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Article Information:
An Optimized Method for PDEs-Based Geometric Modeling and Reconstruction
Chuanjun Wang, Xuefeng Bai, Liyang Yu, Li Li and Xiamu Niu
Corresponding Author: Xiamu Niu
Submitted: December 30, 2011
Accepted: January 25, 2012
Published: September 15, 2012 |
Abstract:
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This study presents an optimized method for efficient geometric modeling and reconstruction using
Partial Differential Equations (PDEs). Based on the identification between the analytic solution of Bloor Wilson
PDE and the Fourier series, we transform the problem of model selection for PDEs-based geometric modeling
into the problem of significant frequencies selection from Fourier series. With the significance analysis of the
Fourier series, a model selection and an iterative surface fitting algorithm are applied to address the problem
of overfitting and underfitting in the PDEs-based geometric modeling and reconstruction. Simulations are
conducted on both the computer generated geometric surface and the laser scanned 3D face data. Experiment
results show the merits of the proposed method.
Key words: Geometric modeling, model selection, partial differential equations, surface reconstruction, , ,
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Cite this Reference:
Chuanjun Wang, Xuefeng Bai, Liyang Yu, Li Li and Xiamu Niu, . An Optimized Method for PDEs-Based Geometric Modeling and Reconstruction. Research Journal of Applied Sciences, Engineering and Technology, (18): 3260-3266.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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