Global calibration of multiple cameras based on sphere targets

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Abstract

Global calibration methods for multi-camera system are critical to the accuracy of vision measurement. Proposed in this paper is such a method based on several groups of sphere targets and a precision auxiliary camera. Each camera to be calibrated observes a group of spheres (at least three), while the auxiliary camera observes all the spheres. The global calibration can be achieved after each camera reconstructs the sphere centers in its field of view. In the process of reconstructing a sphere center, a parameter equation is used to describe the sphere projection model. Theoretical analysis and computer simulation are carried out to analyze the factors that affect the calibration accuracy. Simulation results show that the parameter equation can largely improve the reconstruction accuracy. In the experiments, a two-camera system calibrated by our method is used to measure a distance about 578 mm, and the root mean squared error is within 0.14 mm. Furthermore, the experiments indicate that the method has simple operation and good flexibility, especially for the onsite multiple cameras without common field of view.

Figures

  • Figure 1. The principle of global calibration. Figure 1. The princi f global calibration.
  • Figure 2. The sphere projection model.
  • Figure 3. The sphere centers matching method.
  • Figure 4. The effects of several major factors on the reconstruction error. (a) The noise level of image points; (b) The sphere radius; (c) The number of sampling points; (d) The distance between the sphere and camera; (e) Multiple images and a single image.
  • Figure 5. The effects of nonlinear optimization on the calibration accuracy. (a) The effects on the rotation vector; (b) The effects on the translation vector.
  • Figure 6. The experiment of sphere center distance measurement. (a) The positions and serial numbers of the targets; (b) A sample image for distance measurement.
  • Figure 6. The experiment of sphere center distance measurement. (a) The positions and serial numbers of the targets; (b) A sample image for distance measurement.
  • Figure 7. The global calibration experiment. (a) the physical system; (b) serial numbers of the targets viewed by the left camera; (c) serial numbers of the targets viewed by the right camera.

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CITATION STYLE

APA

Sun, J., He, H., & Zeng, D. (2016). Global calibration of multiple cameras based on sphere targets. Sensors (Switzerland), 16(1). https://doi.org/10.3390/s16010077

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