B-Spline Surface Reconstruction from Cloudy Data Using Weighted Least Square Fitting

Zi Zhi Lin; Si Hui Shu

doi:10.4028/www.scientific.net/AMM.740.629

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 740B-Spline Surface Reconstruction from Cloudy Data...

B-Spline Surface Reconstruction from Cloudy Data Using Weighted Least Square Fitting

Abstract:

In this paper, we present an algorithm for surface approximation to the measured cloudy data with four boundaries. Several key techniques about this algorithm are also described, such as base surface construction, projection and weighted least square approximation. We use weighted least square to reduce the times of iterations, because the iteration is a very expensive and error prone process. We add a positive weight to each point, and the weight-adding algorithm is introduced as well. Increasing the weight onto this point will decrease the approximation error of the point. Finally, some examples of this algorithm demonstrate its effectiveness and validity.

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Periodical:

Applied Mechanics and Materials (Volume 740)

Pages:

629-632

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.740.629

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Cite this paper

Online since:

March 2015

Authors:

Zi Zhi Lin*, Si Hui Shu

Keywords:

B-Spline Surface Reconstruction, Cloudy Data, Least Square Fitting

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