- 期刊
- OpenAccess
An Optimized Method for PDEs-Based Geometric Modeling and Reconstruction
並列摘要
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 over fitting and under fitting 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.
延伸閱讀
- Liu, A., Zahara, E., & Yang, M. T. (2012). A Modified NM-PSO Method for Parameter Estimation Problems of Models. Journal of Applied Mathematics, 2012(), 163-174-410. https://doi.org/10.1155/2012/530139
- 黃怡綸（2016）。Two-dimensional DOA Estimation for Periodically Modulated Sources〔碩士論文，逢甲大學〕。華藝線上圖書館。https://doi.org/10.6341/fcu.M0216304
- 施博仁（2016）。Implementation of a Real-Time Model-Based 3D Object Pose Estimation Method Based on Template Tracking〔碩士論文，淡江大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0002-1803201615195300
- Chu, K. W. (2015). A Modified Bi-directional Structural Topological Optimization Using Various Finite Elements [master's thesis, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2015.02089
- 林瑋哲（2014）。Instrument Contact Force Estimation Using a 3D Reconstruction Model〔碩士論文，國立交通大學〕。華藝線上圖書館。https://doi.org/10.6842/NCTU.2014.00925