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Vanishing Points

Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 34)

Sets of parallel lines in 3-D space are projected into a 2-D image to a set of concurrent lines. The meeting point of these lines in the image plane is called a vanishing point. It can belong to the line at infinity of the image when the 3-D lines are parallel to the image plane. Even though concurrence in the image plane does not necessarily imply parallelism in 3-D, the counterexamples for this implication are rare in real images. Thus, the problem of grouping sets of parallel lines in 3-D is reduced to finding significant sets of concurrent lines in the image plane.

In this chapter we will explain how vanishing points can be reliably and automatically detected with a low number of false alarms (NFA) and a high precision level without using any a priori information on the image or calibration parameters and without any parameter tuning. On the contrary, a vanishing point detector can be used to determine some calibration parameters of the camera or for other applications such as single-view metrology.

Keywords

False Alarm Exclusion Principle Image Domain Precision Level Bibliographic Note 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer 2008

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