Abstract
We consider the numerical solution of first kind Fredholm integral equations. Such integral equations occur in signal processing and image recovery problems among others. For this numerical study, the kernel k(x,t) is the sinc kernel. This study compares traditional Tikhonov regularization with an extension of Tikhonov regularization which updates the solution found by the usual method. In this work, both the identity, derivative and Laplacian operators are used as regularizers and tests were done with and without error in the image data g(x). The results indicate that the extension can provide a decrease in error of about two orders of magnitude.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
