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1

Li, Miaoling, Hongxia Zhao, Lehua Qi, and Hejun Li. "Analysis Techniques of Lattice Fringe Images for Quantified Evaluation of Pyrocarbon by Chemical Vapor Infiltration." Microscopy and Microanalysis 20, no. 5 (July 22, 2014): 1591–600. http://dx.doi.org/10.1017/s143192761400169x.

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AbstractSome image analysis techniques are developed for simplifying lattice fringe images of deposited pyrocarbon in carbon/carbon composites by chemical vapor infiltration. They are mainly the object counting method for detecting the optimum threshold, the self-adaptive morphological filtering, the node-separation technique for breaking the aggregate fringes, and some post processing algorithms for reconstructing the fringes. The simplified fringes are the foundation for defining and extracting quantitative nanostructure parameters of pyrocarbon. The frequency filter window of a Fourier transform is defined as the circular band that retains only those fringes with interlayer distance between 0.3 and 0.45 nm. Some judge criteria are set to define topological relation between fringes. For example, the aspect ratio and area of fringes are employed to detect aggregate fringes. Fringe coaxality and distance between endpoints are used to judge the disconnected fringes. The optimum values are determined by using the iterative correction techniques. The best cut-off value for the short fringes is chosen only when there is a reasonable match between the mean fringe length and the value measured by X-ray diffraction. The adopted techniques have been verified to be feasible and to have the potential to convert the complex lattice fringe image to a set of distinct fringe structures.
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2

Tan, Zhangyun, Maxime Moreaud, Olivier Alata, and Abdourrahmane M. Atto. "ARFBF MORPHOLOGICAL ANALYSIS - APPLICATION TO THE DISCRIMINATION OF CATALYST ACTIVE PHASES." Image Analysis & Stereology 37, no. 1 (April 12, 2018): 21. http://dx.doi.org/10.5566/ias.1624.

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This paper addresses the characterization of spatial arrangements of fringes in catalysts imaged by High Resolution Transmission Electron Microscopy (HRTEM). It presents a statistical model-based approach for analyzing these fringes. The proposed approach involves Fractional Brownian Field (FBF) and 2-D AutoRegressive (AR) modeling, as well as morphological analysis. The originality of the approach consists in identifying the image background as an FBF, subtracting this background, modeling the residual by 2-D AR so as to capture fringe information and, finally, discriminating catalysts from fringe characterizations obtained by morphological analysis. The overall analysis is called ARFBF (Auto-Regressive Fractional Brownian Field) based morphology characterization.
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3

Huo, Fu Rong, He Li, Yu Hang Yang, Chang Xi Xue, and Wen Sheng Wang. "Imaging Analysis and Application of Digital Speckle Photography with EALCD." Applied Mechanics and Materials 333-335 (July 2013): 1007–12. http://dx.doi.org/10.4028/www.scientific.net/amm.333-335.1007.

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According to the principle of speckle photography, CCD(Charge-Coupled Device) as a recorder, and EALCD(Electrically Addressed Liquid Crystal Display) as a read-out element, which makes the speckle photography to digital. Recording light path of the subjective and the objective speckle and observation light path of full-field analysis and point-by-point analysis for fringe reconstruction have been respectively researched. At the same time, measuring by speckle photography, the fringes in the interometry pattern must be carefully analyzed. Since the speckle noise can greatly infect the signals. Thus to de-noising the speckle fringe by a suitable filter before processing is expected. The mathod of digital filter enhancement, smooth denoising be used to reduce the influence of the high noise and the inhomogeneous grey of the speckle interferogram. Finally the thinning fringe is acquired, the fringe spacing is extracted accurately, the three-dimensional measurement of a deformed object is realized with mathematical morphological thinning algorithm.
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4

Che, Hao, An Li, Jie Fang, Xi Chen, and Fang-Jun Qin. "Interference fringe fitting of atom gravimeter based on fitness particle swarm optimization." AIP Advances 12, no. 7 (July 1, 2022): 075211. http://dx.doi.org/10.1063/5.0096967.

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In the atom gravimeter, three Raman pulses are utilized to realize the interference of atom matter waves, and atom interference fringes are obtained by scanning the chirp rate of the Raman laser during the interference time. Previously, fringe data analysis methods used LS (Least Squares) to fit the cosine function of each interference fringe data to minimize the standard deviation between the estimated value and the observed value of each group of fringe data or the EKF (Extended Kalman Filter) method to obtain the estimation of the gravity value. In this paper, we propose a new method applied to the interference fringe fitting of the atom gravimeter, namely, through the FPSO (Fitness Particle Swarm Optimization) method to estimate the parameters of the interference fringe atom and then estimate the gravity value. First, the theoretical analysis and proof are carried out by using simulation data. On this basis, we carried out a gravity measurement experiment in the ship-mounted mooring state, which further verified the feasibility and effectiveness of the algorithm. The simulation and experimental results show that, compared with LS and EKF methods, the FPSO method can search the relatively optimal fitting parameters of atom interference fringes quickly and accurately and improve the accuracy and stability of the atom gravimeter measurement. It is feasible and effective to apply the FPSO method to fitting atom interference fringes. The FPSO method proposed in this paper can be used as a new method for fitting atom interference fringes, which provides a new idea and choice for accurate gravity measurement in a dynamic environment.
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5

Baeza-Yates, Ricardo A. "Fringe analysis revisited." ACM Computing Surveys 27, no. 1 (March 1995): 109–19. http://dx.doi.org/10.1145/214037.214103.

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6

McIntyre, Timothy J., and Alexis I. Bishop. "Fringe—A Java-based finite fringe analysis package." Computer Physics Communications 183, no. 9 (September 2012): 2014–18. http://dx.doi.org/10.1016/j.cpc.2012.04.011.

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7

Norton, M. Grant, and C. Barry Carter. "Analysis of moiré patterns in images of thin YBa2Cu3O7-δ films on MgO." Proceedings, annual meeting, Electron Microscopy Society of America 50, no. 1 (August 1992): 236–37. http://dx.doi.org/10.1017/s0424820100121582.

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Moiré fringes arise from the interference between diffracted beams from two overlapping crystals (double diffraction) and in the bright-field case the forward scattered beam. The fringe patterns act as magnifiers of lattice imperfections and small deviations from perfect crystallographic orientation and symmetry. Moiré patterns have been used previously to study, for example, the growth of metal films on substrates such as molybdenum disulfide—which can easily be prepared to electron transparency. Moiré patterns can be used to identify microstructural defects in epitactic deposits. For example, the presence of rotationally misaligned grains, the presence of dislocations, and residual interfacial strain will be revealed in the fringe pattern.
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8

Barry Carter, C., D. L. Medlin, Dov Cohen, and Geoffrey Campbell. "Stacking-Fault Fringes." Microscopy and Microanalysis 5, S2 (August 1999): 694–95. http://dx.doi.org/10.1017/s1431927600016792.

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Crystalline interfaces associated with lattice translations such as stacking-faults (SFs) and twin boundaries may be characterized in the transmission electron microscope (TEM) by oscillatory fringe contrast known as SF, or rigid-body-translation, fringes. Such fringe contrast is usually obtained using weak-beam bright-field (BF) or dark-field (DF) conditions with ideally only one reflection, g, excited. The nature of the SF contrast has been explained by dynamical theory of electron diffraction in terms of the Howie-Whelan equations [1]. The fringe contrast arises from an interference caused by a phase shift the diffracted electron beams, undergo upon propagating across the interface. The phase shift, α, is proportional to the projection of the translation vector, R, onto the diffraction vector, g (i.e. α # g.R). The direction of the translation state can be determined explicitly from the SF contrast in a manner analogous to the analysis of dislocation Burgers vector.An analysis of SF fringes with respect to diffraction theory permits the magnitude of the lattice translation to be evaluated in experimental images.
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9

Kakuda, Shinako, Rachel K. LoPilato, Atsuko Ito, and Robert S. Haltiwanger. "Canonical Notch ligands and Fringes have distinct effects on NOTCH1 and NOTCH2." Journal of Biological Chemistry 295, no. 43 (August 19, 2020): 14710–22. http://dx.doi.org/10.1074/jbc.ra120.014407.

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Notch signaling is a cellular pathway regulating cell-fate determination and adult tissue homeostasis. Little is known about how canonical Notch ligands or Fringe enzymes differentially affect NOTCH1 and NOTCH2. Using cell-based Notch signaling and ligand-binding assays, we evaluated differences in NOTCH1 and NOTCH2 responses to Delta-like (DLL) and Jagged (JAG) family members and the extent to which Fringe enzymes modulate their activity. In the absence of Fringes, DLL4–NOTCH1 activation was more than twice that of DLL4–NOTCH2, whereas all other ligands activated NOTCH2 similarly or slightly more than NOTCH1. However, NOTCH2 showed less sensitivity to the Fringes. Lunatic fringe (LFNG) enhanced NOTCH2 activation by DLL1 and -4, and Manic fringe (MFNG) inhibited NOTCH2 activation by JAG1 and -2. Mass spectral analysis showed that O-fucose occurred at high stoichiometry at most consensus sequences of NOTCH2 and that the Fringe enzymes modified more O-fucose sites of NOTCH2 compared with NOTCH1. Mutagenesis studies showed that LFNG modification of O-fucose on EGF8 and -12 of NOTCH2 was responsible for enhancement of DLL1–NOTCH2 activation, similar to previous reports for NOTCH1. In contrast to NOTCH1, a single O-fucose site mutant that substantially blocked the ability of MFNG to inhibit NOTCH2 activation by JAG1 could not be identified. Interestingly, elimination of the O-fucose site on EGF12 allowed LFNG to inhibit JAG1-NOTCH2 activation, and O-fucosylation on EGF9 was important for trafficking of both NOTCH1 and NOTCH2. Together, these studies provide new insights into the differential regulation of NOTCH1 and NOTCH2 by Notch ligands and Fringe enzymes.
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10

Zeng, Tianyi, Hong Jin, Zhifei Geng, Zihang Kang, and Zichen Zhang. "Urban–Rural Fringe Long-Term Sequence Monitoring Based on a Comparative Study on DMSP-OLS and NPP-VIIRS Nighttime Light Data: A Case Study of Shenyang, China." International Journal of Environmental Research and Public Health 19, no. 18 (September 19, 2022): 11835. http://dx.doi.org/10.3390/ijerph191811835.

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Urban–rural fringes, as special zones where urban and rural areas meet, are the most sensitive areas in the urbanization process. The quantitative identification of urban–rural fringes is the basis for studying the social structure, landscape pattern, and development gradient of fringes, and is also a prerequisite for quantitative analyses of the ecological effects of urbanization. However, few studies have been conducted to compare the identification accuracy of The US Air Force Defence Meteorological Satellite Program’s (DMSP) and the Visible Infrared Imaging Radiometer Suite (VIIRS) nighttime light data from the same year, subsequently enabling long time series monitoring of the urban–rural fringe. Therefore, in this study, taking Shenyang as an example, a K-means algorithm was used to delineate and compare the urban–rural fringe identification results of DMSP and VIIRS nighttime light data for 2013 and analyzed the changes between 2013 and 2020. The results of the study showed a high degree of overlap between the two types of data in 2013, with the overlap accounting for 75% of the VIIRS data identification results. Furthermore, the VIIRS identified more urban and rural details than the DMSP data. The area of the urban–rural fringe in Shenyang increased from 1872 km2 to 2537 km2, with the growth direction mainly concentrated in the southwest. This study helps to promote the study of urban–rural fringe identification from static identification to dynamic tracking, and from spatial identification to temporal identification. The research results can be applied to the comparative analysis of urban–rural differences and the study of the ecological and environmental effects of urbanization.
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11

Yang, Yuli, Mingguo Ma, Chao Tan, and Wangping Li. "Spatial Recognition of the Urban-Rural Fringe of Beijing Using DMSP/OLS Nighttime Light Data." Remote Sensing 9, no. 11 (November 7, 2017): 1141. http://dx.doi.org/10.3390/rs9111141.

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Spatial identification of the urban-rural fringes is very significant for deeply understanding the development processes and regulations of urban space and guiding urban spatial development in the future. Traditionally, urban-rural fringe areas are identified using statistical analysis methods that consider indexes from single or multiple factors, such as population densities, the ratio of building land, the proportion of the non-agricultural population, and economic levels. However, these methods have limitations, for example, the statistical data are not continuous, the statistical standards are not uniform, the data is seldom available in real time, and it is difficult to avoid issues on the statistical effects from edges of administrative regions or express the internal differences of these areas. This paper proposes a convenient approach to identify the urban-rural fringe using nighttime light data of DMSP/OLS images. First, a light characteristics–combined value model was built in ArcGIS 10.3, and the combined characteristics of light intensity and the degree of light intensity fluctuation are analyzed in the urban, urban-rural fringe, and rural areas. Then, the Python programming language was used to extract the breakpoints of the characteristic combination values of the nighttime light data in 360 directions taking Tian An Men as the center. Finally, the range of the urban-rural fringe area is identified. The results show that the urban-rural fringe of Beijing is mainly located in the annular band around Tian An Men. The average inner radius is 19 km, and the outer radius is 26 km. The urban-rural fringe includes the outer portions of the four city center districts, which are the Chaoyang District, Haidian District, Fengtai District, and Shijingshan District and the part area border with Daxing District, Tongzhou District, Changping District, Mentougou District, Shunyi District, and Fangshan District. The area of the urban-rural fringe is approximately 765 km2. This paper provides a convenient, feasible, and real-time approach for the identification of the urban-rural fringe areas. It is very significant to extract the urban-rural fringes.
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12

Alsiya, S., C. Jeya Lekshmi, B. P. Jishna Priya, and R. C. Mehta. "Image Processing Algorithm for Fringe Analysis in Photoelasticity." Scholars Journal of Engineering and Technology 4, no. 7 (July 2016): 325–28. http://dx.doi.org/10.21276/sjet.2016.4.7.5.

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13

Ajovalasit, A., S. Barone, and G. Petrucci. "A method for reducing the influence of quarter-wave plate errors in phase stepping photoelasticity." Journal of Strain Analysis for Engineering Design 33, no. 3 (April 1, 1998): 207–16. http://dx.doi.org/10.1243/0309324981512922.

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The phase stepping technique has recently been applied to the automated analysis of photoelastic fringes to determine the isoclinic parameter and the relative retardation. Generally, in these methods the error of quarter-wave plates, due to common manufacturing tolerances, influences the determination of the isoclinic parameter and the fringe order. In this paper a new phase stepping method in which the influence of quarter-wave plate error is null on the isoclinic parameter and negligible on the fringe order is proposed. The theoretical results have been confirmed by experimental tests.
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14

Chen, Qili, Mengqi Han, Ye Wang, and Wenjing Chen. "An Improved Circular Fringe Fourier Transform Profilometry." Sensors 22, no. 16 (August 12, 2022): 6048. http://dx.doi.org/10.3390/s22166048.

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Circular fringe projection profilometry (CFPP), as a branch of carrier fringe projection profilometry, has attracted research interest in recent years. Circular fringe Fourier transform profilometry (CFFTP) has been used to measure out-of-plane objects quickly because the absolute phase can be obtained by employing fewer fringes. However, the existing CFFTP method needs to solve a quadratic equation to calculate the pixel displacement amount related to the height of the object, in which the root-seeking process may get into trouble due to the phase error and the non-uniform period of reference fringe. In this paper, an improved CFFTP method based on a non-telecentric model is presented. The calculation of displacement amount is performed by solving a linear equation instead of a quadratic equation after introducing an extra projection of circular fringe with circular center translation. In addition, Gerchberg iteration is employed to eliminate phase error of the region close to the circular center, and the plane calibration technique is used to eliminate system error by establishing a displacement-to-height look-up table. The mathematical model and theoretical analysis are presented. Simulations and experiments have demonstrated the effectiveness of the proposed method.
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15

Rivera, Mariano, Ramon Rodriguez-Vera, and Jose L. Marroquin. "Robust procedure for fringe analysis." Applied Optics 36, no. 32 (November 10, 1997): 8391. http://dx.doi.org/10.1364/ao.36.008391.

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16

Bie, Stein W. "Systems Analysis on the Fringe." Norsk Geografisk Tidsskrift - Norwegian Journal of Geography 41, no. 2 (June 1987): 121–22. http://dx.doi.org/10.1080/00291958708621985.

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17

Chen, T. Y., and C. E. Taylor. "Computerized fringe analysis in photomechanics." Experimental Mechanics 29, no. 3 (September 1989): 323–29. http://dx.doi.org/10.1007/bf02321416.

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18

Brown, Gordon M. "Fringe analysis for automotive applications." Optics and Lasers in Engineering 19, no. 4-5 (January 1993): 203–20. http://dx.doi.org/10.1016/0143-8166(93)90062-p.

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19

Carazo-Alvarez, J., S. J. Haake, and E. A. Patterson. "Completely automated photoelastic fringe analysis." Optics and Lasers in Engineering 21, no. 3 (January 1994): 133–49. http://dx.doi.org/10.1016/0143-8166(94)90067-1.

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20

Abdul-Rahman, Hussein S., Munther A. Gdeisat, David R. Burton, Michael J. Lalor, Francis Lilley, and Abdulbasit Abid. "Three-dimensional Fourier Fringe Analysis." Optics and Lasers in Engineering 46, no. 6 (June 2008): 446–55. http://dx.doi.org/10.1016/j.optlaseng.2008.01.004.

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21

Rajshekhar, Gannavarpu, and Pramod Rastogi. "Fringe analysis: Premise and perspectives." Optics and Lasers in Engineering 50, no. 8 (August 2012): iii—x. http://dx.doi.org/10.1016/j.optlaseng.2012.04.006.

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22

Hasegawa, S., T. Kawasaki, J. Endo, M. Futamoto, and A. Tonomura. "Digital phase analysis in interference electron microscopy." Proceedings, annual meeting, Electron Microscopy Society of America 46 (1988): 842–43. http://dx.doi.org/10.1017/s0424820100106272.

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Interference electron microscopy enables us to record the phase distribution of an electron wave on a hologram. The distribution is visualized as a fringe pattern in a micrograph by optical reconstruction. The phase is affected by electromagnetic potentials; scalar and vector potentials. Therefore, the electric and magnetic field can be reduced from the recorded phase. This study analyzes a leakage magnetic field from CoCr perpendicular magnetic recording media. Since one contour fringe interval corresponds to a magnetic flux of Φo(=h/e=4x10-15Wb), we can quantitatively measure the field by counting the number of finges. Moreover, by using phase-difference amplification techniques, the sensitivity for magnetic field detection can be improved by a factor of 30, which allows the drawing of a Φo/30 fringe. This sensitivity, however, is insufficient for quantitative analysis of very weak magnetic fields such as high-density magnetic recordings. For this reason we have adopted “fringe scanning interferometry” using digital image processing techniques at the optical reconstruction stage. This method enables us to obtain subfringe information recorded in the interference pattern.
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23

Arai, Yasuhiko, Tadao Kurata, and Shunsuke Yokozeki. "Automatic Fringe Analysis of Moiré Interferometry." Journal of Robotics and Mechatronics 3, no. 3 (June 20, 1991): 184–89. http://dx.doi.org/10.20965/jrm.1991.p0184.

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The phase analysis of fringes by applying moiré techniques to the interferometer is well-known. Since this method is based on 2-D subtraction method in the incoherent optics, the distortion of the optical system is easily removed and a large aperture interferometer can be constructed. In this paper, a novel automatic method to detect phase of fringes was proposed by combining the conception of moiré-interferometer with a microcomputer system. The validity of the method is shown by experimental results in the phase analysis of fringes of slide-glasses. Furthermore, this system was applied to the measurement of pressure distributions in a Laval nozzle, and the measured results approximately coincided with the theoretical values. These results suggest that the system is well applicable to the fields of fluid mechanics.
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24

Ennos, A. E., D. W. Robinson, and D. C. Williams. "Automatic fringe analysis in holographic interferometry." Optica Acta: International Journal of Optics 32, no. 2 (February 1985): 135–45. http://dx.doi.org/10.1080/00303908508540915.

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25

Feng, Shijie, Qian Chen, Guohua Gu, Tianyang Tao, Liang Zhang, Yan Hu, Wei Yin, and Chao Zuo. "Fringe pattern analysis using deep learning." Advanced Photonics 1, no. 02 (February 28, 2019): 1. http://dx.doi.org/10.1117/1.ap.1.2.025001.

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26

Shapira, Itzhak. "Fractional moire fringe analysis by optimization." Optical Engineering 31, no. 4 (1992): 838. http://dx.doi.org/10.1117/12.56115.

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27

Rosenauer, A., U. Fischer, D. Gerthsen, and A. Förster. "Composition evaluation by lattice fringe analysis." Ultramicroscopy 72, no. 3-4 (May 1998): 121–33. http://dx.doi.org/10.1016/s0304-3991(98)00002-3.

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28

Jiang, Mohua, Wenjing Chen, Zhiping Zheng, and Min Zhong. "Fringe pattern analysis by S-transform." Optics Communications 285, no. 3 (February 2012): 209–17. http://dx.doi.org/10.1016/j.optcom.2011.09.015.

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29

Moore, Andrew. "FASIG special issue on fringe analysis." Optics and Lasers in Engineering 43, no. 7 (July 2005): 737–38. http://dx.doi.org/10.1016/j.optlaseng.2004.08.001.

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Reid, G. T. "Automatic fringe pattern analysis: A review." Optics and Lasers in Engineering 7, no. 1 (January 1986): 37–68. http://dx.doi.org/10.1016/0143-8166(86)90034-5.

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31

Yatagai, Toyohiko. "Automated fringe analysis techniques in Japan." Optics and Lasers in Engineering 15, no. 2 (January 1991): 79–91. http://dx.doi.org/10.1016/0143-8166(91)90025-o.

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Kerr, David. "Special issue on digital fringe analysis." Optics and Lasers in Engineering 19, no. 4-5 (January 1993): 201–2. http://dx.doi.org/10.1016/0143-8166(93)90061-o.

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Yang, Jun, Jian-Heng Huang, Yao-Hu Lei, Jing-Biao Zheng, Yu-Zheng Shan, Da-Yu Guo, and Jin-Chuan Guo. "Analysis of period and visibility of dual phase grating interferometer." Chinese Physics B 31, no. 5 (April 1, 2022): 058701. http://dx.doi.org/10.1088/1674-1056/ac3a60.

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Dual phase grating interferometer may simultaneously achieve large field of view and high x-ray dose efficiency. Here, we develop a simple theoretical method to better understand the imaging process of the dual phase grating interferometer. The derivation process of fringe period and the optimal visibility conditions of the dual phase grating interferometer are given in detail. Then, we theoretically prove that the fringe period and optimal visibility conditions of the dual phase grating interferometer include that of the Talbot interferometer. By comparing our experimental results with those of other researchers, we find that when the positions of phase gratings are far away from the positions where the fringe visibility is optimal, the fringe period of the dual π-phase grating interferometer is twice the theoretical results under the illumination of polychromatic x-ray. This conclusion may explain the contradictory research results of dual phase grating interferometer among different researchers.
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Erdoğan, Gizem. "IDENTIFIYING URBAN FRINGE SPATIAL CHARACTER WITH FRACTAL ANALYSIS: AKHAN, DENİZLİ." E-journal of New World Sciences Academy 14, no. 2 (April 29, 2019): 11–17. http://dx.doi.org/10.12739/nwsa.2019.14.2.e0045.

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35

Das Chowdhury, K., M. J. Kim, Y. L. Chen, and R. W. Carpenter. "Analysis of pure tilt grain boundary in silicon by Fresnel fringe technique." Proceedings, annual meeting, Electron Microscopy Society of America 49 (August 1991): 1002–3. http://dx.doi.org/10.1017/s0424820100089329.

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One of the main emphases of research on interfaces is to characterize them both structurally and chemically. The atomic structure of interfaces and the existence of thin interfacial glassy phases are being investigated mainly by HREM imaging methods. In addition, a few other methods including dark field diffuse imaging and Fresnel Fringe techniques have been developed to identify the interfacial films and quantify their width. Fresnel fringe profiles from the interface images have been used to deduce the mean inner potential of thin interfacial films. In our research the Fresnel fringe contrast behavior of a tilt grain boundary in silicon whose structure and chemistry were previously characterized by HREM and high spatial resolution AEM was analyzed by comparing the experimental Fresnel fringe profiles with computer simulations of these images.
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Assid, Khalid, Vamara Dembele, Faiçal Alaoui, and Abdel Karim Nassim. "Single Frame Fringe Pattern Analysis for Phase Recovery with Analytic Signal." ISRN Optics 2012 (June 27, 2012): 1–6. http://dx.doi.org/10.5402/2012/396960.

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We consider a new application of the normalized Hilbert-Huang transform to extract directly the phase from a single fringe pattern. We present a technique to provide, with good accuracy, the phase distribution from a single interferogram without unwrapping step and this by a new exploitation of the analytic signal corresponding to each intrinsic mode function, resulting from one-dimensional empirical mode decomposition of the fringe pattern. A theoretical analysis was carried out for this technique, followed by computer simulations and a real experimental fringe pattern for verification.
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Kemao, Qian, Haixia Wang, and Wenjing Gao. "Windowed Fourier transform for fringe pattern analysis: theoretical analyses." Applied Optics 47, no. 29 (October 8, 2008): 5408. http://dx.doi.org/10.1364/ao.47.005408.

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Zhang, Yiwei, Jun Tong, Lei Lu, Jiangtao Xi, Yanguang Yu, and Qinghua Guo. "Fringe Order Correction for Fringe Projection Profilometry Based on Robust Principal Component Analysis." IEEE Access 9 (2021): 23110–19. http://dx.doi.org/10.1109/access.2021.3056063.

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Chang Chien, Kuang-Che, Han-Yen Tu, Ching-Huang Hsieh, Chau-Jern Cheng, and Chun-Yen Chang. "Regional fringe analysis for improving depth measurement in phase-shifting fringe projection profilometry." Measurement Science and Technology 29, no. 1 (December 15, 2017): 015007. http://dx.doi.org/10.1088/1361-6501/aa94a5.

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Guo, Qinghua, Jiangtao Xi, Limei Song, Yanguang Sunny Yu, Yongkai Yin, and Xiang Peng. "Fringe Pattern Analysis With Message Passing Based Expectation Maximization for Fringe Projection Profilometry." IEEE Access 4 (2016): 4310–20. http://dx.doi.org/10.1109/access.2016.2597189.

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41

Catalan, Francesca Celine I., Anne Margarette S. Maallo, and Percival F. Almoro. "Fringe analysis and enhanced characterization of sub-surface defects using fringe-shifted shearograms." Optics Communications 285, no. 21-22 (October 2012): 4223–26. http://dx.doi.org/10.1016/j.optcom.2012.06.020.

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42

Feng, Jingxuan, Jinghan Huang, and Yikai Huang. "The analysis of Influencing Factors of Morie Fringe based on 3D Imaging Simulation and experiment measurement." Journal of Physics: Conference Series 2229, no. 1 (March 1, 2022): 012029. http://dx.doi.org/10.1088/1742-6596/2229/1/012029.

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Abstract We propose a three-dimension imaging construction scheme based on Moire fringe and investigate the influencing factors for the fringe generation. Specifically, the principle of the Moire fringe is introduced and a corresponding proof-of-principle experiment is designed and accrued out accompanying with corresponding programming codes subsequently. Four-step phase-shift method and Fourier transform are applied in the experiment to obtain the phase information. Afterwards, the Fourier transformation is added up to a model that shows the surface of the object in terms of the unwrap the phase package. According to the results, the ability of Moire fringe to image is confirmed, which pave a path for various applications, e.g., medical treatment and cryptology.
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43

Cohen, Dov, and C. Barry Carter. "Statistical Assessment Of Experimental Uncertainty In The Quantitative Analysis Of Strong-Beam A-Fringe Contrast." Microscopy and Microanalysis 5, S2 (August 1999): 172–73. http://dx.doi.org/10.1017/s1431927600014185.

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Grain boundaries and related planar defects in crystalline materials are often characterized by relaxations from geometric lattice constructions in order to lower the interfacial energy. Grain boundaries may relax by local reconstructions of the atomic structure along the interface and/or rigid-body lattice translations that perturb the relative positions of the grains far from the interface. Rigid-body lattice translations can by studied using α-fringe contrast along planar interfaces in strong-beam transmission electron microscopy (TEM) images.[l-3] Oscillatory fringe contrast may appear along an interface between two grains which are related by a translation vector, R, when the interface lies inclined to the incident electron beam and imaged with a diffraction vector, gc, common to both grains.[4] The fringe contrast is due to an interference between the direct and scattered electron beams when the diffracted electron beams undergo a phase shift propagating across the interface. The phase shift, α, is proportional to the projection of R onto gc (i.e. α = Rgc) and the fringe contrast is known as α-fringe.
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44

Manjit, Yongyut, Saksit Sukprasong, Apichart Limpichaipanit, and Athipong Ngamjarurojana. "Study of Stress Distribution in Homogeneous Plastic by Photoelastic Analysis System." Key Engineering Materials 675-676 (January 2016): 708–11. http://dx.doi.org/10.4028/www.scientific.net/kem.675-676.708.

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The experiment was conducted to study the stress distribution on a homogeneous plastic using photoelastic analysis system where the stress was observed by reflection polariscope. The circular disk of homogeneous plastic was used for study in this research. The sample was pressed at the top and bottom. The fringe patterns were produced from sample on the model being stressed, which could be observed in the bright field and dark field. The fringe patterns were recorded by digital camera. Then the results were analyzed; the fringe pattern looked different when applying various magnitudes of force because the stress distribution in sample was changed in homogeneous plastic.
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45

Ye, Guo Yong, Yong Sheng Shi, Lei Yin, Hong Zhong Liu, Xuan Li, Hao Yu Yu, and Bing Heng Lu. "Analysis of Quadrature Phase-Shift Error Caused by Angular Misalignment in Moiré Linear Encoders." Advanced Materials Research 712-715 (June 2013): 1863–67. http://dx.doi.org/10.4028/www.scientific.net/amr.712-715.1863.

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The influence of quadrature phase shift caused by angular misalignment on the measurement accuracy of two moiré linear encoders is analyzed. A mathematical model of quadrature phase-shift error is derived. The model is employed to analyze the quadrature phase-shift error in lateral-moiré-fringe-based and Vernier-moiré-fringe-based linear encoders respectively, and comparisons are carried out. The results show the nonlinearity of the quadrature phase-shift error and the relative insensitivity of the Vernier-moiré-fringe-based linear encoders to the angular misalignment.
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46

Li, Fuqian, and Wenjing Chen. "Phase Error Analysis and Correction for Crossed-Grating Phase-Shifting Profilometry." Sensors 21, no. 19 (September 28, 2021): 6475. http://dx.doi.org/10.3390/s21196475.

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Crossed-grating phase-shifting profilometry (CGPSP) has great utility in three-dimensional shape measurement due to its ability to acquire horizontal and vertical phase maps in a single measurement. However, CGPSP is extremely sensitive to the non-linearity effect of a digital fringe projection system, which is not studied in depth yet. In this paper, a mathematical model is established to analyze the phase error caused by the non-linearity effect. Subsequently, two methods used to eliminate the non-linearity error are discussed in detail. To be specific, a double five-step algorithm based on the mathematical model is proposed to passively suppress the second non-linearity. Furthermore, a precoding gamma correction method based on probability distribution function is introduced to actively attenuate the non-linearity of the captured crossed fringe. The comparison results show that the active gamma correction method requires less fringe patterns and can more effectively reduce the non-linearity error compared with the passive method. Finally, employing CGPSP with gamma correction, a faster and reliable inverse pattern projection is realized with less fringe patterns.
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47

Chenxing Wang, Chenxing Wang, Feipeng Da Feipeng Da, and Ke Lu Ke Lu. "Modified local mean decomposition algorithm for adaptive analysis of fringe pattern." Chinese Optics Letters 12, s1 (2014): S11003–311006. http://dx.doi.org/10.3788/col201412.s11003.

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48

Zhang, Ruihua, Hongwei Guo, and Anand K. Asundi. "Geometric analysis of influence of fringe directions on phase sensitivities in fringe projection profilometry." Applied Optics 55, no. 27 (September 20, 2016): 7675. http://dx.doi.org/10.1364/ao.55.007675.

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49

Rosenberg, Ori Izhak, and David Abookasis. "Application of Hilbert Analysis in Orthogonal Fourier Fringe-projection to Improve Object Shape Reconstruction -=SUP=-*-=/SUP=-." Оптика и спектроскопия 129, no. 5 (2021): 658. http://dx.doi.org/10.21883/os.2021.05.50894.1039-20.

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Three-dimensional (3D) measurement of an object is widely used in many fields including machine vision, quality control, robotics, medical diagnostics, and others. High-precision 3D surface topography is necessary for describing object shape accurately with high spatial resolution. A combined approach to improve 3D object shape recovery based on Fourier orthogonal fringe projection together with Hilbert transform is proposed and demonstrated. This new idea of combination is highly effective due to the suppressing of background intensity of the deformed fringe pattern while the zero spectrum is extracted precisely and easily. Removing the zero order component leads to increase the visualization and resolution of the measured object. Application of Hilbert processing for object shape recovery in orthogonal Fourier projection domain to improve 3D visualization has not been reported before. The processing framework of this strategy is described in detail. Validation of the proposed method is verified by experiments including visualization of objects with various shapes and sizes. A comparison between profilometry methods is also given which verify better performance in reconstruction of complex objects. 3D reconstruction of flow running at different speeds on a scattering medium with this combined approach is also demonstrated for the first time. Keywords: 3D shape measurements, orthogonal fringes, Fourier and Hilbert transform, image processing.
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50

Wang, Mo, Xiaoping Fu, Dongqing Zhang, Furong Chen, Jin Su, Shiqi Zhou, Jianjun Li, Yongming Zhong, and Soon Keat Tan. "Urban Flooding Risk Assessment in the Rural-Urban Fringe Based on a Bayesian Classifier." Sustainability 15, no. 7 (March 24, 2023): 5740. http://dx.doi.org/10.3390/su15075740.

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Urban flooding disasters have become increasingly frequent in rural-urban fringes due to rapid urbanization, posing a serious threat to the aquatic environment, life security, and social economy. To address this issue, this study proposes a flood disaster risk assessment framework that integrates a Weighted Naive Bayesian (WNB) classifier and a Complex Network Model (CNM). The WNB is employed to predict risk distribution according to the risk factors and flooding events data, while the CNM is used to analyze the composition and correlation of the risk attributes according to its network topology. The rural-urban fringe in the Guangdong–Hong Kong–Macao Greater Bay Area (GBA) is used as a case study. The results indicate that approximately half of the rural-urban fringe is at medium flooding risk, while 25.7% of the investigated areas are at high flooding risk. Through driving-factor analysis, the rural-urban fringe of GBA is divided into 12 clusters driven by multiple factors and 3 clusters driven by a single factor. Two types of cluster influenced by multiple factors were identified: one caused by artificial factors such as road density, fractional vegetation cover, and impervious surface percentage, and the other driven by topographic factors, such as elevation, slope, and distance to waterways. Single factor clusters were mainly based on slope and road density. The proposed flood disaster risk assessment framework integrating WNB and CNM provides a valuable tool to identify high-risk areas and driving factors, facilitating better decision-making and planning for disaster prevention and mitigation in rural-urban fringes.
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