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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2008 Springer
About this chapter
Cite this chapter
(2008). Vanishing Points. In: From Gestalt Theory to Image Analysis. Interdisciplinary Applied Mathematics, vol 34. Springer, New York, NY. https://doi.org/10.1007/978-0-387-74378-3_8
Download citation
DOI: https://doi.org/10.1007/978-0-387-74378-3_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-72635-9
Online ISBN: 978-0-387-74378-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)