caa a22 4500 467939500 CHVBK 20180406153008.0 cr unu---uuuuu 170328e20060701xx s 000 0 eng 10.1007/s10444-004-7642-z doi (NATIONALLICENCE)springer-10.1007/s10444-004-7642-z Stationary binary subdivision schemes using radial basis function interpolation [Elektronische Daten] [Byung-Gook Lee, Yeon Lee, Jungho Yoon] A new family of interpolatory stationary subdivision schemes is introduced by using radial basis function interpolation. This work extends earlier studies on interpolatory stationary subdivision schemes in two aspects. First, it provides a wider class of interpolatory schemes; each 2L-point interpolatory scheme has the freedom of choosing a degree (say, m) of polynomial reproducing. Depending on the combination (2L,m), the proposed scheme suggests different subdivision rules. Second, the scheme turns out to be a 2L-point interpolatory scheme with a tension parameter. The conditions for convergence and smoothness are also studied. Springer, 2006 subdivision scheme nationallicence radial basis function interpolation nationallicence multiquadrics nationallicence Lee Byung-Gook Division of Internet Engineering, Dongseo University, 617-716, Busan, S. Korea aut Lee Yeon Department of Mathematics and Institute for Mathematical Sciences, Ewha W. University, 120-750, Seoul, S. Korea aut Yoon Jungho Department of Mathematics and Institute for Mathematical Sciences, Ewha W. University, 120-750, Seoul, S. Korea aut Advances in Computational Mathematics Kluwer Academic Publishers 25/1-3(2006-07-01), 57-72 1019-7168 25:1-3<57 2006 25 10444 https://doi.org/10.1007/s10444-004-7642-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10444-004-7642-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lee Byung-Gook Division of Internet Engineering, Dongseo University, 617-716, Busan, S. Korea aut NATIONALLICENCE 700 1- Lee Yeon Department of Mathematics and Institute for Mathematical Sciences, Ewha W. University, 120-750, Seoul, S. Korea aut NATIONALLICENCE 700 1- Yoon Jungho Department of Mathematics and Institute for Mathematical Sciences, Ewha W. University, 120-750, Seoul, S. Korea aut NATIONALLICENCE 773 0- Advances in Computational Mathematics Kluwer Academic Publishers 25/1-3(2006-07-01), 57-72 1019-7168 25:1-3<57 2006 25 10444 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer