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Camera calibration based on the common pole-polar properties between two coplanar circles with various positions
Applied Optics
|June 17, 2020
Summary
This study simplifies computer vision camera calibration using coplanar circles. The method leverages pole-polar properties to accurately determine intrinsic camera parameters with just three images.
Area of Science:
- Computer Vision
- Geometric Calibration
- Robotics
Background:
- Traditional camera calibration methods often require complex setups or multiple views.
- Utilizing geometric properties of objects like circles offers a robust alternative for calibration.
Purpose of the Study:
- To develop an efficient camera calibration algorithm using coplanar circles.
- To leverage pole-polar properties for determining camera intrinsic parameters.
Main Methods:
- Algebraic analysis of two coplanar circles to identify common poles and polars.
- Application of pole-polar properties to derive the vanishing line.
- Solving for intrinsic camera parameters using image constraints of circular points and the absolute conic.
Main Results:
- Demonstrated that the common pole of two coplanar circles lies on the line at infinity.
- Established that the vanishing line can be derived from pole-polar properties.
- Showcased that camera calibration is achievable with only three images of two coplanar circles.
Conclusions:
- The proposed method offers an effective and simplified approach to camera calibration.
- The technique is verified through simulations and experimental results, confirming its practical applicability.
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