Ancona - Municipality Hall

1. Ancona - Municipality Hall The principal point PP is the intersection of the three heights of the triangle with vertices the three V.P. The V.P. procedure can even be carried out in a graphical way, in addition to some very simple formulae. By means of the estimated transformation parameters, both facades are rectified. Here the lateral façade is geometrically corrected but obviously poor in quality. In the table we show the comparison between the interior orientation parameters from VP procedure and those estimated by the calibration of two cameras.

2. Table 1 - Calibration Vs Vanishing Points procedure – ( pixel ) Table 1 - Calibration Vs Vanishing Points procedure – ( pixel ) Table 1 - Calibration Vs Vanishing Points procedure – ( pixel ) Table 1 - Calibration Vs Vanishing Points procedure – ( pixel ) Table 1 - Calibration Vs Vanishing Points procedure – ( pixel ) Table 1 - Calibration Vs Vanishing Points procedure – ( pixel ) Calibration Calibration Calibration Calibration Calibration Calibration VP Procedure VP Procedure VP Procedure VP Procedure VP Procedure VP Procedure Differences Differences Differences Differences Differences Differences 1 1 1 1 1 1 Fuji GSW69 No distortion corrected Fuji GSW69 No distortion corrected Fuji GSW69 No distortion corrected Fuji GSW69 No distortion corrected Fuji GSW69 No distortion corrected Fuji GSW69 No distortion corrected X X X X X X 956 956 956 956 956 956 1004 1004 1004 1004 1004 1004 -48 -48 -48 -48 -48 -48 -5.1% -5.1% -5.1% -5.1% -5.1% -5.1% Y Y Y Y Y Y 659 659 659 659 659 659 657 657 657 657 657 657 +2 +2 +2 +2 +2 +2 +0.3% +0.3% +0.3% +0.3% +0.3% +0.3% C C C C C C 1579 1579 1579 1579 1579 1579 1569 1569 1569 1569 1569 1569 +10 +10 +10 +10 +10 +10 +0.6% +0.6% +0.6% +0.6% +0.6% +0.6% 2 2 2 2 2 2 Fuji GSW69 distortion corrected Fuji GSW69 distortion corrected Fuji GSW69 distortion corrected Fuji GSW69 distortion corrected Fuji GSW69 distortion corrected Fuji GSW69 distortion corrected X X X X X X 956 956 956 956 956 956 977 977 977 977 977 977 +21 +21 +21 +21 +21 +21 +2% +2% +2% +2% +2% +2% Y Y Y Y Y Y 659 659 659 659 659 659 680 680 680 680 680 680 -23 -23 -23 -23 -23 -23 -3.3% -3.3% -3.3% -3.3% -3.3% -3.3% C C C C C C 1579 1579 1579 1579 1579 1579 1599 1599 1599 1599 1599 1599 -20 -20 -20 -20 -20 -20 -1.3% -1.3% -1.3% -1.3% -1.3% -1.3% 3 3 3 3 3 3 Rectified image Rectified image Rectified image Rectified image Rectified image Rectified image X X X X X X -102 -102 -102 -102 -102 -102 -104 -104 -104 -104 -104 -104 +2 +2 +2 +2 +2 +2 +1.9% +1.9% +1.9% +1.9% +1.9% +1.9% Y Y Y Y Y Y 2359 2359 2359 2359 2359 2359 2378 2378 2378 2378 2378 2378 -19 -19 -19 -19 -19 -19 -0.8% -0.8% -0.8% -0.8% -0.8% -0.8% C C C C C C 1137 1137 1137 1137 1137 1137  1140  1140  1140  1140  1140  1140  -3  -3  -3  -3  -3  -3  0.2%  0.2%  0.2%  0.2%  0.2%  0.2% 4 4 4 4 4 4 Fuji Finepix4900 No distortion corrected Fuji Finepix4900 No distortion corrected Fuji Finepix4900 No distortion corrected Fuji Finepix4900 No distortion corrected Fuji Finepix4900 No distortion corrected Fuji Finepix4900 No distortion corrected X X X X X X 1170 1170 1170 1170 1170 1170 1177 1177 1177 1177 1177 1177 -7 -7 -7 -7 -7 -7 -0.6% -0.6% -0.6% -0.6% -0.6% -0.6% Y Y Y Y Y Y 901 901 901 901 901 901 878 878 878 878 878 878 +29 +29 +29 +29 +29 +29 +3.3% +3.3% +3.3% +3.3% +3.3% +3.3% C C C C C C 2484 2484 2484 2484 2484 2484 2400 2400 2400 2400 2400 2400 -84 -84 -84 -84 -84 -84 -3.4% -3.4% -3.4% -3.4% -3.4% -3.4% 5 5 5 5 5 5 Fuji Finepix4900 No distortion corrected Fuji Finepix4900 No distortion corrected Fuji Finepix4900 No distortion corrected Fuji Finepix4900 No distortion corrected Fuji Finepix4900 No distortion corrected Fuji Finepix4900 No distortion corrected X X X X X X 1170 1170 1170 1170 1170 1170 1200 1200 1200 1200 1200 1200 -30 -30 -30 -30 -30 -30 -2.6% -2.6% -2.6% -2.6% -2.6% -2.6% Y Y Y Y Y Y 901 901 901 901 901 901 955 955 955 955 955 955 +54 +54 +54 +54 +54 +54 +6.0% +6.0% +6.0% +6.0% +6.0% +6.0% C C C C C C 2484 2484 2484 2484 2484 2484 2475 2475 2475 2475 2475 2475 +9 +9 +9 +9 +9 +9 +0.4% +0.4% +0.4% +0.4% +0.4% +0.4% 6 6 6 6 6 6 Fuji Finepix4900 distortion corrected Fuji Finepix4900 distortion corrected Fuji Finepix4900 distortion corrected Fuji Finepix4900 distortion corrected Fuji Finepix4900 distortion corrected Fuji Finepix4900 distortion corrected X X X X X X 1170 1170 1170 1170 1170 1170 1194 1194 1194 1194 1194 1194 -24 -24 -24 -24 -24 -24 -1.4% -1.4% -1.4% -1.4% -1.4% -1.4% Y Y Y Y Y Y 901 901 901 901 901 901 959 959 959 959 959 959 +58 +58 +58 +58 +58 +58 +6.4% +6.4% +6.4% +6.4% +6.4% +6.4% C C C C C C 2484 2484 2484 2484 2484 2484 2484 2484 2484 2484 2484 2484 0 0 0 0 0 0 0% 0% 0% 0% 0% 0%

3. 4) P F 3 (3 Punti di Fuga) By . Gianluca Gagliardini Program in Visual Basic 6.0

4. Determination of the camera parameters images Rectification Digital ruler PF3 ?

5. adjustment: three orthogonal bundles, the vanishing points camera Parameters in pixel

6. (0,0,0) Digital ruler: From 2D to 3D with a single image • Three steps: • fix an origine  points • (it implies a scale selection) • fix a distance d • measure along the object edges parallel to the three main directions Cube d image plane

7. Origine Measure mode • Fix a reference distance • Measure

8. GEOMETRY OF THE VANISHING POINTS BY PF3PROGRAM Three families of parallel lines, lying on three perpendicular planes

9. Determination of the three vanishing points by intersection of lines parallel in the object

10. Computation of the the co-ordinates of the three vanishing points orientation parameters rotation angles interior orientation parameters parameters of the rectified image