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Area of Science:

Optical Metrology
Precision Engineering
Image Processing

Background:

Laser interferometry is crucial for measuring gear tooth flank form deviation.
Limitations in lens depth of field cause focused and defocused regions in interferograms, leading to measurement errors.
Accurate evaluation of interferogram definition is essential for reliable metrology.

Purpose of the Study:

To develop a robust method for evaluating interferogram definition in laser-based gear metrology.
To address the challenges posed by gray gradients and fringe patterns in traditional definition evaluation algorithms.
To enhance the accuracy of gear tooth flank form deviation measurements.

Main Methods:

Proposed a novel method combining nonsubsampled contourlet transformation (NSCT) with fringe direction weighting coefficients.
Evaluated fringe direction information within interferograms.
Applied NSCT to decompose interferograms into multi-scale and multi-directional sub-images.
Developed an improved definition evaluation function utilizing NSCT outputs and directional information.

Main Results:

The proposed NSCT-based method effectively handles gray gradients and fringe complexities in interferograms.
Simulations and experimental results demonstrated the feasibility and accuracy of the new definition evaluation technique.
Significant reduction in measurement errors caused by defocused regions was observed.

Conclusions:

The NSCT combined with fringe direction weighting offers a superior approach for interferogram definition evaluation in gear metrology.
This method enhances the precision of form deviation measurements for gear tooth flanks.
The findings contribute to advancing accurate optical measurement techniques in engineering.