Phase Retrieval Errors Analysis of Interferogram Using Two Dimensional Fast Fourier Transform Method

Min, 张敏 Zhang; Feng, 唐锋 Tang; Xiangzhao, 王向朝 Wang; Fengzhao, 戴凤钊 Dai

doi:10.3788/cjl201340.0308002

Cited by 3 publications

(3 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…3 In practice, the valid area of data is mostly circular, annular, or sometimes irregular owing to the occlusion of the lens, and the Gibbs effect is introduced owing to boundary truncation, i.e., the so-called edge effect. 4 Extending or extrapolating interferograms is the most direct solution for correcting the Gibbs effect, [5][6][7][8][9][10][11] and there are several proposed extrapolation methods in the current research literature. The symmetric inversion extrapolation method is the oldest method 12 and it extrapolates by inverting the data along the boundary.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Fast exemplar-based fringe extrapolation technology

2023

View full text Add to dashboard Cite

.When using the Fourier transform method to demodulate the phase from an interferogram, the Gibbs effect often occurs at the edge of the phase picture. Fringe extrapolation is a straightforward method to suppress the Gibbs effect. Currently, many algorithms are used in fringe extrapolation, and exemplar-based methods are one such alternative. However, the traditional exemplar-based algorithm is based on the Criminisi algorithm, which is extremely time-consuming. In this study, the structure-guided image-completion method was applied to interferogram extrapolation. Simulations and experiments show that the new method reduces computer memory requirements and saves computing time. Compared with extrapolation using the Criminisi algorithm, the speed can be increased by tens or even hundreds of times.

show abstract

Section: Introductionmentioning

confidence: 99%

“…Examples include the FT method 2 and the digital moiré interferometry technique (DMIT) 3 . In practice, the valid area of data is mostly circular, annular, or sometimes irregular owing to the occlusion of the lens, and the Gibbs effect is introduced owing to boundary truncation, i.e., the so-called edge effect 4 …”

Section: Introductionmentioning

confidence: 99%

Fast exemplar-based fringe extrapolation technology

2023

View full text Add to dashboard Cite

show abstract

“…Among various spatial phase unwrapping algorithms, they can be classified as phase shift method (requires multiple fringe patterns) [7]- [9] and single fringe retrieval methods [9]- [12].…”

Section: Introductionmentioning

confidence: 99%

Under-Sampled Phase Retrieval of Single Interference Fringe Based on Hilbert Transform

2019

View full text Add to dashboard Cite

Phase retrieval from single interference fringe is important and effective method in obtaining the real phase distribution. The original phase can be retrieved by the line integral of its gradient expressed as sine and cosine components, which were gained by the Hilbert transform twice from a single interference fringe pattern. However, this method fails when the phase transformation of the interference fringe is too fast. In this paper, a novel method to recover the continuous phase of the whole field is proposed to solve the above problems. The shear interference technique is introduced into the phase retrieval method to build an exponential 2-D complex light field of natural base for the phase slope obtained by the Hilbert transform. Then, the expressions of phase slopes in x-and y-directions are constructed as a discrete Poisson equation. Therefore, the calculation of phase retrieval is equivalent to solve the discrete Poisson equation mathematically. Finally, the real phase is gotten by the weighted discrete cosine transform (WDCT) of the discrete Poisson equation. The simulation results verify the validity of this method and show that the proposed method can achieve the phase retrieval of the phase discontinuity in x-and y-directions, which leads to the under-sampled problem. It can restore the whole field phase distribution rapidly and accurately. Moreover, this method is applied to phase retrieval of interferometric synthetic aperture radar (InSAR) with the under-sampled problem in this paper. The experimental results show that this method can recover the phase of InSAR with the under-sampled problems caused by terrain abrupt change and so on. Compared with other commonly used methods, it achieved satisfactory results. This method provides a new idea for solving the under-sampled problem in the phase retrieval from a single-frame interference fringe.

show abstract