Holographic deformation measurements by Fourier transform technique with automatic phase unwrapping

Judge, J.; Quan, Chenggen; Bryanston-Cross, Peter John

doi:10.1117/12.56092

Cited by 55 publications

(23 citation statements)

References 11 publications

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“…The Fourier transform method of the fringe pattern analysis is successfully used for extracting phase information from fringe patterns caused by the interference of tilted wavefronts [12], [18], [19]. For the case of interference fringe pattern generated by the three PM fiber grid pattern generators, the arrangement of 3-D shape measuring system is described in Fig.…”

Section: Fourier Transform Methods Of Grid Pattern Analysismentioning

confidence: 99%

Fiber-Optic Grid Interferogram Shape Sensing System

Yuan

Liu

et al. 2008

IEEE Sensors J.

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Based on the three-fiber-optic grid interferogram technique, a shape sensing approach has been proposed and demonstrated in this paper. The square and hexagon grid interferometric fringe pattern formed by the fiber-optic interferometric grid generator has been designed and performed. The designing and realizing methods of the fiber-optic interferometric grid pattern by using three PM fibers are discussed. Theoretically, the three-fiber coherence optical field intensity distribution has been deduced. By using the 2-D Fourier transform methodology, the object surface can be reconstructed from the modulated fiber-optic grid interferogram pattern. The multiphase data fusion method has been used in our experiments, which greatly improved the accuracy of the 3-D shape measuring results.Index Terms-Fiber-optic grid interferogram, Fourier transform, optical fiber, shape sensing.

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Section: Fourier Transform Methods Of Grid Pattern Analysismentioning

confidence: 99%

Fiber-Optic Grid Interferogram Shape Sensing System

Yuan

Liu

et al. 2008

IEEE Sensors J.

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“…Among the path-dependent methods, a solution is to select from among all possible paths by using amplitude [43] or phase gradient [44,45] information to increase confidence in the unwrapping path. A statistical approach for path selection using genetic algorithms have also been proposed recently [46].…”

Section: Spatial Approachmentioning

confidence: 99%

Fringe Analysis

Surrel¹

2000

Topics in Applied Physics

104

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Abstract. Fringe analysis is the process of extracting quantitative measurement data from fringe -or line -patterns. It usually consists of phase detection and phase unwrapping. Phase detection is the calculation of the fringes phase from the recorded intensity patterns, and this issue represents the major part of the material in this review. Different techniques for this phase calculation are presented, with special emphasis on the characteristic polynomial method, allows us permits to easily design customized algorithms coping with many error sources. For reference, a table presenting the properties of almost all algorithms which have been in recent years is provided in the Appendix. A generic method allowing us to quantitatively evaluate the phase errors and the effect of noise is presented here for the first time. Finally, some elements regarding the complex problem of phase unwrapping are given.

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“…2 The task of the defect-robust phase-unwrapping algorithms is to choose one particular solution of a quasicontinuous phase map out of many other possible solutions ͑which also give the same wrapped phase map͒ on the basis of a certain measure of validity of the solutions. For example, the cutline method by Goldstein et al 3 and Huntley 4 adopts the overall length of the cut lines as a ͑negative͒ measure of validity of the solutions, 5,6 while the minimum-spanningtree method by Towers et al, 7 Judge et al, 8 and Ching et al 9 or the pixel ordering method by Schoerner et al 10 uses phase gradients ͑defined by phase differences, modulo 2, between neighboring pixels͒ as a ͑negative͒ measure in the selection of a reliable unwrapping path. Another wellknown measure is fringe amplitudes or modulations, which provide information about the degree of confidence in the phase data.…”

Section: Introductionmentioning

confidence: 99%

Phase unwrapping by a maximum cross‐amplitude spanning tree algorithm: a comparative study

Takeda

Abe

1996

Opt. Eng

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A comparative study is made of phase-unwrapping algorithms that adopt either phase gradients or fringe amplitudes as a reliability measure in the selection of an unwrapping path. To compare with the minimum-phase-gradient spanning-tree algorithm, a maximum cross-amplitude spanning-tree algorithm is proposed, which seeks a spanning tree that maximizes overall edge weights given by the crossamplitudes, i.e., the products of the fringe amplitudes of neighboring pixels. Noise immunity of the cross-amplitude spanning-tree algorithm is demonstrated by experiment and computer simulation. © 1996 Society of Photo-Optical Instrumentation Engineers.

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Holographic deformation measurements by Fourier transform technique with automatic phase unwrapping

Cited by 55 publications

References 11 publications

Fiber-Optic Grid Interferogram Shape Sensing System

Fiber-Optic Grid Interferogram Shape Sensing System

Fringe Analysis

Phase unwrapping by a maximum cross‐amplitude spanning tree algorithm: a comparative study

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