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Published on: February 29, 2012
Color encoding of binary fringes for gamma correction in 3-D profiling
Gastón A Ayubi1, J Matías Di Martino, Julia R Alonso
1Instituto de Física, Facultad de Ingeniería, UdelaR, J. Herrera y Reissig 565, Montevideo, Uruguay. ayubi@fing.edu.uy
Optics Letters
|April 20, 2012
Summary
This study introduces a novel fringe generation technique to overcome distortions in 3D profiling. The method ensures reliable 3D surface measurements using phase-shifting interferometry (PSI) algorithms.
Area of Science:
- Optics and Photonics
- Metrology
- Computer Vision
Background:
- Nonlinear camera and projector responses distort 3D profiling using sinusoidal fringe projection and PSI algorithms.
- Accurate 3D surface reconstruction is crucial in various scientific and industrial applications.
Purpose of the Study:
- To develop a robust fringe generation technique that mitigates distortions caused by nonlinearities in optical systems.
- To enable reliable 3D profiling with phase-shifting interferometry (PSI) algorithms.
Main Methods:
- A novel fringe generation technique projecting and acquiring a temporal sequence of strictly binary color patterns.
- Utilizing the adequately weighted average of binary patterns to create accurate sinusoidal fringe patterns.
- Implementing PSI algorithms on the generated sinusoidal patterns for 3D profile extraction.
Main Results:
- Successfully generated high-quality sinusoidal fringe patterns by averaging binary patterns.
- Demonstrated mitigation of distortions caused by nonlinear camera and projector responses.
- Achieved reliable and accurate three-dimensional surface profiling.
Conclusions:
- The proposed fringe generation technique effectively overcomes nonlinear distortions in 3D profiling.
- This method enhances the reliability and accuracy of PSI-based 3D measurements.
- The technique offers a practical solution for precise 3D surface reconstruction.

