limit functions of the schemes with rational symbols and establish conditions, which guaranty the convergence of such schemes on initial data of power growth. Springer, 2006 subdivision nationallicence spline nationallicence interpolation nationallicence recursive filtering nationallicence Advances in Computational Mathematics Kluwer Academic Publishers 25/4(2006-11-01), 475-506 1019-7168 25:4<475 2006 25 10444 https://doi.org/10.1007/s10444-004-4149-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10444-004-4149-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Zheludev Valery School of Computer Science, Tel Aviv University, Israel aut NATIONALLICENCE 773 0- Advances in Computational Mathematics Kluwer Academic Publishers 25/4(2006-11-01), 475-506 1019-7168 25:4<475 2006 25 10444 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer