Abstract
Noise in images can be characterized as a random variation of brightness information. It can be a by-product of image capture that conceals the desired information. All digital images are subject to different types of noise. Noise is the result of errors during acquisition process which affects the original pixel values in the image. Noise can be introduced in several ways depending on how the image is created. This paper suggests a mathematical model for representing noise in the image and solves the model for denoising. A comparison of smooth optimization algorithm with Fourier transform is presented with test image.
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