Construction of adapted subdivision schemes for bounded intervals based on radial basis function interpolation

Jungho Yoon

doi:10.1007/BF02832303

Construction of adapted subdivision schemes for bounded intervals based on radial basis function interpolation

Jungho Yoon

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We study stationary subdivision schemes based on radial basis function interpolation. Each scheme has a tension parameter, say λ, which actually belongs to the radial basis function. In particular, adapted subdivision rules on bounded intervals are developed.

Original language	English
Pages (from-to)	95-104
Number of pages	10
Journal	Journal of Applied Mathematics and Computing
Volume	24
Issue number	1-2
DOIs	https://doi.org/10.1007/BF02832303
State	Published - May 2007

Bibliographical note

Funding Information:
Re e dv Nobmv 9, 2006. Revised D beer 5, 2006. This ow k sw Supported yb the Korea Re e h Foudion tGran funded yb the Korean G - ternmen (MOEHRD, Basic Re e h Promotion Fud) (KRF-2005-015-C00015). © c 2007 Korean Sociye for Computational & Applied Mathematics and Korean SIGCAM 95

Keywords

Interpolation
Radial basis function
Stationary subdivision

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10.1007/BF02832303

Cite this

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title = "Construction of adapted subdivision schemes for bounded intervals based on radial basis function interpolation",

abstract = "We study stationary subdivision schemes based on radial basis function interpolation. Each scheme has a tension parameter, say λ, which actually belongs to the radial basis function. In particular, adapted subdivision rules on bounded intervals are developed.",

keywords = "Interpolation, Radial basis function, Stationary subdivision",

author = "Jungho Yoon",

note = "Funding Information: Re e dv Nobmv 9, 2006. Revised D beer 5, 2006. This ow k sw Supported yb the Korea Re e h Foudion tGran funded yb the Korean G - ternmen (MOEHRD, Basic Re e h Promotion Fud) (KRF-2005-015-C00015). {\textcopyright} c 2007 Korean Sociye for Computational & Applied Mathematics and Korean SIGCAM 95",

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doi = "10.1007/BF02832303",

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AU - Yoon, Jungho

N1 - Funding Information: Re e dv Nobmv 9, 2006. Revised D beer 5, 2006. This ow k sw Supported yb the Korea Re e h Foudion tGran funded yb the Korean G - ternmen (MOEHRD, Basic Re e h Promotion Fud) (KRF-2005-015-C00015). © c 2007 Korean Sociye for Computational & Applied Mathematics and Korean SIGCAM 95

PY - 2007/5

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N2 - We study stationary subdivision schemes based on radial basis function interpolation. Each scheme has a tension parameter, say λ, which actually belongs to the radial basis function. In particular, adapted subdivision rules on bounded intervals are developed.

AB - We study stationary subdivision schemes based on radial basis function interpolation. Each scheme has a tension parameter, say λ, which actually belongs to the radial basis function. In particular, adapted subdivision rules on bounded intervals are developed.

KW - Interpolation

KW - Radial basis function

KW - Stationary subdivision

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U2 - 10.1007/BF02832303

DO - 10.1007/BF02832303

M3 - Article

AN - SCOPUS:34249809166

SN - 1598-5865

VL - 24

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EP - 104

JO - Journal of Applied Mathematics and Computing

JF - Journal of Applied Mathematics and Computing

IS - 1-2

ER -

Construction of adapted subdivision schemes for bounded intervals based on radial basis function interpolation

Abstract

Bibliographical note

Keywords

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