1 January 2004 Optimal regularized image restoration algorithm based on backward diffusion equation
Author Affiliations +
Optical Engineering, 43(1), (2004). doi:10.1117/1.1630601
Based on the interpretation of the restoration process as a backward diffusion process, an optimal filtering in terms of the spectral characteristics of an image is proposed. The restored image is given as the solution of the optimal backward diffusion equation (BDE). Several aspects of applying the backward diffusion on the blurred image are given. The ill-posedness of the backward diffusion is subdued by regularizing the speed at which the high-frequency components should be recovered by the use of a decreasing function. In manipulating the recovery speed, the spectral characteristics of an image are taken into account. The proposed scheme uses an exponentially decreasing speed function on the recovery of high-frequency components. The use of the decreasing function makes it possible to include more significant low-frequency components without failing the system, and thus yields results of better quality than the constant bounded scheme.
Suk-Ho Lee, Moon Gi Kang, "Optimal regularized image restoration algorithm based on backward diffusion equation," Optical Engineering 43(1), (1 January 2004). https://doi.org/10.1117/1.1630601


Nonlinear detail enhancement of error-diffused images
Proceedings of SPIE (May 01 1994)
Adaptive iterative approach for image restoration
Proceedings of SPIE (September 21 1994)
Filter considerations in color correction
Proceedings of SPIE (May 19 1992)

Back to Top