radial distortion - sci.utah.edu · vnpt -unpt and n — ml (6.3.9) note the similarity with the...
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![Page 1: Radial Distortion - sci.utah.edu · vnpT -unpT and n — ml (6.3.9) Note the similarity with the previous case. ... using linear least squares. Geometrically, radial distortion changes](https://reader033.vdocument.in/reader033/viewer/2022051508/5acbbc407f8b9a93268b9a92/html5/thumbnails/1.jpg)
Radial Distortion
magnification/focal length different for different angles of inclination
Can be corrected! (if parameters are know)
pincushion(tele-photo)
barrel(wide-angle)
![Page 2: Radial Distortion - sci.utah.edu · vnpT -unpT and n — ml (6.3.9) Note the similarity with the previous case. ... using linear least squares. Geometrically, radial distortion changes](https://reader033.vdocument.in/reader033/viewer/2022051508/5acbbc407f8b9a93268b9a92/html5/thumbnails/2.jpg)
Radial distortion
• Due to spherical lenses (cheap)• Model:
R
yxyxKyxKyx ...))()(1(),( 44
2
22
1R
http://foto.hut.fi/opetus/260/luennot/11/atkinson_6-11_radial_distortion_zoom_lenses.jpgstraight lines are not straight anymore pincushion dist.
barrel dist.
![Page 3: Radial Distortion - sci.utah.edu · vnpT -unpT and n — ml (6.3.9) Note the similarity with the previous case. ... using linear least squares. Geometrically, radial distortion changes](https://reader033.vdocument.in/reader033/viewer/2022051508/5acbbc407f8b9a93268b9a92/html5/thumbnails/3.jpg)
Radial distortion
• Due to spherical lenses (cheap)• Model (following Tsai 1987 et al.):
http://foto.hut.fi/opetus/260/luennot/11/atkinson_6-11_radial_distortion_zoom_lenses.jpgstraight lines are not straight anymore pincushion dist.
barrel dist.
![Page 4: Radial Distortion - sci.utah.edu · vnpT -unpT and n — ml (6.3.9) Note the similarity with the previous case. ... using linear least squares. Geometrically, radial distortion changes](https://reader033.vdocument.in/reader033/viewer/2022051508/5acbbc407f8b9a93268b9a92/html5/thumbnails/4.jpg)
Radial distortion example
![Page 5: Radial Distortion - sci.utah.edu · vnpT -unpT and n — ml (6.3.9) Note the similarity with the previous case. ... using linear least squares. Geometrically, radial distortion changes](https://reader033.vdocument.in/reader033/viewer/2022051508/5acbbc407f8b9a93268b9a92/html5/thumbnails/5.jpg)
3.3.1 Estimation of Projection Matrix
F&P page 48 ff
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Useful Links
Demo calibration (some links broken):• http://mitpress.mit.edu/e-
journals/Videre/001/articles/Zhang/CalibEnv/CalibEnv.html
Bouget camera calibration SW:• http://www.vision.caltech.edu/bouguetj/
calib_doc/CVonline: Monocular Camera calibration:• http://homepages.inf.ed.ac.uk/cgi/rbf/C
VONLINE/entries.pl?TAG250