{"id":1963,"date":"2014-02-05T17:32:45","date_gmt":"2014-02-05T17:32:45","guid":{"rendered":"https:\/\/www.anagram.at\/en\/diplomarbeit\/line-detection\/"},"modified":"2014-02-05T17:32:45","modified_gmt":"2014-02-05T17:32:45","slug":"line-detection","status":"publish","type":"page","link":"https:\/\/www.anagram.at\/en\/diplomarbeit\/line-detection\/","title":{"rendered":"Line Detection"},"content":{"rendered":"


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\n Next:<\/b> Synthetic data<\/a>
\n Up:<\/b> Results<\/a>
\n Previous:<\/b> Calibration<\/a>
\n<\/p>\n

<\/p>\n

Line Detection
\n<\/h1>\n

\nThe accuracy of the line detection is measured with synthetic<\/i> and real<\/i> data and defined by the difference of the manually and the automatic detection of line properties. The properties that are evaluated are\n<\/p>\n

\n
line origin<\/strong><\/dt>\n
The coordinate of the first point\n<\/dd>\n
line end<\/strong><\/dt>\n
The coordinate of the last point\n<\/dd>\n
attitude<\/strong><\/dt>\n
The attitude of the line\n<\/dd>\n<\/dl>\n

The attitude \"$ is the most important property when it comes to correspondence analysis and is defined as <\/p>\n\n

<\/p>\n\n\n
\"begin{equation*}begin{aligned}alpha<\/td>\n<\/tr>\n<\/table>\n<\/div>\n


<\/p>\n\nwhere
\n\"$ and
\n\"$. \"$ are the coordinates of the line, \"$ defines if \"$ or \"$ is used and \"$ defines if it is the start or end point. Note that \"$ is not defined when \"$ is 0. In this special case \"$ is set to \"$. But \"$ is only 0 in the case of a horizontal lines, which cannot be used for the further computation. Due to the importance of the attitude in the following correspondence analysis the images have to be rectified or be the result of a parallel camera system4.2<\/sup><\/a> in order to solve the corresponding problem correctly. <\/p>\n\n

Subsections<\/strong><\/a><\/p>\n