Stationary binary subdivision schemes using radial basis function interpolation

Byung Gook Lee, Yeon Ju Lee, Jungho Yoon

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


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.

Original languageEnglish
Pages (from-to)57-72
Number of pages16
JournalAdvances in Computational Mathematics
Issue number1-3
StatePublished - Jul 2006

Bibliographical note

Funding Information:
★This work was done as a part of Information & Communication fundamental Technology Research Program supported by Ministry of the Information & Communication in Republic of Korea. ★★Corresponding author. Supported by the Korea Science and Engineering Foundation grant (KOSEF R06-2002-012-01001).


  • Multiquadrics
  • Radial basis function interpolation
  • Subdivision scheme


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