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Related Experiment Video

Updated: May 21, 2026

Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture

Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture

Published on: February 23, 2018

Path-independent phase unwrapping using phase gradient and total-variation (TV) denoising.

Howard Y H Huang¹, L Tian, Z Zhang

¹Singapore-MIT Alliance for Research and Technology (SMART) Centre, Singapore 117543, Singapore. ngeehao@gmail.com

|June 21, 2012

Summary

This study introduces a novel path-independent phase unwrapping method for interferometry. It effectively removes noise by denoising the unwrapped phase gradient, improving accuracy in shearography and electronic speckle pattern interferometry.

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Area of Science:

Optical Metrology
Image Processing
Interferometry

Background:

Phase unwrapping is critical for interferometric techniques but is hindered by noise.
Existing path-following methods struggle with noisy data and erroneous pixels.

Purpose of the Study:

To propose a novel path-independent phase unwrapping method.
To overcome limitations of traditional path-following techniques in noisy environments.

Main Methods:

Determining the unwrapped phase gradient from the wrapped phase.
Denoising the gradient using Total Variation (TV) minimization.
Integrating the denoised gradient to obtain an approximate unwrapped phase.
Reconstructing the final phase map by adding low-order modes.

Main Results:

The method effectively separates the smooth phase gradient from amplified noise.
Demonstrated capability on numerical data and experimental shearography/ESPI data.
Achieved accurate phase unwrapping in the presence of noise.

Conclusions:

The proposed path-independent method offers a robust alternative for phase unwrapping.
It is particularly suitable for phase maps without abrupt changes.
Validated effectiveness in real-world interferometric applications.