The Influence of Regularization Parameter on Error Bound in Super-Resolution Reconstruction

Regularization method is widely used to address the ill-conditioned problem of super-resolution (SR) reconstruction to improve its performance. The tradeoff between the fidelity of the data (due to small values of regularization parameter) and the smoothness of the SR result necessitates the choice of the regularization parameter to obtain the optimal solution. In this paper, the objective relative error is analyzed to explore the influence of the regularization parameter on SR reconstruction performance. With the optimal regularization parameter, we derive a relative error bound. The analysis is verified by experiment results.

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