{"id":421014,"date":"2017-08-21T16:00:27","date_gmt":"2017-08-21T23:00:27","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/?post_type=msr-research-item&#038;p=421014"},"modified":"2018-10-16T20:17:10","modified_gmt":"2018-10-17T03:17:10","slug":"closed-form-solution-retinex-nonlocal-texture-constraints","status":"publish","type":"msr-research-item","link":"https:\/\/www.microsoft.com\/en-us\/research\/publication\/closed-form-solution-retinex-nonlocal-texture-constraints\/","title":{"rendered":"A Closed-Form Solution to Retinex with Nonlocal Texture Constraints"},"content":{"rendered":"<div id=\"LayoutWrapper\">\n<div class=\"ng-scope\">\n<div>\n<div class=\"pure-g document stats-document ng-isolate-scope\">\n<section class=\"tab-pane pure-u-1-1 u-printing-display-inline-ie u-printing-display-inline-ff\">\n<div class=\"ng-scope\">\n<div class=\"ng-scope\">\n<section id=\"6175903\" class=\"pure-u-1-1 document-abstract document-tab u-p-2 ng-isolate-scope\">\n<div class=\"pure-g\">\n<div class=\"ng-scope pure-u-1-1\">\n<div class=\"ng-scope\">\n<div class=\"abstract-text ng-binding\">We propose a method for intrinsic image decomposition based on retinex theory and texture analysis. While most previous methods approach this problem by analyzing local gradient properties, our technique additionally identifies distant pixels with the same reflectance through texture analysis, and uses these nonlocal reflectance constraints to significantly reduce ambiguity in decomposition. We formulate the decomposition problem as the minimization of a quadratic function which incorporates both the retinex constraint and our nonlocal texture constraint. This optimization can be solved in closed form with the standard conjugate gradient algorithm. Extensive experimentation with comparisons to previous techniques validate our method in terms of both decomposition accuracy and runtime efficiency.<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n<\/div>\n<\/div>\n<\/section>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>We propose a method for intrinsic image decomposition based on retinex theory and texture analysis. While most previous methods approach this problem by analyzing local gradient properties, our technique additionally identifies distant pixels with the same reflectance through texture analysis, and uses these nonlocal reflectance constraints to significantly reduce ambiguity in decomposition. We formulate the [&hellip;]<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","msr-author-ordering":null,"msr_publishername":"","msr_publisher_other":"","msr_booktitle":"","msr_chapter":"","msr_edition":"","msr_editors":"","msr_how_published":"","msr_isbn":"","msr_issue":"7","msr_journal":"IEEE Transactions on Pattern Analysis and Machine 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