Integration of Moving Least Squares Method and Multilevel B-Spline Method for Scattered Data Approximation

Shi Ju Yan; Bin Ge

doi:10.4028/www.scientific.net/AMR.291-294.2245

Paper Titles

Research on the Method of Class_A Surface Reconstruction in Automotive Body External Panel Design
p.2229

Web-Aided Design for Dimensioning Power Cables
p.2233

Simulation and Analysis of Frame Structure of Military Transport Truck
p.2237

A Research of Parting Design Frame of Telecontrolled Boat Hull by UG on Case-Based Reasoning
p.2241

Integration of Moving Least Squares Method and Multilevel B-Spline Method for Scattered Data Approximation
p.2245

Automatic Generation of the CAE Parametric Model from the CATIA Model for an Aircraft Hydraulic Tube Structure
p.2250

Parametric Design of Roller Oscillating Follower Disc Cam on UG
p.2256

The Geometric Modeling of Pieces in Virtual Milling Simulation
p.2262

Study on Mechanism of Hammer Bit and Rock Interaction in Geophysical Prospecting Percussion Drilling
p.2266

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 291-294Integration of Moving Least Squares Method and...

Integration of Moving Least Squares Method and Multilevel B-Spline Method for Scattered Data Approximation

Abstract:

For scattered data approximation with multilevel B-spline(MBS) method, accuracy could be enhanced by densifying control lattice. Nevertheless, when control lattice density reaches to some extent, approximation accuracy could not be enhanced further. A strategy based on integration of moving least squares(MLS) and multilevel B-spline(MBS) is presented. Experimental results demonstrate that the presented strategy has higher approximation accuracy.

You might also be interested in these eBooks

Materials Processing Technology, AEMT2011

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 291-294)

Pages:

2245-2249

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.291-294.2245

Citation:

Cite this paper

Online since:

July 2011

Authors:

Shi Ju Yan, Bin Ge

Keywords:

Moving Least Squares, Multilevel B-Spline, Scattered Data Approximation

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] J.P. Boyd, Journal of Computational and Applied Mathematics 234(5)(2010) 1435-1441.

Google Scholar

[2] R. Franke, G.M. Nielson, Scattered Data Interpolation and Applications: A Tutorial and Survey, Geometric Modelling: Methods and Their Application, H. Hagen and D. Roller, eds., Berlin: Springer-Verlag, 1991 pp.131-160.

DOI: 10.1007/978-3-642-76404-2_6

Google Scholar

[3] T. Most, C. Bucher, Engineering Analysis with Boundary Elements 32(6)(2008)461-470.

Google Scholar

[4] Y. Lipman, Journal of Approximation Theory 161(1)(2009)371-384.

Google Scholar

[5] A. Abbadi, D. Barrera, M.J. Ibáñez, D. Sbibih, Journal of Computational and Applied Mathematics 234(4)( 2010) 1324-1337.

DOI: 10.1016/j.cam.2010.01.017

Google Scholar

[6] S. Lee, G. Wolberg, S.Y. Shin, IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS 3(3)(1997) 228-244.

Google Scholar

[7] Y. Guo, L. B. Harding, A. F. Wagner, M. Minkoff, J. Chem. Phys. 126 (10)(2007) 534-546.

Google Scholar

[8] O. Davydov, R. Morandi, A. Sestini, Computer Aided Geometric Design 23(9) (2006) 703-721.

DOI: 10.1016/j.cagd.2006.04.001

Google Scholar