{"id":1871,"date":"2015-02-15T09:00:00","date_gmt":"2015-02-15T09:00:00","guid":{"rendered":"https:\/\/wp.lancs.ac.uk\/icvl\/?p=1871"},"modified":"2023-03-26T08:03:10","modified_gmt":"2023-03-26T08:03:10","slug":"a-new-study-of-blind-deconvolution-with-implicit-incorporation-of-nonnegativity-constraints","status":"publish","type":"post","link":"http:\/\/wp.lancs.ac.uk\/icvl\/2015\/02\/15\/a-new-study-of-blind-deconvolution-with-implicit-incorporation-of-nonnegativity-constraints\/","title":{"rendered":"A new study of blind deconvolution with implicit incorporation of nonnegativity constraints"},"content":{"rendered":"\n<p>Chen K, Harding SP, Williams BM, Zheng Y. A new study of blind deconvolution with implicit incorporation of nonnegativity constraints. International Journal of Computational Mathematics. 2015 Feb 15;2015.<\/p>\n\n\n\n<p><a href=\"https:\/\/downloads.hindawi.com\/archive\/2015\/860263.pdf\">https:\/\/downloads.hindawi.com\/archive\/2015\/860263.pdf<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Abstract<\/h2>\n\n\n\n<p>The inverse problem of image restoration to remove noise and blur in an observed image was extensively studied in the last<br>two decades. For the case of a known blurring kernel (or a known blurring type such as out of focus or Gaussian blur), many<br>effective models and efficient solvers exist. However when the underlying blur is unknown, there have been fewer developments for<br>modelling the so-called blind deblurring since the early works of You and Kaveh (1996) and Chan and Wong (1998). A major<br>challenge is how to impose the extra constraints to ensure quality of restoration. This paper proposes a new transform based<br>method to impose the positivity constraints automatically and then two numerical solution algorithms. Test results demonstrate<br>the effectiveness and robustness of the proposed method in restoring blurred images.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Chen K, Harding SP, Williams BM, Zheng Y. International Journal of Computational Mathematics. 2015 Feb 15;2015.<\/p>\n","protected":false},"author":1442,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[12],"tags":[122,23],"class_list":["post-1871","post","type-post","status-publish","format-standard","hentry","category-journal-paper","tag-122","tag-bryan-m-williams"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack-related-posts":[],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"http:\/\/wp.lancs.ac.uk\/icvl\/wp-json\/wp\/v2\/posts\/1871","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/wp.lancs.ac.uk\/icvl\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/wp.lancs.ac.uk\/icvl\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/wp.lancs.ac.uk\/icvl\/wp-json\/wp\/v2\/users\/1442"}],"replies":[{"embeddable":true,"href":"http:\/\/wp.lancs.ac.uk\/icvl\/wp-json\/wp\/v2\/comments?post=1871"}],"version-history":[{"count":1,"href":"http:\/\/wp.lancs.ac.uk\/icvl\/wp-json\/wp\/v2\/posts\/1871\/revisions"}],"predecessor-version":[{"id":1872,"href":"http:\/\/wp.lancs.ac.uk\/icvl\/wp-json\/wp\/v2\/posts\/1871\/revisions\/1872"}],"wp:attachment":[{"href":"http:\/\/wp.lancs.ac.uk\/icvl\/wp-json\/wp\/v2\/media?parent=1871"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/wp.lancs.ac.uk\/icvl\/wp-json\/wp\/v2\/categories?post=1871"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/wp.lancs.ac.uk\/icvl\/wp-json\/wp\/v2\/tags?post=1871"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}