Definition
Triangulation is a measurement method that estimates the position of an unknown 3D point. When the positions of two vertices of a triangle are known, the position of the remaining vertex can be computed if the interior angles at these two vertices are known.
In computer vision, stereo reconstruction and active 3D measurement are achieved by using the triangulation.
Background
The origin of triangulation dates back to the ancient Egyptian era of 3000 BC and is said to have been invented to re-measure land divisions after the frequent occurrences of the overflow of the Nile. Since then, triangulation has been used for measuring land, buildings, distances to stars, etc.
Theory
The triangulation measures unknown distances without measuring the distances directly.
Suppose we have a triangle ABC as shown in Fig. 1, and the positions of vertex B and vertex Care...
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Sato, J. (2020). Triangulation. In: Computer Vision. Springer, Cham. https://doi.org/10.1007/978-3-030-03243-2_854-1
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DOI: https://doi.org/10.1007/978-3-030-03243-2_854-1
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