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Accurate two-step random phase retrieval approach without pre-filtering based on hyper ellipse fitting.

Ziwen Li, Hubing Du, Leijie Feng

|November 22, 2024

Summary

This summary is machine-generated.

We introduce a novel hyper ellipse fitting algorithm for accurate phase retrieval. This two-frame method enhances precision by refining background light without complex iterations or pre-filtering.

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Area of Science:

Optical metrology
Image processing
Phase retrieval algorithms

Background:

Accurate phase retrieval is crucial for quantitative phase imaging.
Traditional methods often require multiple frames and can be sensitive to background noise.
Existing algorithms may involve complex iterations or pre-filtering steps.

Purpose of the Study:

To develop a high-precision, two-frame phase shifting algorithm for improved phase retrieval accuracy.
To mitigate residual background noise effectively.
To offer a simple, flexible, and accurate phase retrieval solution.

Main Methods:

A novel hyper ellipse fitting approach combined with Gram-Schmidt orthonormalization.
Construction of quadrature fringe patterns.
Reconstruction of phase maps and refinement of background light using hyper ellipse fitting.

Main Results:

Significantly improved demodulation results in various scenarios.
Effective mitigation of residual background without least squares iteration or pre-filtering.
Accurate phase estimation through weighted least squares and parameter adjustment.

Conclusions:

The proposed hyper ellipse fitting algorithm provides a simple, flexible, and accurate method for phase retrieval.
It offers a two-shot phase reconstruction capability, enhancing efficiency.
The method demonstrates superior performance in handling background noise and improving phase estimation accuracy.