{"id":1957,"date":"2014-02-05T17:32:46","date_gmt":"2014-02-05T17:32:46","guid":{"rendered":"https:\/\/www.anagram.at\/en\/diplomarbeit\/real-data-2\/"},"modified":"2014-02-05T17:32:46","modified_gmt":"2014-02-05T17:32:46","slug":"real-data-2","status":"publish","type":"page","link":"https:\/\/www.anagram.at\/en\/diplomarbeit\/real-data-2\/","title":{"rendered":"Real data"},"content":{"rendered":"<p><body><br \/>\n<!--Navigation Panel--><br \/>\n<b> Next:<\/b> <a name=\"tex2html694\" href=\"https:\/\/www.anagram.at\/diplomarbeit\/3d-reconstruction-2\/\">3D Reconstruction<\/a><br \/>\n<b> Up:<\/b> <a name=\"tex2html690\" href=\"https:\/\/www.anagram.at\/diplomarbeit\/correspondence-analysis-3\/\">Correspondence Analysis<\/a><br \/>\n<b> Previous:<\/b> <a name=\"tex2html686\" href=\"https:\/\/www.anagram.at\/diplomarbeit\/synthetic-data-2\/\">Synthetic data<\/a><br \/>\n<!--End of Navigation Panel--><\/p>\n<h2><a name=\"SECTION00532000000000000000\"><br \/>\nReal data<\/a><br \/>\n<\/h2>\n<p>\nThe acquisition system used was already presented in Section <a href=\"node24.html#M:AcquisitionSystem\">3.1<\/a>, now it is used to measure the accuracy of the correspondence analysis using real data. The images have to be rectified to achieve correct results. The position and size of the objects in space is known and, as in the last chapter, used to calculate the true disparities. The translation vectors are given by\n<\/p>\n<p\/>\n<div align=\"CENTER\"><!-- MATH\n begin{equation}\nbegin{aligned}\nT_l =\nbegin{pmatrix}\n 88.1702346802 \n -79.7057495117 \n 611.7904663086 \nend{pmatrix}\nqquad\nT_r = \nbegin{pmatrix}\n 141.6166229248\n -91.7347183228\n 617.5389404297 \nend{pmatrix}\nend{aligned}\nend{equation}\n --><\/p>\n<table cellpadding=\"0\" width=\"100%\" align=\"CENTER\">\n<tr valign=\"MIDDLE\">\n<td nowrap=\"nowrap\" align=\"CENTER\"><img loading=\"lazy\" width=\"450\" height=\"114\" border=\"0\" src=\"https:\/\/www.anagram.at\/app\/uploads\/2014\/02\/img295.png\" alt=\"begin{equation*}begin{aligned}T_l = begin{pmatrix}88.1702346802  -79.705749...&#10;...248 -91.7347183228 617.5389404297 end{pmatrix} end{aligned}end{equation*}\"\/><\/td>\n<\/tr>\n<\/table>\n<\/div>\n<p><br clear=\"ALL\"\/><\/p>\n<p\/>\nUsing Equation <a href=\"node21.html#SV:baseline\">2.36<\/a>, the baseline is given by <img loading=\"lazy\" width=\"99\" height=\"19\" align=\"BOTTOM\" border=\"0\" src=\"https:\/\/www.anagram.at\/app\/uploads\/2014\/02\/img296.png\" alt=\"$ 53.4464mm$\"\/>. The focal length of the left camera is <!-- MATH\n $[493.773,496.006]$\n --><br \/>\n<img loading=\"lazy\" width=\"146\" height=\"37\" align=\"MIDDLE\" border=\"0\" src=\"https:\/\/www.anagram.at\/app\/uploads\/2014\/02\/img297.png\" alt=\"$ [493.773,496.006]$\"\/>px. For the computation the bigger value of the focal lengths is used. Figure <a href=\"#F:realCorr\">4.8<\/a> shows the left and right image. The objects that are inside the view of the cameras are a wooden cone and a metallic cube. The properties of these objects have already been described in Section <a href=\"node38.html#LD:RealData\">4.2.2<\/a>. <\/p>\n<div align=\"CENTER\"><a name=\"F:realCorr\"\/><a name=\"2525\"\/><\/p>\n<table>\n<caption align=\"BOTTOM\"><strong>Figure 4.8:<\/strong><br \/>\nThe figure shows a pair of real images and their corresponding edge images. The top left image shows also the result of the correspondence analysis. The red and green lines corresponds to each other.<\/caption>\n<tr>\n<td>\n<div align=\"CENTER\">\n <img loading=\"lazy\" width=\"560\" height=\"400\" align=\"BOTTOM\" border=\"0\" src=\"https:\/\/www.anagram.at\/app\/uploads\/2014\/02\/real_data_corr.jpg\" alt=\"Image real_data_corr\"\/><\/div>\n<\/td>\n<\/tr>\n<\/table>\n<\/div>\n<p\/>\n<div align=\"CENTER\"><a name=\"2533\"\/><\/p>\n<table>\n<caption><strong>Table 4.5:<\/strong><br \/>\nResults of correspondence analysis using real data.<\/caption>\n<tr>\n<td>\n<div align=\"CENTER\">\n<table cellpadding=\"3\" border=\"1\" align=\"CENTER\">\n<tr>\n<td align=\"CENTER\"><font size=\"-1\"><br \/>\nObject <\/font><\/td>\n<td align=\"CENTER\"><font size=\"-1\"> distance <\/font><\/td>\n<td align=\"CENTER\"><font size=\"-1\"> disparity <\/font><\/td>\n<td align=\"CENTER\"><font size=\"-1\"> calculated disparity <\/font><\/td>\n<td align=\"CENTER\"><font size=\"-1\">  error[px] <\/font><\/td>\n<td align=\"CENTER\"><font size=\"-1\"> error[cm]<\/font><\/td>\n<\/tr>\n<tr>\n<td align=\"CENTER\"><font size=\"-1\"> <\/p>\n<p>Rect 1,l <\/font><\/td>\n<td align=\"CENTER\"><font size=\"-1\"> 60 <\/font><\/td>\n<td align=\"CENTER\"><font size=\"-1\"> 44.1828 <\/font><\/td>\n<td align=\"CENTER\"><font size=\"-1\"> 44 &#8211; 46 <\/font><\/td>\n<td align=\"CENTER\"><font size=\"-1\"> 0.128,1.872 <\/font><\/td>\n<td align=\"CENTER\"><font size=\"-1\"> -0.2,2.4 <\/font><\/td>\n<\/tr>\n<tr>\n<td align=\"CENTER\"><font size=\"-1\"><br \/>\nRect 1,r <\/font><\/td>\n<td align=\"CENTER\"><font size=\"-1\"> 60 <\/font><\/td>\n<td align=\"CENTER\"><font size=\"-1\"> 44.1828 <\/font><\/td>\n<td align=\"CENTER\"><font size=\"-1\"> 45 <\/font><\/td>\n<td align=\"CENTER\"><font size=\"-1\"> 0.8171 <\/font><\/td>\n<td align=\"CENTER\"><font size=\"-1\"> 1.1 <\/font><\/td>\n<\/tr>\n<tr>\n<td align=\"CENTER\"><font size=\"-1\"><br \/>\nCone l   <\/font><\/td>\n<td align=\"CENTER\"><font size=\"-1\"> 50 <\/font><\/td>\n<td align=\"CENTER\"><font size=\"-1\"> 53.01 <\/font><\/td>\n<td align=\"CENTER\"><font size=\"-1\"> 50-51 <\/font><\/td>\n<td align=\"CENTER\"><font size=\"-1\"> 3.01-2.01 <\/font><\/td>\n<td align=\"CENTER\"><font size=\"-1\"> 3,1.9<\/font><\/td>\n<\/tr>\n<tr>\n<td align=\"CENTER\"><font size=\"-1\"><br \/>\nCone r   <\/font><\/td>\n<td align=\"CENTER\"><font size=\"-1\"> 50  <\/font><\/td>\n<td align=\"CENTER\"><font size=\"-1\"> 53.01 <\/font><\/td>\n<td align=\"CENTER\"><font size=\"-1\"> 58 <\/font><\/td>\n<td align=\"CENTER\"><font size=\"-1\"> 4.99 <\/font><\/td>\n<td align=\"CENTER\"><font size=\"-1\"> 4.3 <\/font><\/td>\n<\/tr>\n<\/table>\n<p><font size=\"-1\"><\/p>\n<p><a name=\"T:corrRealData\"\/><\/font><\/p>\n<\/div>\n<\/td>\n<\/tr>\n<\/table>\n<\/div>\n<p\/>\n<p>Table <a href=\"#T:corrRealData\">4.5<\/a> shows the true and the calculated disparities. The distance between the camera and the objects have been manually measured, thus are affected by an error which is about +\/- 2cm. The maximum disparity error rises up to 5px. Which, in the case of Table <a href=\"#T:corrRealData\">4.5<\/a>, results in a deviation of 4.3 cm in the camera coordinate system. The mean disparity error is given by <b>2.12<\/b> px. <\/p>\n<hr\/>\n<p><!--Navigation Panel--><b> Next:<\/b> <a name=\"tex2html694\" href=\"https:\/\/www.anagram.at\/diplomarbeit\/3d-reconstruction-2\/\">3D Reconstruction<\/a><br \/>\n<b> Up:<\/b> <a name=\"tex2html690\" href=\"https:\/\/www.anagram.at\/diplomarbeit\/correspondence-analysis-3\/\">Correspondence Analysis<\/a><br \/>\n<!--End of Navigation Panel--><\/p>\n<p><\/body><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Real data<\/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\/1957"}],"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=1957"}],"version-history":[{"count":0,"href":"https:\/\/www.anagram.at\/en\/wp-json\/wp\/v2\/pages\/1957\/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=1957"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.anagram.at\/en\/wp-json\/wp\/v2\/categories?post=1957"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}