Key concepts for phase-to-coordinate conversion in fringe projection systems.

Area of Science:

• Optics and Photonics
• Computer Vision
• Metrology

Background:

• Fringe projection systems capture object shape as phase data.
• Converting phase data to physical coordinates is crucial for 3D reconstruction.
• Existing methods may lack flexibility for complex system configurations.

Purpose of the Study:

• To formalize the theoretical principles for phase-to-coordinate conversion.
• To propose an efficient and generalized conversion algorithm.
• To support arbitrary arrangements of multiple cameras and projectors.

Main Methods:

• Formalizing concepts: cameras/projectors as direction sensors, gratings as coordinate encoders, absolute phase, and triangulation.
• Developing a generalized phase-to-coordinate conversion algorithm.
• Implementing and validating the method in a 3D surface imaging experiment.

Main Results:

• The proposed algorithm successfully converts phase distribution to object surface coordinates.
• The method demonstrates accuracy and efficiency in 3D surface imaging.
• The approach supports complex systems with multiple, arbitrarily arranged cameras and projectors.

Conclusions:

• The formalized principles provide a robust foundation for phase-to-coordinate conversion.
• The generalized algorithm offers a flexible solution for diverse fringe projection setups.
• This work advances the field of 3D surface imaging with enhanced accuracy and adaptability.