Five-step phase-shifting algorithms with unknown values of phase shift

Optik (Jena)

Volumn 114, Issue 2, 2003, Pages 63-68

  Novak, Jiri ^a  

^a CZECH TECHNICAL UNIVERSITY IN PRAGUE   (Czech Republic)

Author keywords

Carr algorithm; Error analysis; Phase calculation algorithms; Phase shifting

Indexed keywords

CALCULATIONS; ERROR ANALYSIS; INTERFEROMETERS; MATHEMATICAL MODELS; PHASE SHIFT; POLYNOMIAL APPROXIMATION; RANDOM ERRORS;

CARRE ALGORITHM; PHASE EVALUATION; QUADRATIC POLYNOMIAL APPROXIMATION;

ALGORITHMS;

EID: 0038613749     PISSN: 00304026     EISSN: None     Source Type: Journal    
DOI: 10.1078/0030-4026-00222     Document Type: Article

References (25)

1. Kreis T: Holographic interferometry: Principles and methods. Akademie Verlag, Berlin 1996
2. Rastogi PK: Digital speckle pattern interferometry and related techniques. John Wiley & Sons Inc., New York 2001.
3. Cloud G: Optical methods of engineering analysis. Cambridge Univ. Press, Cambridge 1998.
4. Jacquot P, Fournier JM (eds.) Interferometry in speckle light: Theory and applications, Springer Verlag, Berlin 2000
5. Osten W, Jüptner W (eds.): Fringe 2001: The 4th international workshop on automatic processing of fringe patterns. Elsevier, Paris 2001
6. Osten W, Jüptner W, Kujawinska M (eds.): Optical measurement systems for industrial inspection II. SPIE Proc. 4398 (2001)
7. Yatagai T: Automatic fringe analysis using digital image processing techniques. Opt. Eng. 21 (1982) 432-434
8. Takeda M, Ina H, Kobyashi S: Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry. J. Opt. Soc. Am. 72 (1982) 156-160
9. Kujawinska M., Wójciak M.: High accuracy Fourier transform fringe pattern analysis. Opt. Lasers Eng. 14 (1991) 325-339
10. Novak J: Analysis and evaluation of interference patterns. MATLAB 2001, Prague
11. Miks A, Novak J: Fringe tracing technique in the process of optical testing. Physical and Material Engineering 2002, Prague
12. Creath K: Phase - measurement interferometry techniques. In Wolf E (ed.): Progress in optics Vol. XXVI. pp. 349-393 Elsevier Science, Amsterdam 1988
13. Malacara D (ed.): Optical shop testing. John Wiley and Sons, New York 1992
14. Malacara D, Servin M, Malacara Z: Interferogram analysis for optical testing, Marcel Dekker Inc., New York 1998
15. Surrel Y: Design of algorithms for phase measurements by the use of phase stepping. Appl. Opt. 35 (1996) 51-60
16. Surrel Y: Additive noise effect in digital phase detection. Appl. Opt. 36 (1997) 271-275
17. Larkin KG, Oreb BF: Design and assessment of symmetrical phase-shifting algorithm. J. Opt. Soc. Am. A 9 (1992) 1740-1748
18. Ghiglia DC, Pritt MD: Two-dimensional phase unwrapping: Theory, algorithms and software. John Wiley & Sons, Inc., New York 1998
19. Huntley JM: Noise imune phase unwrapping algorithm. Appl. Opt. 28 (1989) 3268-3270
20. Novak J: Methods for 2-D phase unwrapping in MATLAB. MATLAB 2001, Prague
21. Carré P. Installation et utilisation du comparateur photo-electrique et interferential du bureau international des poids de mesures. Metrologia 2 (1966) 13
22. Hariharan P, Oreb BF, Eiju T. Digital phase-shifting interferometry: a simple error-compensating phase calculation algorithm. Appl. Opt. 26 (1987) 2504-2506
23. Novak J: Error analysis of three-frame algorithms for evaluation of deformations. Interferometry of speckle light: Theory and applications, pp. 439. Springer Verlag, Berlin 2000
24. Miks A, Novak J: Application of multi-step algorithms for deformation measurement. SPIE Proc. 4398 (2001) 280-288
25. Novak J: Computer simulation of phase evaluation process with phase shifting technique. Physical and Material Engineering 2002, Prague