Total variation regularization cost function for demodulating phase discontinuities.

Area of Science:

• Optics and Photonics
• Image Processing
• Computational Science

Background:

• Fringe patterns are crucial in optical metrology for measuring surface topography and deformations.
• Accurate computation of phase maps from fringe patterns is essential for quantitative analysis.
• Existing methods may struggle with discontinuities or noise in fringe data.

Purpose of the Study:

• To develop a robust computational method for deriving discontinuous phase maps from fringe patterns.
• To leverage total variation regularization for improved phase map reconstruction.
• To validate the proposed method using both synthetic and real-world fringe data.

Main Methods:

• A novel approach based on minimizing a total variation regularization cost function is proposed.
• The method formulates phase map computation as an optimization problem.
• Numerical simulations and experiments with real fringe data were conducted for performance evaluation.

Main Results:

• The proposed method successfully computes discontinuous phase maps from fringe patterns.
• Numerical experiments demonstrated the effectiveness and accuracy of the technique.
• The method showed reliable performance on both synthetic and real experimental data.

Conclusions:

• Minimizing total variation regularization provides an effective strategy for discontinuous phase map computation.
• The developed method offers a reliable tool for fringe pattern analysis in various applications.
• This approach enhances the accuracy and robustness of phase retrieval from optical measurements.