Exploring new options for data interpolation with radial basis functions

Reinhard Piltner

doi:10.4108/eai.21-6-2018.2276666

Exploring new options for data interpolation with radial basis functions

Reinhard Piltner

Mathematical Sciences

Georgia Southern University

Research output: Contribution to book or proceeding › Conference article › peer-review

Abstract

In many disciplines there is a need for efficient in terpolation of ir regular spaced data. For unsampled locations values have to be computed from the available data. Usually we are interested in smooth interpolations, and artificial o scillations should be avoided. For large data sets fully populated matrices are undesirable. The use of compactly supported basis functions appears to be attractive. In this paper radial basis functions satisfying the 2D bi-harmonic equation are used. Accurate interpolation could be achieved in the numerical test examples.

Original language	English
Title of host publication	MOBIMEDIA 2018 - 11th EAI International Conference on Mobile Multimedia Communications
Editors	Rawat B. Danda, Wenjia Li, Shaoen Wu, Ju Wu, Qing Yang, Guozhu Liu
Publisher	ICST
ISBN (Electronic)	9781631901645
DOIs	https://doi.org/10.4108/eai.21-6-2018.2276666
State	Published - Sep 12 2018
Event	EAI International Conference on Mobile Multimedia Communications - Qingdao, China Duration: Jun 21 2018 → Jun 23 2018 Conference number: 11 https://dl.acm.org/doi/proceedings/10.5555/3290227

Publication series

Name	International Conference on Mobile Multimedia Communications (MobiMedia)
Volume	2018-June
ISSN (Electronic)	2413-094X

Conference

Conference	EAI International Conference on Mobile Multimedia Communications
Abbreviated title	EAI MOBIMEDIA
Country/Territory	China
City	Qingdao
Period	06/21/18 → 06/23/18
Internet address	https://dl.acm.org/doi/proceedings/10.5555/3290227

Scopus Subject Areas

Computer Networks and Communications
Computer Science Applications
Emergency Medicine
Media Technology
Modeling and Simulation

Keywords

Data interpolation
Radial basis functions
Trefftz method

Access to Document

10.4108/eai.21-6-2018.2276666

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Piltner, R. (2018). Exploring new options for data interpolation with radial basis functions. In R. B. Danda, W. Li, S. Wu, J. Wu, Q. Yang, & G. Liu (Eds.), MOBIMEDIA 2018 - 11th EAI International Conference on Mobile Multimedia Communications (International Conference on Mobile Multimedia Communications (MobiMedia); Vol. 2018-June). ICST. https://doi.org/10.4108/eai.21-6-2018.2276666

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title = "Exploring new options for data interpolation with radial basis functions",

abstract = "In many disciplines there is a need for efficient in terpolation of ir regular spaced data. For unsampled locations values have to be computed from the available data. Usually we are interested in smooth interpolations, and artificial o scillations should be avoided. For large data sets fully populated matrices are undesirable. The use of compactly supported basis functions appears to be attractive. In this paper radial basis functions satisfying the 2D bi-harmonic equation are used. Accurate interpolation could be achieved in the numerical test examples.",

keywords = "Data interpolation, Radial basis functions, Trefftz method",

author = "Reinhard Piltner",

note = "Publisher Copyright: {\textcopyright} 2018 ACM.; EAI International Conference on Mobile Multimedia Communications ; Conference date: 21-06-2018 Through 23-06-2018",

year = "2018",

month = sep,

day = "12",

doi = "10.4108/eai.21-6-2018.2276666",

language = "English",

series = "International Conference on Mobile Multimedia Communications (MobiMedia)",

publisher = "ICST",

editor = "Danda, {Rawat B.} and Wenjia Li and Shaoen Wu and Ju Wu and Qing Yang and Guozhu Liu",

booktitle = "MOBIMEDIA 2018 - 11th EAI International Conference on Mobile Multimedia Communications",

url = "https://dl.acm.org/doi/proceedings/10.5555/3290227",

}

Piltner, R 2018, Exploring new options for data interpolation with radial basis functions. in RB Danda, W Li, S Wu, J Wu, Q Yang & G Liu (eds), MOBIMEDIA 2018 - 11th EAI International Conference on Mobile Multimedia Communications. International Conference on Mobile Multimedia Communications (MobiMedia), vol. 2018-June, ICST, EAI International Conference on Mobile Multimedia Communications, Qingdao, China, 06/21/18. https://doi.org/10.4108/eai.21-6-2018.2276666

Exploring new options for data interpolation with radial basis functions. / Piltner, Reinhard.
MOBIMEDIA 2018 - 11th EAI International Conference on Mobile Multimedia Communications. ed. / Rawat B. Danda; Wenjia Li; Shaoen Wu; Ju Wu; Qing Yang; Guozhu Liu. ICST, 2018. (International Conference on Mobile Multimedia Communications (MobiMedia); Vol. 2018-June).

Research output: Contribution to book or proceeding › Conference article › peer-review

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T1 - Exploring new options for data interpolation with radial basis functions

AU - Piltner, Reinhard

N1 - Conference code: 11

PY - 2018/9/12

Y1 - 2018/9/12

N2 - In many disciplines there is a need for efficient in terpolation of ir regular spaced data. For unsampled locations values have to be computed from the available data. Usually we are interested in smooth interpolations, and artificial o scillations should be avoided. For large data sets fully populated matrices are undesirable. The use of compactly supported basis functions appears to be attractive. In this paper radial basis functions satisfying the 2D bi-harmonic equation are used. Accurate interpolation could be achieved in the numerical test examples.

AB - In many disciplines there is a need for efficient in terpolation of ir regular spaced data. For unsampled locations values have to be computed from the available data. Usually we are interested in smooth interpolations, and artificial o scillations should be avoided. For large data sets fully populated matrices are undesirable. The use of compactly supported basis functions appears to be attractive. In this paper radial basis functions satisfying the 2D bi-harmonic equation are used. Accurate interpolation could be achieved in the numerical test examples.

KW - Data interpolation

KW - Radial basis functions

KW - Trefftz method

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DO - 10.4108/eai.21-6-2018.2276666

M3 - Conference article

AN - SCOPUS:85061542259

T3 - International Conference on Mobile Multimedia Communications (MobiMedia)

BT - MOBIMEDIA 2018 - 11th EAI International Conference on Mobile Multimedia Communications

A2 - Danda, Rawat B.

A2 - Li, Wenjia

A2 - Wu, Shaoen

A2 - Wu, Ju

A2 - Yang, Qing

A2 - Liu, Guozhu

PB - ICST

T2 - EAI International Conference on Mobile Multimedia Communications

Y2 - 21 June 2018 through 23 June 2018

ER -

Exploring new options for data interpolation with radial basis functions

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