Implicit Progressive-Iterative                         Algorithm of Curves and Surfaces with Compactly Supported Radial Basis                         Functions

Haibo Wang; Tao Liu; Shengjun Liu; Wenyan Wei; Xinru Liu; Pingbo Liu; Yanyu Bai; Yue Chen

doi:10.3724/sp.j.1089.2021.18807

Implicit Progressive-Iterative Algorithm of Curves and Surfaces with Compactly Supported Radial Basis Functions

Journal of Computer-Aided Design & Computer Graphics ◽

10.3724/sp.j.1089.2021.18807 ◽

2021 ◽

Vol 33 (11) ◽

pp. 1755-1764

Author(s):

Haibo Wang ◽

Tao Liu ◽

Shengjun Liu ◽

Wenyan Wei ◽

Xinru Liu ◽

...

Keyword(s):

Iterative Algorithm ◽

Radial Basis Functions ◽

Basis Functions ◽

Compactly Supported ◽

Curves And Surfaces ◽

Radial Basis

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A meshless scaling iterative algorithm based on compactly supported radial basis functions for the numerical solution of Lane-Emden-Fowler equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20635 ◽

2010 ◽

Vol 28 (2) ◽

pp. 554-572 ◽

Cited By ~ 3

Author(s):

Quan Shen

Keyword(s):

Numerical Solution ◽

Iterative Algorithm ◽

Radial Basis Functions ◽

Basis Functions ◽

Compactly Supported ◽

Radial Basis ◽

Fowler Equation

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A well-conditioned and efficient Levin method for highly oscillatory integrals with compactly supported radial basis functions

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2021.06.012 ◽

2021 ◽

Vol 131 ◽

pp. 51-63

Author(s):

Suliman Khan ◽

Sakhi Zaman ◽

Muhammad Arshad ◽

Hongchao Kang ◽

Hasrat Hussain Shah ◽

...

Keyword(s):

Radial Basis Functions ◽

Basis Functions ◽

Oscillatory Integrals ◽

Compactly Supported ◽

Radial Basis ◽

Highly Oscillatory ◽

Highly Oscillatory Integrals

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A two-level approach to implicit surface modeling with compactly supported radial basis functions

Engineering With Computers ◽

10.1007/s00366-010-0199-1 ◽

2010 ◽

Vol 27 (3) ◽

pp. 299-307 ◽

Cited By ~ 25

Author(s):

Rongjiang Pan ◽

Vaclav Skala

Keyword(s):

Radial Basis Functions ◽

Surface Modeling ◽

Basis Functions ◽

Implicit Surface ◽

Compactly Supported ◽

Radial Basis

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Compactly Supported Radial Basis Functions

Meshfree Approximation Methods with Matlab - Interdisciplinary Mathematical Sciences ◽

10.1142/9789812708632_0011 ◽

2007 ◽

pp. 85-94

Keyword(s):

Radial Basis Functions ◽

Basis Functions ◽

Compactly Supported ◽

Radial Basis

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Compactly supported radial basis functions for solving certain high order partial differential equations in 3D

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2014.11.012 ◽

2015 ◽

Vol 55 ◽

pp. 2-9 ◽

Cited By ~ 5

Author(s):

Wen Li ◽

Ming Li ◽

C.S. Chen ◽

Xiaofeng Liu

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Radial Basis Functions ◽

High Order ◽

Basis Functions ◽

Partial Differential ◽

Compactly Supported ◽

Radial Basis

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3D scattered data approximation with adaptive compactly supported radial basis functions

Proceedings Shape Modeling Applications, 2004. ◽

10.1109/smi.2004.1314491 ◽

2004 ◽

Cited By ~ 25

Author(s):

Y. Ohtake ◽

A. Belyaev ◽

H.-P. Seidel

Keyword(s):

Radial Basis Functions ◽

Scattered Data ◽

Basis Functions ◽

Scattered Data Approximation ◽

Data Approximation ◽

Compactly Supported ◽

Radial Basis

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Surface Reconstruction Based on Compactly Supported Radial Basis Functions

Geometric Modeling: Techniques, Applications, Systems and Tools ◽

10.1007/978-94-017-1689-5_12 ◽

2004 ◽

pp. 217-231 ◽

Cited By ~ 4

Author(s):

Nikita Kojekine ◽

Vladimir Savchenko ◽

Ichiro Hagiwara

Keyword(s):

Radial Basis Functions ◽

Surface Reconstruction ◽

Basis Functions ◽

Compactly Supported ◽

Radial Basis

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Optimization of Space Color Mapping Using Compactly Supported Radial Basis Functions for Color Reproduction

AsiaSim 2012 - Communications in Computer and Information Science ◽

10.1007/978-3-642-34384-1_45 ◽

2012 ◽

pp. 381-388

Author(s):

Ladys Rodriguez ◽

Luis Diago ◽

Ichiro Hagiwara

Keyword(s):

Radial Basis Functions ◽

Basis Functions ◽

Color Reproduction ◽

Color Mapping ◽

Compactly Supported ◽

Radial Basis

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Multiscale methods with compactly supported radial basis functions for the Stokes problem on bounded domains

Advances in Computational Mathematics ◽

10.1007/s10444-016-9458-z ◽

2016 ◽

Vol 42 (5) ◽

pp. 1187-1208 ◽

Cited By ~ 7

Author(s):

A. Chernih ◽

Q. T. Le Gia

Keyword(s):

Radial Basis Functions ◽

Stokes Problem ◽

Multiscale Methods ◽

Basis Functions ◽

Bounded Domains ◽

Compactly Supported ◽

Radial Basis

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Error Estimates for Interpolation by Compactly Supported Radial Basis Functions of Minimal Degree

Journal of Approximation Theory ◽

10.1006/jath.1997.3137 ◽

1998 ◽

Vol 93 (2) ◽

pp. 258-272 ◽

Cited By ~ 211

Author(s):

Holger Wendland

Keyword(s):

Error Estimates ◽

Radial Basis Functions ◽

Basis Functions ◽

Minimal Degree ◽

Compactly Supported ◽

Radial Basis

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