Image restoration filters based on a 1-0 weighting over the domain of support of the PSF

Development of restoration filters based on the use of a narrowness measure for the composite point spread function of a blurring-restoration operation that is the ratio of the energy of the composite PSF in a fixed interval around the origin to its total energy, is discussed. For a continuous-continuous model, this leads to composite PSF´s that belong to the family of prolate spheroidal wave functions. For a continuous-discrete model, the solutions do not have simple analytical forms but resemble those of the continuous model. Filters of this type have been found to be superior to those with a radius-of-gyration narrowness measure for the control of sidelobes in the case of a Gaussian blurring function and for restoration of images degraded by linear motion blurring. Details of filter construction and examples of image restoration performance are presented.