{"id":105563,"date":"2022-08-03T03:49:03","date_gmt":"2022-08-03T03:49:03","guid":{"rendered":"https:\/\/ahay.org\/blog\/?p=105563"},"modified":"2022-08-03T03:49:03","modified_gmt":"2022-08-03T03:49:03","slug":"interpolation-using-plane-wave-shaping-regularization","status":"publish","type":"post","link":"https:\/\/ahay.org\/blog\/2022\/08\/03\/interpolation-using-plane-wave-shaping-regularization\/","title":{"rendered":"Interpolation using plane-wave shaping regularization"},"content":{"rendered":"<p>An old paper is added to the <a href=\"\/wiki\/Reproducible_Documents\">collection of reproducible documents<\/a>: <a href=\"\/RSF\/book\/tccs\/pwshape\/paper_html\/\">Seismic data interpolation using plane-wave shaping regularization<\/a><\/p>\n<p><img decoding=\"async\" src=\"\/RSF\/book\/tccs\/pwshape\/qdome3\/Fig\/hole.png\" alt=\"\" title=\"\" \/> <img decoding=\"async\" src=\"\/RSF\/book\/tccs\/pwshape\/qdome3\/Fig\/hole-shape.png\" alt=\"\" title=\"\" \/> <\/p>\n<blockquote>\n<p>The problem with interpolating insufficient, irregularly sampled data is that there exist infinitely many solutions. When solving ill-posed inverse problems in geophysics, we apply regularization to constrain the model space in some way. We propose to use plane-wave shaping in iterative regularization schemes. By shaping locally planar events to the local slope, we effectively interpolate in the structure-oriented direction and preserve the most geologic dip information. In our experiments, this type of interpolation converges in fewer iterations than alternative techniques. The proposed plane-wave shaping mave have potential applications in seismic tomography and well-log interpolation.<\/p>\n<\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>An old paper is added to the collection of reproducible documents: Seismic data interpolation using plane-wave shaping regularization The problem with interpolating insufficient, irregularly sampled data is that there exist infinitely many solutions. When solving ill-posed inverse problems in geophysics, we apply regularization to constrain the model space in some way. We propose to use [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_import_markdown_pro_load_document_selector":0,"_import_markdown_pro_submit_text_textarea":"","activitypub_content_warning":"","activitypub_content_visibility":"","activitypub_max_image_attachments":4,"activitypub_interaction_policy_quote":"anyone","activitypub_status":"","footnotes":""},"categories":[7],"tags":[],"class_list":["post-105563","post","type-post","status-publish","format-standard","hentry","category-examples"],"_links":{"self":[{"href":"https:\/\/ahay.org\/blog\/wp-json\/wp\/v2\/posts\/105563","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ahay.org\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ahay.org\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ahay.org\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ahay.org\/blog\/wp-json\/wp\/v2\/comments?post=105563"}],"version-history":[{"count":2,"href":"https:\/\/ahay.org\/blog\/wp-json\/wp\/v2\/posts\/105563\/revisions"}],"predecessor-version":[{"id":105570,"href":"https:\/\/ahay.org\/blog\/wp-json\/wp\/v2\/posts\/105563\/revisions\/105570"}],"wp:attachment":[{"href":"https:\/\/ahay.org\/blog\/wp-json\/wp\/v2\/media?parent=105563"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ahay.org\/blog\/wp-json\/wp\/v2\/categories?post=105563"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ahay.org\/blog\/wp-json\/wp\/v2\/tags?post=105563"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}