A new blur identification and restoration method is presented. We observe that blurring increases the second-order central moment (SOCM) of image and introduce a new parametric blur identification method by minimizing SOCM. The method applied to finite support images, in which the scene consists of a finite extent object against a uniformly black, grey or white background. The method has been validated by direct comparisons with other methods on simulated images. Our experiments show that the SOCM minimization measurements match well with methods than maximize PSNR.