13 October 2008 Gauss quadrature rule based on parameter estimation
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In this paper, we consider the estimation of the unknown parameter for the problem of reconstructing a high resolution image from multiple under-sampled, shifted, degraded frames. L-curve criterion is used to estimate regularization parameters. However, the computational of the L-curve is quiet costly for large-size problems. The paper proposes an efficient approximate technique based on Gauss quadrature rule. The technique translates some matrix computation into Gauss quadrature with singular decomposition. It can reduce the computational complexity of the L-curve.
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Kai Xie, Kai Xie, Shulin Yang, Shulin Yang, } "Gauss quadrature rule based on parameter estimation", Proc. SPIE 7129, Seventh International Symposium on Instrumentation and Control Technology: Optoelectronic Technology and Instruments, Control Theory and Automation, and Space Exploration, 71291K (13 October 2008); doi: 10.1117/12.807496; https://doi.org/10.1117/12.807496

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