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

机译：直接法格林理论：从PDE到BIE的几何变换

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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.

机译：在这项研究中，我们应用格林理论将偏微分方程转换为边界积分方程以进行几何变换。格林的理论是专门为积分方程设计的。它在检测奇异点到已验证的几何变换方面非常有效。实验结果表明，格林理论具有良好的性能。

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《International Conference on Wavelet Analysis and Pattern Recognition》|2016年|157-161|共5页
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作者
Li-Na Yang; Tao-Shen Li; Yuan Yan Tang; Jia Xu; Jian-Jia Pan; Hui-Wu Luo; Xian-Wei Zheng;
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Mathematical model; Integral equations; Pattern recognition; Image restoration; Wavelet analysis; Partial differential equations; Boundary conditions;

机译：数学模型积分方程模式识别图像复原小波分析偏微分方程边界条件;

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1. Closed Form Solution for Heston PDE By Geometrical Transformations [J] . Mario Dell’Era Asian Economic and Financial Review . 2014,第6期

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2. Learning diffusion on global graph: A PDE-directed approach for feature detection on geometric shapes [J] . Li Nannan, Wang Shengfa, Liu Risheng, Computer Aided Geometric Design . 2019,第JUNa期

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3. Learning diffusion on global graph: A PDE-directed approach for feature detection on geometric shapes [J] . Li Nannan, Wang Shengfa, Liu Risheng, Computer Aided Geometric Design . 2019,第Juna期

机译：在全局图中学习扩散：几何形状特征检测的PDE定向方法
4. Direct method-green's theory: From PDE to BIE in the geometric transformation [C] . Li-Na Yang, Tao-Shen Li, Yuan Yan Tang, International Conference on Wavelet Analysis and Pattern Recognition . 2016

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5. THE GEOMETRIC THEORY OF NON-COMPACT TRANSFORMATION GROUPS [D] . SCHWARTZ, ARTHUR J. -1

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6. A Theory for *-Operators Analogous to the Theory of Reducibility for Self-Adjoint Transformations in Hilbert Space [O] . F. J. Murray 1933

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7. Weyl frames and canonical transformations in geometrical scalar-tensor theories of gravity [O] . Barreto, A. B., Pucheu, M. L., Romero, C. 2017

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

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