Variable mesh optimization applied to fringe pattern demodulation using a Bézier surface

Area of Science:

• Optics and Photonics
• Computational Imaging
• Image Processing

Background:

• Fringe pattern analysis is crucial for quantitative phase imaging.
• Existing demodulation methods struggle with complex fringe patterns (open/closed fringes).
• Accurate phase map approximation is essential for reliable measurements.

Purpose of the Study:

• To present a novel parametric method for complex fringe pattern demodulation.
• To introduce Bezier surface control points for phase map approximation.
• To implement Variable Mesh Optimization for enhanced performance.

Main Methods:

• A parallel demodulation algorithm forms the basis of the method.
• Bezier surface control points are utilized for phase map approximation.
• Variable Mesh Optimization, a population meta-heuristic, is employed for optimization.

Main Results:

• The proposed method significantly improves phase error.
• Reduced run times are achieved compared to other global optimization algorithms.
• Effective demodulation of both open and closed fringe patterns is demonstrated.

Conclusions:

• The novel parametric method offers superior performance in fringe pattern demodulation.
• Bezier surface approximation and Variable Mesh Optimization enhance accuracy and efficiency.
• This technique provides a robust solution for complex phase imaging challenges.