Paper
31 December 2008 3D measurement based on vanishing point theorem
Shujie Pan, Shouping Dong, Honglian Ma, Hongli Wang
Author Affiliations +
Proceedings Volume 7130, Fourth International Symposium on Precision Mechanical Measurements; 71303O (2008) https://doi.org/10.1117/12.819691
Event: Fourth International Symposium on Precision Mechanical Measurements, 2008, Anhui, China
Abstract
A method of determining 3D position based on vanishing-point theorem in perspective picture was developed and tested. Proposed an iterative method that using fastest descent arithmetic to calculate the non-linear parameter and implemented the non-linear calibration to system. In order to get the accurate position of vanishing-point, a sub-pixel self-adapting recursion arithmetic was presented, that makes the originality numeric image defined in integral pixel position obtain continuous mapping in rational number field. A experiment of determination 3D position with a cub showed, the position precision can effectively improved by using the sub-pixel self-adapt recursion arithmetic in the non-linear calibration method based on vanishing-point, and part of a plaster module of a person's head also been measured with this method and the vivid result of reconstruction shows the measurement can be used in free curved surface.
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Shujie Pan, Shouping Dong, Honglian Ma, and Hongli Wang "3D measurement based on vanishing point theorem", Proc. SPIE 7130, Fourth International Symposium on Precision Mechanical Measurements, 71303O (31 December 2008); https://doi.org/10.1117/12.819691
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KEYWORDS
Calibration

Distortion

3D metrology

Cameras

Image compression

3D vision

Iterative methods

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