{"id":407,"date":"2016-10-31T17:30:49","date_gmt":"2016-10-31T17:30:49","guid":{"rendered":"http:\/\/pages.charlotte.edu\/colloquium\/?p=407"},"modified":"2016-11-02T13:39:33","modified_gmt":"2016-11-02T13:39:33","slug":"friday-november-4th","status":"publish","type":"post","link":"https:\/\/pages.charlotte.edu\/colloquium\/blog\/2016\/10\/31\/friday-november-4th\/","title":{"rendered":"Friday, November  4th, 2:00PM in Conference room"},"content":{"rendered":"<table>\n<tbody>\n<tr>\n<td><a href=\"http:\/\/macs.citadel.edu\/wittman\/\">Todd Wittman<\/a>, Department of Mathematics,\u00a0The Citadel<\/td>\n<\/tr>\n<tr>\n<td>Title: Enhancing Satellite Imagery using the Calculus of Variations<\/td>\n<\/tr>\n<tr>\n<td>Abstract: Image processing is an interdisciplinary field that draws on various branches of mathematics including optimization, differential equations, and numerical analysis.\u00a0 I will discuss a mathematical approach to enhancing satellite imagery based on the calculus of variations.\u00a0 Satellite spectral images give more information about the objects in the scene, but this comes at the cost of reduced spatial resolution.\u00a0 To address this issue, we can fuse the spectral image with a high-resolution panchromatic image.\u00a0 This process is called pan-sharpening.\u00a0 Traditional pan-sharpening methods work well for low-dimensional multispectral datasets (4-6 bands), but do not extend to high-dimensional hyperspectral datasets (100-200 bands).\u00a0 We present a variational method that incorporates wavelets and Total Variation to sharpen hyperspectral images.\u00a0 Time permitting, we will discuss applications to density estimation.\u00a0 This is a joint work with Michael Moeller, Andrea Bertozzi, and Martin Burger.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Todd Wittman, Department of Mathematics,\u00a0The Citadel Title: Enhancing Satellite Imagery using the Calculus of Variations Abstract: Image processing is an interdisciplinary field that draws on various branches of mathematics including optimization, differential equations, and numerical analysis.\u00a0 I will discuss a mathematical approach to enhancing satellite imagery based on the calculus of variations.\u00a0 Satellite spectral images [&hellip;]<\/p>\n","protected":false},"author":333,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":true,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[1],"tags":[],"class_list":["post-407","post","type-post","status-publish","format-standard","hentry","category-spring-2022"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p3kCtT-6z","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/407","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/users\/333"}],"replies":[{"embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/comments?post=407"}],"version-history":[{"count":4,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/407\/revisions"}],"predecessor-version":[{"id":411,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/407\/revisions\/411"}],"wp:attachment":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/media?parent=407"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/categories?post=407"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/tags?post=407"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}