Deblurring filter design using second fundamental form of image surface

Abstract

High resolution deblurring by one step convolution of initial image with estimated inverse point spread function (IPSF) is offered. The IPSF is found basing on geometric properties of image surface characteristic in the manner of the second fundamental form (SFF). It was shown that the SFF can be used for blur elimination by simple subtraction of the SFF value from image signal. To reduce the influence of fluctuations on the form of the blur function the regularization was applied, which minimizes the func-tional area in the form of a curved surface.