Journal ArticleDOI
Reliability-guided phase-unwrapping algorithm for the measurement of discontinuous three-dimensional objects
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TLDR
A new phase-unwrapping method that merges the residue check principle and a Laplace phase derivative variance quality map that was developed and successfully completed was proposed.Abstract:
Accurate and robust phase unwrapping is an important procedure for three dimensional (3D) profilometry measurement. The mask cut phase-unwrapping algorithm merges the characteristics of Goldstein's branch cut and reliability-guided path-following algorithms, so that it has higher accuracy and stability. However, it cannot handle discontinuous phase regions because it completely relies on the phase quality map to guide the placement of mask cuts, thereby easily causing phase error propagation. To overcome these drawbacks, we propose a new phase-unwrapping method that merges the residue check principle and a Laplace phase derivative variance quality map that we developed. First, the entire phase was divided into several isolated regions in accordance with the quality map. Then, each pixel of the absolute phase marker line was taken as the starting point to unwrap the discontinuous phase regions based on reliability guidance. In addition, a new list-trimming algorithm was employed to guarantee a speedy phase-unwrapping procedure. The entire phase unwrapping and accurate 3D measurement of discontinuous objects was successfully completed. The simulated and experimental data both demonstrate the validity of the proposed phase-unwrapping algorithm.read more
Citations
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Journal ArticleDOI
Temporal phase unwrapping for fringe projection profilometry aided by recursion of Chebyshev polynomials
Shuo Xing,Hongwei Guo +1 more
TL;DR: This paper presents a temporal phase-unwrapping method for fringe projection profilometry that deduce an algorithm by use of the recursive property of Chebyshev polynomials, combined with a correction operation in the least-squares sense, that allows to accurately estimate the fringe orders in the presence of noise.
Journal ArticleDOI
Automated approach for the surface profile measurement of moving objects based on PSP.
TL;DR: A new method to automatically measure the 3D shape of the rigid object with arbitrary 2D movement is proposed and a least-square algorithm is applied to retrieve the correct phase value.
Journal ArticleDOI
Integration of robust filters and phase unwrapping algorithms for image reconstruction of objects containing height discontinuities.
Jing-Feng Weng,Yu-Lung Lo +1 more
TL;DR: Two robust filters are proposed for improving the performance of the phase unwrapping process for objects with height discontinuities, and the three reconstruction paths provide a robust and precise reconstruction performance given appropriate values of the parameters used in the detection scheme and filters.
Journal ArticleDOI
Temporal phase unwrapping using orthographic projection
TL;DR: The proposed unwrapping method is based on the orthographic projection of wrapped phases from the measurement space to the space of co-dimension 1, where all unknown integer period-order numbers are computed simultaneously using a nearest-neighbor search on a fixed constellation of points.
Journal ArticleDOI
Two-Digit Phase-Coding Strategy for Fringe Projection Profilometry
TL;DR: A two-digit phase-coding (TDPC) strategy, in which each fringe of the sinusoidal phase-shifting patterns corresponds to a two- digit codeword encoded in the phase- coding patterns, so that more codewords can be generated without increasing additional patterns.
References
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Journal ArticleDOI
Satellite radar interferometry: Two-dimensional phase unwrapping
TL;DR: In this paper, an approach to 'unwrapping' the 2 pi ambiguities in the two-dimensional data set is presented, where it is found that noise and geometrical radar layover corrupt measurements locally, and these local errors can propagate to form global phase errors that affect the entire image.
Book
Two-Dimensional Phase Unwrapping: Theory, Algorithms, and Software
Dennis C. Ghiglia,Mark D. Pritt +1 more
TL;DR: Methods for Phase Unwrapping, Phase Data, Quality Maps, Masks, and Filters, and Minimum-Norm Methods.
Journal ArticleDOI
The Shannon sampling theorem—Its various extensions and applications: A tutorial review
TL;DR: In this paper, the authors present the various contributions made for the sampling theorems with the necessary mathematical details to make it self-contained, including sampling for functions of more than one variable, random processes, nonuniform sampling, nonband-limited functions, implicit sampling, sampling with the function and its derivatives as suggested by Shannon in his original paper, and sampling for general integral transforms.
Journal ArticleDOI
Overview of three-dimensional shape measurement using optical methods
TL;DR: An overview of 3-D shape measurement using various optical methods, and a focus on structured light tech- niques where various optical configurations, image acquisition technology, data postprocessing and analysis methods and advantages and limitations are presented.
Journal ArticleDOI
Fast two-dimensional phase-unwrapping algorithm based on sorting by reliability following a noncontinuous path.
TL;DR: This work describes what is to the authors' knowledge a novel technique for phase unwrapping that uses a different type of reliability function and does not follow a continuous path to perform the unwrapped operation.