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A Multimodal Wide-Field Fourier-Transform Raman Microscope

A Multimodal Wide-Field Fourier-Transform Raman Microscope

Published on: December 30, 2025

Universal calculation formula and calibration method in Fourier transform profilometry.

Yongfu Wen¹, Sikun Li, Haobo Cheng

¹School of Optoelectronics, Beijing Institute of Technology, Beijing 100081, China.

|December 3, 2010

Summary

This summary is machine-generated.

A new universal formula for Fourier transform profilometry offers flexible 3D measurements. This method simplifies calibration, improving accuracy and speed for precise object shape reconstruction.

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Area of Science:

Optical Metrology
3D Reconstruction
Computational Imaging

Background:

Fourier transform profilometry (FTP) is a key technique for 3D shape measurement.
Existing FTP methods often require constrained experimental setups.
Accurate phase-to-height mapping is crucial for reliable 3D reconstruction.

Purpose of the Study:

To develop a universal calculation formula for Fourier transform profilometry.
To establish a flexible phase-height calibration method for arbitrary experimental setups.
To validate the proposed method through simulation and experimental measurements.

Main Methods:

Theoretical analysis of phase-height mapping in FTP.
Development of a universal calculation formula for arbitrary projector-camera configurations.
Implementation of a direct phase-height calibration method avoiding system parameter measurement.
Experimental validation using a 22.00 mm object.

Main Results:

A universal calculation formula for FTP was derived and validated.
The proposed calibration method simplifies system manipulation and enhances measurement velocity.
Experimental measurement of a 22.00 mm object yielded a low relative error of 0.59%.
The system demonstrated excellent universality for 3D shape reconstruction.

Conclusions:

The universal formula and calibration method enable flexible and accurate 3D measurements.
The proposed approach significantly improves the ease of use and efficiency of FTP systems.
The method is highly effective for precise three-dimensional shape reconstruction of objects.