Abstract
Image restoration is formulated as the problem of minimizing a non-convex cost function E( f, l) in which a binary self-interacting line process is introduced. Each line element is then approximated by a sigmoidal function of the local intensity gradient, which depends on a parameter T, thus obtaining a sequence of functions F T ( f) converging to a function F( f) that implicitly refers to the line process. In the case of a non-interacting line process, function F( f) coincides with the one derived for the weak membrane problem. The minimum of F( f) is computed through a GNC-type algorithm which minimizes in sequence the various F T ( f)'s using gradient descent techniques. When generalized to the case of self-interacting line elements, the method is flexible in introducing any kind of constraint on the configurations of the discontinuity field. The results of simulations highlight that the method improves the quality of the reconstruction when constraints on the line process are introduced, without any increase in the computational costs with respect to the case where there are no self-interactions between lines.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.