Image restoration of blurring due to rectilinear motion: constant velocity and constant acceleration

Abstract

If a relative motion exists between a given object's image and a recording medium (such as a photographic film) during exposure, the recorded image will be blurred. This effect can be expressed by an impulse response in irradiance function and the respective image restoration is made possible by a post-recording process. General one-dimension motion is considered here. Two cases are discussed: constant velocity motion and constant acceleration motion. Image simulations representing those degradation mechanisms are shown, as well as the corresponding restored images after using the method which is described in this work. This method is based on Dirac delta function propreties. We also show real digital images affected by those motions. It can be experimentally obtained by using an air-rail. The blurred images are processed digitally by spatial filters given by the proposed method. Numerical and experimental results are shown.