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Abstract
In this work, we made two major contributions: proposing a mathematical model for deblurring digital images subject to multiple types of noise, and proposing a new filter, called the CC-Filter (Convex Combination Filter). Our proposed model, equipped with this CC-Filter, is best suited to denoise this type of disturbance in digital images. Firstly, we provide the existence and uniqueness of the solution for the proposed model. Secondly, we elaborate on the associated discretized model for numerical simulation processes. Then, we use image quality metrics such as SSIM and PSNRfor evaluating the fidelity of the reconstructed image. Finally, we present numerical results to illustrate the proposed model’s effectiveness for denoising mixed noise, typically of Cauchy-Poisson type.
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