Calibration of a Catadioptric System and 3D Reconstruction Based on Surface Structured Light

Area of Science:

• Computer Vision
• Optical Engineering
• Metrology

Background:

• Traditional 3D reconstruction methods often suffer from limited fields of view, hindering comprehensive scene capture.
• Catadioptric cameras offer a wider field of view but require complex calibration for accurate 3D reconstruction.
• Integrating projectors with cameras is crucial for structured light-based 3D measurement systems.

Purpose of the Study:

• To develop and validate a 3D reconstruction system that addresses the field-of-view limitations inherent in traditional methods.
• To establish a robust calibration procedure for a combined catadioptric camera and projector system.
• To achieve high geometric reconstruction accuracy for 3D objects using structured light.

Main Methods:

• A catadioptric camera and projector system was designed, incorporating a traditional camera for calibration.
• Intrinsic parameters of both the catadioptric camera and the traditional camera were calibrated independently.
• A coordinate system was established to determine the relative positions of the catadioptric camera and projector, enabling system calibration.
• Structured light fringes were projected and captured by the catadioptric camera for 3D reconstruction.

Main Results:

• The proposed calibration method accurately determined the intrinsic parameters and spatial relationship between the camera and projector.
• Experimental validation on a 1-meter target yielded a reconstruction error of 0.75 mm and a relative error of 0.0068.
• The system demonstrated its capability for precise 3D geometric reconstruction.

Conclusions:

• The developed calibration and 3D reconstruction methods effectively overcome the field-of-view limitations of traditional systems.
• The proposed system guarantees ideal geometric reconstruction accuracy, making it suitable for precise 3D measurements.
• This approach offers a viable solution for applications requiring wide-angle, high-accuracy 3D reconstruction.