Study of the PSF for Linear Motion Blurring at Arbitrary Direction

Abstract

Motion-blurring is caused by the relative motion between the camera and the object. It is a ubiquitous matter in the fields of the photo shot at the plane or space aircraft and the photo of object moving at high speed and so on. The paper analyses the theory of images blurred by motion and sets up the model of image degradation and restoration. The paper also proves that the two-dimensional PSF (point spread function) must be directly set in the motion direction in order to restore image accurately and summarizes that setting PSF accurately is the key to the image restoration. The paper proposes an algorithm to set up PSF in the spatial domain, using the knowledge of computer graphics, digital image processing and numerical analysis. It solves the problem that it is not accurate to restore image in the frequency domain because of the particularity of the frequency spectrum. KEYWORD: Uniform Linear Motion Blurring; Image Restoration; Bresenham Algorithm; Bilinear Interpolation; PSF