Workshop on Environmental Health and Air Pollution

Research Article

Exploring New Options for Data Interpolation with Radial Basis Functions

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  • @INPROCEEDINGS{10.4108/eai.21-6-2018.2276666,
        author={Reinhard Piltner},
        title={Exploring New Options for Data Interpolation with Radial Basis Functions},
        proceedings={Workshop on Environmental Health and Air Pollution},
        publisher={EAI},
        proceedings_a={IWEHAP},
        year={2018},
        month={9},
        keywords={data interpolation trefftz method radial basis functions},
        doi={10.4108/eai.21-6-2018.2276666}
    }
    
  • Reinhard Piltner
    Year: 2018
    Exploring New Options for Data Interpolation with Radial Basis Functions
    IWEHAP
    EAI
    DOI: 10.4108/eai.21-6-2018.2276666
Reinhard Piltner,*
    *Contact email: rpiltner@georgiasouthern.edu

    Abstract

    In many disciplines there is a need for efficient interpolation of irregular spaced data. For unsampled locations values have to be computed from the available data. Usually we are interested in smooth interpolations, and artificial oscillations 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.