Positive Approximation and Interpolation Using Compactly Supported Radial Basis Functions | Zendy

Jinming Wu | Zendy; Xiaolei Zhang | Zendy; Lihui Peng | Zendy

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Positive Approximation and Interpolation Using Compactly Supported Radial Basis Functions

Author(s) -

Jinming Wu,

Xiaolei Zhang,

Lihui Peng

Publication year - 2010

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2010/964528

Subject(s) - interpolation (computer graphics) , radial basis function , constraint (computer aided design) , mathematics , basis (linear algebra) , bilinear interpolation , mathematical optimization , computer science , geometry , artificial intelligence , motion (physics) , statistics , artificial neural network

We discuss the problem of constrained approximation and interpolation of scattered data by using compactly supported radial basis functions, subjected to the constraint of preserving positivity. The approaches are presented to compute positive approximation and interpolation by solving the two corresponding optimization problems. Numerical experiments are provided to illustrate that the proposed method is flexible

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