Image aberrations in optical three-dimensional measurement systems with fringe projection

Area of Science:

• Optical Engineering
• Metrology
• Computer Vision

Background:

• Optical shape measurement systems are susceptible to systematic errors caused by imaging aberrations in camera and projector lens assemblies.
• These aberrations can significantly impact the accuracy of 3D measurements.

Purpose of the Study:

• To develop a mathematical framework for correcting systematic errors caused by lens aberrations in optical shape measurement.
• To introduce novel terms and algorithms for improved accuracy in close-range and telecentric applications.

Main Methods:

• Application of photogrammetry principles to one- and two-dimensional fringe projection techniques.
• Development of new terms for close-range and telecentric optical systems.
• Introduction of a distance-dependent correction algorithm.
• Implementation of an optimization-based method for determining aberration coefficients.

Main Results:

• A mathematical description enabling correction of the entire measurement area using a few independent coefficients.
• Validated methods for aberration coefficient determination and distance-dependent error correction.
• Enhanced accuracy in optical shape measurements, particularly for close-range applications.

Conclusions:

• The proposed methods effectively correct systematic errors arising from lens aberrations in optical shape measurement.
• The study provides a robust framework for improving the precision of 3D measurements using fringe projection techniques.