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Combined quadratic optimization/median filtering technique for image restoration

Conference Paper


Abstract


  • Recently, we have introduced a new iterative technique for signal and image restoration. The technique solves a bound-constrained quadratic optimization problem with preconditioning. Although this technique yields a good solution in just few iterations, the error starts increasing after it reaches a minimum. This is a common problem in iterative techniques where the first few iterations restore the low frequency components of the signal and as the number of iterations increases the algorithm attempts to restore the high frequency components, which are dominated by noise. In this article we combine the proposed new iterative technique with median filtering. Median filtering helps maintain a low error by preserving the edge information while reducing the frequency noise.

Publication Date


  • 1998

Citation


  • Bouzerdoum, A. (1998). Combined quadratic optimization/median filtering technique for image restoration. In Proceedings of the IEEE International Conference on Systems, Man and Cybernetics Vol. 5 (pp. 4447-4452).

Scopus Eid


  • 2-s2.0-0032316827

Start Page


  • 4447

End Page


  • 4452

Volume


  • 5

Abstract


  • Recently, we have introduced a new iterative technique for signal and image restoration. The technique solves a bound-constrained quadratic optimization problem with preconditioning. Although this technique yields a good solution in just few iterations, the error starts increasing after it reaches a minimum. This is a common problem in iterative techniques where the first few iterations restore the low frequency components of the signal and as the number of iterations increases the algorithm attempts to restore the high frequency components, which are dominated by noise. In this article we combine the proposed new iterative technique with median filtering. Median filtering helps maintain a low error by preserving the edge information while reducing the frequency noise.

Publication Date


  • 1998

Citation


  • Bouzerdoum, A. (1998). Combined quadratic optimization/median filtering technique for image restoration. In Proceedings of the IEEE International Conference on Systems, Man and Cybernetics Vol. 5 (pp. 4447-4452).

Scopus Eid


  • 2-s2.0-0032316827

Start Page


  • 4447

End Page


  • 4452

Volume


  • 5