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Positive Approximation for Positive Scattered Data

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Abstract:

The curve and surface fitting problem is very important in CAD and CAGD. However, it is important to construct a suitable function to interpolate or approximate which satisfies the underlying constraints since we have some additional information that is confined to interpolation or approximation. In this paper, we discuss the positive approximation for positive scattered data of any dimensionality by using radial basis functions. The approach is presented to compute positive approximation by solving a quadratic optimization problem. Numerical experiments are provided to illustrate the proposed algorithm is flexible.

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Periodical:

Applied Mechanics and Materials (Volumes 50-51)

Pages:

683-687

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.50-51.683

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Cite this paper

Online since:

February 2011

Authors:

Xiao Lei Zhang, Jin Ming Wu

Keywords:

CSRBF, Gaussian Function, Positive Approximation, Positive Scattered Data

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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