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NMR Spectrometers: Resolution and Error Correction

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When magnetic nuclei in a sample achieve resonance and undergo relaxation, the signal detected in NMR is an approximately exponential free induction decay. Fourier transform of an exponential decay yields a Lorentzian peak in the frequency domain. Lorentzian peaks in an NMR spectrum are defined by their amplitude, full width at half maximum, and position, where the peak width is governed by the spin-spin relaxation time alone. In real experiments, however, the applied magnetic field is rendered...

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High-resolution, High-speed, Three-dimensional Video Imaging with Digital Fringe Projection Techniques

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Generic saturation-induced phase error correction for structured light 3D shape measurement.

Ji Tan, Wenqing Su, Zhaoshui He

|July 15, 2022

Summary

This summary is machine-generated.

This study introduces a fast, efficient method to correct phase errors caused by intensity saturation in 3D shape measurement. The technique enables high dynamic range (HDR) 3D imaging without sacrificing speed, crucial for dynamic applications.

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Area of Science:

Optical Metrology
3D Imaging Systems
Computational Optics

Background:

Intensity saturation poses a significant challenge in structured light 3D shape measurement.
Current high dynamic range (HDR) measurement techniques often compromise speed, limiting their use in dynamic scenarios.

Purpose of the Study:

To develop an efficient, generic method for correcting saturation-induced phase errors in HDR 3D shape measurement.
To enable high-speed dynamic 3D measurements without additional fringe patterns or increased acquisition time.

Main Methods:

Theoretical analysis of the saturated signal model to understand saturation-induced phase errors.
Development of a correction method utilizing joint Fourier analysis and Hilbert transform.
Numerical simulations to establish the relationship between phase error, saturation degree, and phase-shifting steps.

Main Results:

The proposed method effectively corrects phase errors caused by intensity saturation.
It achieves HDR measurement without sacrificing measurement speed.
The method requires no extra captured images or complex intensity calibration.

Conclusions:

The developed saturation-induced phase error correction method is efficient and convenient for implementation.
It is applicable to high-speed 3D shape measurements, overcoming limitations of existing techniques.
Simulations and experimental results confirm the method's feasibility and effectiveness.