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In the given text, the Bayesian based Maximum A Posterior is employed for the purpose of Image Restoration. This technique utilizes probabilistic methods to estimate and enhance the quality of images, making use of prior information and observed data. By integrating prior knowledge and the likelihood of observed image data, Bayesian based Maximum A Posterior provides a robust framework for image restoration tasks, enabling the recovery of missing or degraded image details. This approach has found widespread application in various fields such as medical imaging, computer vision, and digital photography, where the restoration of images plays a crucial role in enhancing visual quality and extracting meaningful information.