We discuss some applications in image restoration and enhancement, such as denoising and deblurring. The treatment involves a processing algorithm where an image is represented in a continuous frame and is manipulated through suitable time-dependent nonlinear Partial Differential Equations (PDEs). For this purpose, an ad-hoc space discretization scheme is implemented. As in the classic PDE-based image processing methods, the idea is to smooth out the regions of almost uniform shade and emphasize the discontinuities. The proposed methodology is quite efficient as satisfactory results are obtained after only one step. We present some numerical results by examining examples corrupted by average blur and/or salt and pepper noise.