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Volume 25, Issue 1
Approximate Implicitization Based on RBF Networks and MQ Quasi-Interpolation

Renhong Wang & Jinming Wu

J. Comp. Math., 25 (2007), pp. 97-103.

Published online: 2007-02

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  • Abstract

In this paper, we propose a new approach to solve the approximate implicitization problem based on RBF networks and MQ quasi-interpolation. This approach possesses the advantages of shape preserving, better smoothness, good approximation behavior and relatively less data etc. Several numerical examples are provided to demonstrate the effectiveness and flexibility of the proposed method.

  • Keywords

RBF networks, MQ quasi-interpolation, Approximate implicitization, Rational curves.

  • AMS Subject Headings

41A05, 65D17, 92B20.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-25-97, author = {Renhong Wang and Jinming Wu}, title = {Approximate Implicitization Based on RBF Networks and MQ Quasi-Interpolation}, journal = {Journal of Computational Mathematics}, year = {2007}, volume = {25}, number = {1}, pages = {97--103}, abstract = {

In this paper, we propose a new approach to solve the approximate implicitization problem based on RBF networks and MQ quasi-interpolation. This approach possesses the advantages of shape preserving, better smoothness, good approximation behavior and relatively less data etc. Several numerical examples are provided to demonstrate the effectiveness and flexibility of the proposed method.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8676.html} }
TY - JOUR T1 - Approximate Implicitization Based on RBF Networks and MQ Quasi-Interpolation AU - Renhong Wang & Jinming Wu JO - Journal of Computational Mathematics VL - 1 SP - 97 EP - 103 PY - 2007 DA - 2007/02 SN - 25 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8676.html KW - RBF networks, MQ quasi-interpolation, Approximate implicitization, Rational curves. AB -

In this paper, we propose a new approach to solve the approximate implicitization problem based on RBF networks and MQ quasi-interpolation. This approach possesses the advantages of shape preserving, better smoothness, good approximation behavior and relatively less data etc. Several numerical examples are provided to demonstrate the effectiveness and flexibility of the proposed method.

Renhong Wang and Jinming Wu. (2007). Approximate Implicitization Based on RBF Networks and MQ Quasi-Interpolation. Journal of Computational Mathematics. 25 (1). 97-103. doi:
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