#### DMCA

## POUR L'OBTENTION DU GRADE DE DOCTEUR ÈS SCIENCES PAR

### Citations

1 | Estimation of multiple phases in holographic moire in presence of harmonics and noise using minimum-norm algorithm,” Opt. Express 13, 4070–4084 - Patil, Rastogi - 2005 |

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curvature and twist measurements in digital holographic interferometry using pseudo Wigner-Ville distribution based method”, Review of Scientific Instruments
- Rajshekhar, Gorthi, et al.
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Citation Context ...g phase derivative with respect to x at various SNRs (in dB). . . . . . . . . . . . . . . . . . . 33 xiiisChapter 1 Introduction 1.1 Fringe analysis Optical techniques like holographic interferometry =-=[1]-=-, electronic speckle pattern interferometry [2] and fringe projection [3] are quite popular for non-contact measurements and have many applications in areas such as experimental mechanics, non-destruc... |

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An adaptive window Wigner-Ville distribution based method to estimate phase derivative from optical fringes
- Rajshekhar, Gorthi, et al.
(Show Context)
Citation Context ... SNRs (in dB). . . . . . . . . . . . . . . . . . . 33 xiiisChapter 1 Introduction 1.1 Fringe analysis Optical techniques like holographic interferometry [1], electronic speckle pattern interferometry =-=[2]-=- and fringe projection [3] are quite popular for non-contact measurements and have many applications in areas such as experimental mechanics, non-destructive testing, profilometry, quality control etc... |

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Sai Siva Gorthi, and Pramod Rastogi, “Polynomial Wigner-Ville distribution based method for direct phase derivative estimation from optical fringes
- Rajshekhar
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Citation Context ...). [23] B. Pan, Q. Kemao, L. Huang, and A. Asundi, “Phase error analysis and compensation for nonsinusoidal waveforms in phase-shifting digital fringe projection profilometry,” Opt. Lett. 34, 416–418 =-=(2009)-=-. [24] M. Takeda, H. Ina, and S. Kobayashi, “Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry,” J. Opt. Soc. Am. 72, 156–160 (1982). [25] J. Zhong a... |

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Sai Siva Gorthi, and Pramod Rastogi, “Estimation of multiple phases from a single fringe pattern in digital holographic interferometry
- Rajshekhar
- 2012
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Citation Context ...technique and relies on recording multiple fringe patterns where the phase is incremented between successive frames. For phase extraction in phase-shifting, several methods based on Carré’s algorithm =-=[5]-=-, the N-bucket algorithm [6, 7], least-squares approach [8], characteristic polynomials [9, 10], 1Chap. 1 : Introduction symmetrical phase-shifting algorithm [11], error compensating algorithms [12–2... |

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Rajshekhar and Pramod Rastogi,''Strain estimation in digital holographic interferometry using piecewise polynomial phase approximation based method
- Gorthi, G
- 2010
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Citation Context ...rding multiple fringe patterns where the phase is incremented between successive frames. For phase extraction in phase-shifting, several methods based on Carré’s algorithm [5], the N-bucket algorithm =-=[6, 7]-=-, least-squares approach [8], characteristic polynomials [9, 10], 1Chap. 1 : Introduction symmetrical phase-shifting algorithm [11], error compensating algorithms [12–23] etc. have been proposed. Due... |

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Rajshekhar and Pramod Rastogi, "Three-dimensional shape measurement using high-order instantaneous moments based fringe projection method
- Gorthi, G
- 2011
(Show Context)
Citation Context ...rding multiple fringe patterns where the phase is incremented between successive frames. For phase extraction in phase-shifting, several methods based on Carré’s algorithm [5], the N-bucket algorithm =-=[6, 7]-=-, least-squares approach [8], characteristic polynomials [9, 10], 1Chap. 1 : Introduction symmetrical phase-shifting algorithm [11], error compensating algorithms [12–23] etc. have been proposed. Due... |

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Sai Siva Gorthi, and Pramod Rastogi, “Simultaneous measurement of in-plane and out-of-plane displacement derivatives using dual-wavelength digital holographic interferometry
- Rajshekhar
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Citation Context ...etween successive frames. For phase extraction in phase-shifting, several methods based on Carré’s algorithm [5], the N-bucket algorithm [6, 7], least-squares approach [8], characteristic polynomials =-=[9, 10]-=-, 1Chap. 1 : Introduction symmetrical phase-shifting algorithm [11], error compensating algorithms [12–23] etc. have been proposed. Due to the requirement of multiple fringe patterns, temporal method... |

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Application of complex-lag distributions for estimation of arbitrary order phase derivatives in digital holographic interferometry
- Rajshekhar, Rastogi
(Show Context)
Citation Context ...al methods based on Carré’s algorithm [5], the N-bucket algorithm [6, 7], least-squares approach [8], characteristic polynomials [9, 10], 1Chap. 1 : Introduction symmetrical phase-shifting algorithm =-=[11]-=-, error compensating algorithms [12–23] etc. have been proposed. Due to the requirement of multiple fringe patterns, temporal methods are difficult to apply for dynamic measurements and quite suscepti... |

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Sai Siva Gorthi, and Pramod Rastogi, “Detection of defects from fringe patterns using a pseudo Wigner-Ville distribution based method
- Rajshekhar
- 2012
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Citation Context ...hase-shifting algorithms,” J. Opt. Soc. Am. A 9, 1740–1748 (1992). [12] P. Hariharan, “Phase-shifting interferometry: Minimization of systematic errors,” Opt. Eng. 39, 967–969 (2000). 89BIBLIOGRAPHY =-=[13]-=- J. Schwider, R. Burow, K. E. Elssner, J. Grzanna, R. Spolaczyk, and K. Merkel, “Digital wave-front measuring interferometry: some systematic error sources,” Appl. Opt. 22, 3421–3432 (1983). [14] P. H... |

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Fringe analysis: Premise and perspectives
- Rajshekhar, Rastogi
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Citation Context ...APHY [13] J. Schwider, R. Burow, K. E. Elssner, J. Grzanna, R. Spolaczyk, and K. Merkel, “Digital wave-front measuring interferometry: some systematic error sources,” Appl. Opt. 22, 3421–3432 (1983). =-=[14]-=- P. Hariharan, B. F. Oreb, and T. Eiju, “Digital phase-shifting interferometry: a simple error-compensating phase calculation algorithm,” Appl. Opt. 26, 2504–2506 (1987). [15] J. van Wingerden, H. J. ... |

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Sai Siva Gorthi and Pramod Rastogi, ''Comparative Analysis of Various Single-tone Frequency Estimation Techniques
- Rajshekhar
- 2010
(Show Context)
Citation Context ...g phase derivative with respect to x at various SNRs (in dB). . . . . . . . . . . . . . . . . . . 33 xiiisChapter 1 Introduction 1.1 Fringe analysis Optical techniques like holographic interferometry =-=[1]-=-, electronic speckle pattern interferometry [2] and fringe projection [3] are quite popular for non-contact measurements and have many applications in areas such as experimental mechanics, non-destruc... |

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Rajshekhar and Pramod Rastogi, ''Estimation of Phase in Fringe Projection Technique Using High-order Instantaneous Moments Based Method
- Gorthi, G
- 2010
(Show Context)
Citation Context ... SNRs (in dB). . . . . . . . . . . . . . . . . . . 33 xiiisChapter 1 Introduction 1.1 Fringe analysis Optical techniques like holographic interferometry [1], electronic speckle pattern interferometry =-=[2]-=- and fringe projection [3] are quite popular for non-contact measurements and have many applications in areas such as experimental mechanics, non-destructive testing, profilometry, quality control etc... |