{"id":342,"date":"2021-05-24T10:55:20","date_gmt":"2021-05-24T10:55:20","guid":{"rendered":"http:\/\/www.keithdillon.com\/?p=342"},"modified":"2023-05-15T03:45:41","modified_gmt":"2023-05-15T03:45:41","slug":"a-first-order-optimization-method-for-learning-to-reconstruct-opacity-in-computational-imaging","status":"publish","type":"post","link":"https:\/\/www.keithdillon.com\/index.php\/2021\/05\/24\/a-first-order-optimization-method-for-learning-to-reconstruct-opacity-in-computational-imaging\/","title":{"rendered":"A first-order optimization method for learning to reconstruct opacity in computational imaging"},"content":{"rendered":"<p>Unknown self-occlusion in a scene with opaque objects causes the multiview reconstruction problem to become ill-posed and nonlinear. In this report we describe a scalable nonlinear optimization method for simultaneously reconstructing the object and occlusion. The approach uses a simple learning stage which forms hypotheses for scene opacity given locally-optimal reconstruction estimates. This is combined with a first-order projected-gradient method for imposing physical consistency. Results are demonstrated for simulated examples.<\/p>\n<p><a href=\"https:\/\/www.keithdillon.com\/papers_preprints\/A first-order optimization method for learning to reconstruct opacity in computational imaging.pdf\">A first-order optimization method for learning to reconstruct opacity in computational imaging<\/a><a href=\"https:\/\/www.keithdillon.com\/papers_preprints\/.pdf\">.pdf<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Unknown self-occlusion in a scene with opaque objects causes the multiview reconstruction problem to become ill-posed and nonlinear. In this report we describe a scalable nonlinear optimization method for simultaneously reconstructing the object and occlusion. The approach uses a simple<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"_links":{"self":[{"href":"https:\/\/www.keithdillon.com\/index.php\/wp-json\/wp\/v2\/posts\/342"}],"collection":[{"href":"https:\/\/www.keithdillon.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.keithdillon.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.keithdillon.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.keithdillon.com\/index.php\/wp-json\/wp\/v2\/comments?post=342"}],"version-history":[{"count":3,"href":"https:\/\/www.keithdillon.com\/index.php\/wp-json\/wp\/v2\/posts\/342\/revisions"}],"predecessor-version":[{"id":346,"href":"https:\/\/www.keithdillon.com\/index.php\/wp-json\/wp\/v2\/posts\/342\/revisions\/346"}],"wp:attachment":[{"href":"https:\/\/www.keithdillon.com\/index.php\/wp-json\/wp\/v2\/media?parent=342"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.keithdillon.com\/index.php\/wp-json\/wp\/v2\/categories?post=342"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.keithdillon.com\/index.php\/wp-json\/wp\/v2\/tags?post=342"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}