A New Arithmetic Of Super-resolution Image Reconstruction

With the development of society, people's growing demand for high-quality images to a strong collection of optical imaging system of the clarity of the picture also made more stringent requirements. In the actual production and living in the real world image as a three-dimensional scene in two-dimensional projection plane, this process would lose a lot of information.At the same time optical imaging of objects on the target system in the process of imaging, there are many factors that will lead to the degradation of image quality, serious damage to the image recorded as a vector function of the objective world.As mankind enters the digital age, the needs of the digital image signal processing, are bound to exist on the image signals from analog signals to digital image conversion.By the Nyquist sampling theorem, we can see that the sampling frequency at least twice the highest frequency signal, the signal to get the full reconstruction, or will cause the signal spectrum aliasing.The image signal compared to audio signals, the high-frequency information is more abundant, accounting for a broader spectrum bandwidth, analog image signals in digital sampling rate of the hardware put forward higher requirements.Opinion in accordance with Fourier optics, optical imaging system of a low-pass filter, the system frequency response to a cut-off frequency of optical diffraction. Image super-resolution techniques is to restore or re-imaging system as at some of the spectrum outside the frequency content. When the image as a function of air space is bounded, its spectrum is a function of analytic functions. According to a given analytic function at a range of values and on the overall reconstruction of the function is called analytical continuation, so in theory, the entire spectrum of the reconstructed image of the renewal function, or at least outside the diffraction limit on certain frequencies spectral function is possible.In this paper, super-resolution image reconstruction based on the latest developments in methods, focus on the super-resolution image reconstruction of the theoretical basis, mathematical model, as well as the primary means of existing, on the basis of a non-uniform sampling based on interpolation principle and to the iterative projection algorithm that combines the new algorithm, first through non-uniform sampling has been the principle of iterative interpolation factor, and then into the projector to the iterative algorithm, through the output to be bound by the terms of the subjective point of view objective data or the results are satisfactory. Experiments show the effectiveness of the method.