Algorithms for Increasing the Resolution of Digital Images Using Circular Scanning Data

The article describes an algorithm for increasing the spatial resolution of digital images using circular scanning technology. A methodology for solving the entire chain of problems associated with circular scanning of images is described in full details. It starts with the development of the necessary mathematical model and ends with the final programs and algorithms for optimal subpixel reconstruction of original digital images with increased spatial resolution. The optimal values of the scanning radius are calculated using the software modelling method. It means calculating the relative radius of the photomatrix circular trajectory with the minimal root-mean-square error when reconstructing the original noisy image. Examples of various reconstructed images are shown along with the calculations of reconstruction accuracy for various parameters of circular scanning and levels of multiplicative and additive noise. Software implementation of the developed algorithms is done using the MATLAB system.