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Weak Calibration

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Computer Vision

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Synonyms

Projective calibration

Related Concepts

Definition

When we have multiple cameras and their camera matrices are not fully known but have been obtained up to an ambiguity represented by a single projective transformation, these cameras are said to be weakly calibrated, and the ambiguity is called a projective ambiguity. Also, obtaining camera matrices up to the projective ambiguity is called weak calibration.

Theory

Let us consider N 3D points Xi (i = 1, ⋯ , N), which are projected to M cameras as xji (i = 1, ⋯ , N;j = 1, ⋯ , M). If there is no nonlinear distortion of the second order or higher in this projection, the projection can be represented by M 3 × 4 matrices Pj (j = 1, ⋯ , M) as follows:

$$\displaystyle \begin{aligned} \begin{array}{rcl} {\mathbf{x}}_{ji} = {\mathbf{P}}_j{\mathbf{X}}_i \end{array} \end{aligned} $$
(1)

where xji and Xiare represented in homogeneous...

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Author information

Authors and Affiliations

  1. Department of Computer Science and Engineering, Nagoya Institute of Technology, Nagoya, Japan

    Jun Sato

Authors
  1. Jun Sato
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Corresponding author

Correspondence to Jun Sato .

Section Editor information

  1. Department of Computer Science and Engineering, Nagoya Institute of Technology, Nagoya, Japan

    Jun Sato

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Sato, J. (2020). Weak Calibration. In: Computer Vision. Springer, Cham. https://doi.org/10.1007/978-3-030-03243-2_851-1

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  • DOI: https://doi.org/10.1007/978-3-030-03243-2_851-1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-03243-2

  • Online ISBN: 978-3-030-03243-2

  • eBook Packages: Springer Reference Computer SciencesReference Module Computer Science and Engineering

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