Three-dimensional shape measurement with an arbitrarily arranged fringe projection profilometry system

Area of Science:

• Optics and Photonics
• Metrology
• Computer Vision

Background:

• Fringe projection profilometry (FPP) is a key technique for 3D shape measurement.
• Traditional FPP systems often require precise calibration and specific experimental setups.
• Arbitrary arrangement of system components can complicate accurate 3D reconstruction.

Purpose of the Study:

• To develop a mathematical description for absolute out-of-plane height distribution in FPP with arbitrary component arrangement.
• To propose an algorithm for determining necessary parameters for accurate 3D shape determination.
• To enable high-accuracy 3D measurements without rigid setup constraints.

Main Methods:

• Development of a novel mathematical model for height distribution.
• Design of an algorithm to extract system parameters from fringe patterns.
• Validation through computer simulations and experimental verification.

Main Results:

• The proposed mathematical description accurately models height distribution.
• The algorithm successfully determines parameters for arbitrary system configurations.
• High measurement accuracy was achieved with flexible component positioning.

Conclusions:

• The presented technique offers a robust and flexible approach to 3D shape measurement using FPP.
• It significantly reduces calibration complexity and setup requirements.
• The method is validated for practical applications demanding high accuracy and adaptability.