Analysis of the relationship between fringe angle and three-dimensional profilometry system sensitivity

Area of Science:

• Optics and Photonics
• Computer Vision
• Metrology

Background:

• Three-dimensional (3D) profilometry systems are crucial for capturing object geometry.
• The relationship between projector-camera baseline and fringe pattern phase variation is a key, yet often overlooked, characteristic.
• Understanding this relationship is essential for optimizing 3D measurement accuracy.

Purpose of the Study:

• To investigate the influence of fringe pattern phase variation direction relative to the projector-camera baseline on 3D profilometry sensitivity.
• To determine the optimal configuration for maximizing sensitivity to object depth changes.
• To propose an efficient method for achieving this optimal sensitivity.

Main Methods:

• Analysis of 3D profilometry systems based on triangulation and stereovision principles.
• Theoretical examination of the relationship between baseline orientation and phase variation direction.
• Development and application of a method involving projecting fringe patterns with varying phase directions.

Main Results:

• The study demonstrates that 3D profilometry systems achieve maximum sensitivity to object depth variations when the fringe pattern phase variation direction is parallel to the projector-camera baseline.
• Experimental validation confirms the theoretical analysis.
• The proposed method effectively determines the optimal fringe projection strategy.

Conclusions:

• The orientation of fringe patterns relative to the projector-camera baseline is a critical factor in 3D profilometry.
• Aligning fringe phase variation parallel to the baseline significantly enhances sensitivity to depth changes.
• The proposed method provides an efficient way to optimize 3D profilometry systems for maximum accuracy.