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Video measurement of linear displacement along an oblique line using the cross-ratio

Video measurement of linear displacement along an oblique line using the cross-ratio

Colpus, Mark and Goss-Sampson, Mark (2015) Video measurement of linear displacement along an oblique line using the cross-ratio. In: 33rd International Conference of Biomechanics in Sport, 29th June - 3rd July 2015, Poitiers, France.

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Abstract

The purpose of this study was to rediscover the cross-ratio and assess its effectiveness for measuring linear displacement when the image plane is not parallel to the object plane. In the laboratory a fixed, 4m object length was reconstructed with a mean absolute error of 2.6mm (s.d. = 1.6mm, maximum = 4.9mm). In the field, two cameras filmed a fixed, 8m object length with a mean absolute error of 13mm (s.d. = 5mm, maximum = 20mm). The method is very accessible to non-specialists in projective geometry and the results are both valid and reliable.

Item Type: Conference or Conference Paper (Paper)
Uncontrolled Keywords: cross-ratio, camera, calibration, perspective.
Faculty / Department / Research Group: Faculty of Engineering & Science
Faculty of Engineering & Science > Centre for Science and Medicine in Sport and Exercise
Faculty of Engineering & Science > Department of Life & Sports Sciences
Related URLs:
Last Modified: 21 Apr 2017 22:57
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
URI: http://gala.gre.ac.uk/id/eprint/13982

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