Direct method-green's theory: From PDE to BIE in the geometric transformation

In this research, we apply the Green's theory for converting the partial differential equation to the boundary integral equation for geometric transformation. Green's theory is designed specifically for integral equation. It is efficient in detecting the singularity point to the geometric...

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Bibliographic Details
Main Authors: Li-Na Yang, Tao-Shen Li, Yuan Yan Tang, Jia Xu, Jian-Jia Pan, Hui-Wu Luo, Xian-Wei Zheng
Format: Conference Proceeding
Language:English
Subjects:
Boundary conditions
Geometric Transformation
Green's Theory
Image restoration
Integral Equation
Integral equations
Mathematical model
Partial Differential Equation
Partial differential equations
Pattern recognition
Wavelet analysis
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Summary:In this research, we apply the Green's theory for converting the partial differential equation to the boundary integral equation for geometric transformation. Green's theory is designed specifically for integral equation. It is efficient in detecting the singularity point to the geometric transformation that has been verified. Experimental results show that the Green's theory has good performance.
ISSN:2158-5709
DOI:10.1109/ICWAPR.2016.7731636