Image restoration method under Cauchy noise and application thereof

Abstract

The invention belongs to the technical field of image processing, and discloses an image restoration method under Cauchy noise and application thereof. The method comprises the following steps of acquiring a degraded image composed of an original image and Cauchy noise; if the size of the Cauchy noise is determined, determining the size of a proportion parameter in Cauchy distribution; determininga corresponding data fidelity item, and establishing a minimization regularization model under Cauchy noise by using a mixed regularization scheme; proposing a rapid algorithm under the framework ofan alternating direction multiplier method to solve the model, such as a stable solution of the model to obtain a restored image. Blurring and Cauchy noise in images can be effectively removed, the defects under single regularization can be overcome through the new mixed regularization scheme, the step effect is reduced or avoided, the smoothness and detail texture features of the images are kept,and the time for restoring the images can be greatly shortened. Through a numerical simulation experiment, the invention has the advantages in the aspects of peak signal-to-noise ratio, structural similarity and running time, and a good restoration effect can also be seen in the aspect of visual sense.

Description

technical field [0001] The invention belongs to the technical field of image processing, and in particular relates to an image restoration method under Cauchy noise and its application. Background technique [0002] At present: in the digital age, images are an important aspect for people to understand the objective world, and high-quality images can provide people with more useful information. However, due to the interference and influence of objective conditions such as imaging equipment and the living environment, the obtained images are often degraded and degraded, accompanied by certain noise and blur. In order to further obtain high-quality images, on the one hand, people improve the sensor level of imaging equipment from the hardware level, and on the other hand, they digitize the degraded images from the software level. In recent years, image restoration technology has been widely used and deeply researched in the fields of remote sensing satellite imaging, medical ...

AI Technical Summary

Problems solved by technology

For the parameters in the model, adaptive adjustment can be applied to a wider range of degraded images, but this requires the model to extensively learn the texture structure of natural images, which greatly increases the difficulty and computational complexity of the model solution.

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