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

Authors:
Minmin Shen;Ping Xue;Ci Wang
Affiliations:
School of Electrical& Electronic Engineering, Nanyang Technological University, Singapore 639798;School of Electrical& Electronic Engineering, Nanyang Technological University, Singapore 639798;School of Electrical& Electronic Engineering, Nanyang Technological University, Singapore 639798
Venue:
PCM '08 Proceedings of the 9th Pacific Rim Conference on Multimedia: Advances in Multimedia Information Processing
Year:
2008

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Abstract

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.