{"id":1985,"date":"2014-02-05T17:32:41","date_gmt":"2014-02-05T17:32:41","guid":{"rendered":"https:\/\/www.anagram.at\/en\/diplomarbeit\/intensity-based-correspondence-analysis\/"},"modified":"2014-02-05T17:32:41","modified_gmt":"2014-02-05T17:32:41","slug":"intensity-based-correspondence-analysis","status":"publish","type":"page","link":"https:\/\/www.anagram.at\/en\/diplomarbeit\/intensity-based-correspondence-analysis\/","title":{"rendered":"Intensity-based correspondence analysis"},"content":{"rendered":"<p><body><br \/>\n<!--Navigation Panel--><br \/>\n<b> Next:<\/b> <a name=\"tex2html391\" href=\"https:\/\/www.anagram.at\/diplomarbeit\/correlation\/\">Correlation<\/a><br \/>\n<b> Up:<\/b> <a name=\"tex2html387\" href=\"https:\/\/www.anagram.at\/diplomarbeit\/correspondence-analysis\/\">Correspondence Analysis<\/a><br \/>\n<b> Previous:<\/b> <a name=\"tex2html381\" href=\"https:\/\/www.anagram.at\/diplomarbeit\/correspondence-analysis\/\">Correspondence Analysis<\/a><br \/>\n<!--End of Navigation Panel--><\/p>\n<h2><a name=\"SECTION00341000000000000000\"\/> <a name=\"intensity_based_corr\"\/><\/p>\n<p>Intensity-based correspondence analysis<br \/>\n<\/h2>\n<p>\nIntensity-based approaches compare intensity distributions between two images. Figure <a href=\"#intensity_profile\">2.12<\/a> shows two images and four intensity profiles. <\/p>\n<div align=\"CENTER\"><a name=\"intensity_profile\"\/><a name=\"537\"\/><\/p>\n<table>\n<caption align=\"BOTTOM\"><strong>Figure 2.12:<\/strong><br \/>\nThe image pair shown above is retrieved from the Calibrated Imaging Laboratory of CMU. They are taken from a parallel stereo configuration<\/caption>\n<tr>\n<td>\n<div align=\"CENTER\">\n<img loading=\"lazy\" width=\"567\" height=\"709\" align=\"BOTTOM\" border=\"0\" src=\"https:\/\/www.anagram.at\/app\/uploads\/2014\/02\/intensity.jpg\" alt=\"Image intensity\"\/><\/div>\n<\/td>\n<\/tr>\n<\/table>\n<\/div>\n<p>The distributions correspond to the black lines marked in the images. One at row 80 and the other at row 230. In fact, a close look at the intensity profiles from the corresponding rows of the image pair reveals that the two intensity profiles differ only by a horizontal shift and a local foreshortening. Figure <a href=\"#intensity_profile\">2.12<\/a>a and Figure <a href=\"#intensity_profile\">2.12<\/a>b depict the images taken with a camera that undergoes a displacement in the horizontal direction, the image pair therefore corresponds to a parallel camera set up. The same situation can be reached with any stereo system using rectification (see Section <a href=\"node13.html#rectification\">2.3.3<\/a> for more information). The result of an intensity-based method is a dense disparity map <img loading=\"lazy\" width=\"39\" height=\"37\" align=\"MIDDLE\" border=\"0\" src=\"https:\/\/www.anagram.at\/app\/uploads\/2014\/02\/img129.png\" alt=\"$ d(x)$\"\/>, thus for every pixel its disparity is known. Unfortunately there are also occlusions in stereo images, for this parts of the image d(x) are undefined or set to a special value which represents an occluded area.<\/p>\n<p>\nThere are several ways to find a solution for the corresponding problem. Two approaches will be mentioned: correlation and phase difference. <\/p>\n<\/p>\n<hr\/>\n<p><!--Table of Child-Links--><a name=\"CHILD_LINKS\"><strong>Subsections<\/strong><\/a><\/p>\n<ul>\n<li><a name=\"tex2html392\" href=\"https:\/\/www.anagram.at\/diplomarbeit\/correlation\/\">Correlation<\/a>\n<\/li>\n<li><a name=\"tex2html393\" href=\"https:\/\/www.anagram.at\/diplomarbeit\/phase-difference\/\">Phase Difference<\/a>\n<\/li>\n<\/ul>\n<p><!--End of Table of Child-Links--><\/p>\n<hr\/>\n<p><!--Navigation Panel--><b> Next:<\/b> <a name=\"tex2html391\" href=\"https:\/\/www.anagram.at\/diplomarbeit\/correlation\/\">Correlation<\/a><br \/>\n<b> Up:<\/b> <a name=\"tex2html387\" href=\"https:\/\/www.anagram.at\/diplomarbeit\/correspondence-analysis\/\">Correspondence Analysis<\/a><br \/>\n<!--End of Navigation Panel--><\/p>\n<p><\/body><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Intensity-based correspondence analysis<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":1946,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":""},"categories":[],"featured_image_src":null,"featured_image_src_square":null,"_links":{"self":[{"href":"https:\/\/www.anagram.at\/en\/wp-json\/wp\/v2\/pages\/1985"}],"collection":[{"href":"https:\/\/www.anagram.at\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.anagram.at\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.anagram.at\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.anagram.at\/en\/wp-json\/wp\/v2\/comments?post=1985"}],"version-history":[{"count":0,"href":"https:\/\/www.anagram.at\/en\/wp-json\/wp\/v2\/pages\/1985\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/www.anagram.at\/en\/wp-json\/wp\/v2\/pages\/1946"}],"wp:attachment":[{"href":"https:\/\/www.anagram.at\/en\/wp-json\/wp\/v2\/media?parent=1985"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.anagram.at\/en\/wp-json\/wp\/v2\/categories?post=1985"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}