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Related Experiment Video

Updated: Jun 1, 2026

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

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

Published on: December 3, 2013

Phase error compensation for three-dimensional shape measurement with projector defocusing.

Ying Xu¹, Laura Ekstrand, Junfei Dai

¹Department of Mechanical Engineering, Iowa State University, Ames, Iowa 50011, USA.

|June 16, 2011

Summary

This summary is machine-generated.

This study addresses phase errors in 3D shape measurement using projector defocusing. A new mathematical function corrects errors across various depths, improving measurement accuracy for complex objects.

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Area of Science:

Optical Metrology
3D Shape Measurement
Image Processing

Background:

Projector defocusing techniques generate sinusoidal patterns for 3D shape measurement.
Binary structured patterns, when defocused, can lead to significant phase errors in certain depth ranges.
Existing methods may struggle with accuracy when defocused patterns retain binary characteristics.

Purpose of the Study:

To analyze phase errors in a 3D shape measurement system employing projector defocusing.
To investigate the impact of depth on defocused fringe patterns, from near-binary to near-sinusoidal.
To develop and validate a mathematical function for phase error compensation.

Main Methods:

Experimental study of defocused fringe patterns across a wide depth range.
Analysis of phase errors as a function of wrapped phase and object depth (z).
Development of a mathematical phase error function.
Calibration and application of the function for error compensation.

Main Results:

Phase errors were systematically analyzed for defocused fringe patterns.
A mathematical function relating phase error to wrapped phase and depth was established.
The calibrated function successfully compensated for phase errors within the calibration volume.
Experimental results demonstrated the effectiveness of the proposed compensation technique.

Conclusions:

The developed mathematical function accurately models phase errors in projector defocusing-based 3D shape measurement.
Phase error compensation is feasible and effective across arbitrary depth ranges within the calibrated volume.
This technique enhances the accuracy and reliability of 3D shape measurement systems using projector defocusing.