H. X. Wang, K. Li, and Q. Kemao, “Frequency guided methods for demodulation of a single fringe pattern with quadratic phase matching,” Opt. Lasers Eng. 49, 564–569 (2011).

[CrossRef]

C. Tian, Y. Yang, S. Zhang, D. Liu, Y. Luo, and Y. Zhuo, “Regularized frequency-stabilizing method for single closed-fringe interferogram demodulation,” Opt. Lett. 35, 1837–1839(2010).

[CrossRef]
[PubMed]

C. Tian, Y. Yang, D. Liu, Y. Luo, and Y. Zhuo, “Demodulation of a single complex fringe interferogram with a path-independent regularized phase-tracking technique,” Appl. Opt. 49, 170–179 (2010).

[CrossRef]
[PubMed]

M. Servin, J. L. Marroquin, and F. J. Cuevas, “Fringe-follower regularized phase tracker for demodulation of closed-fringe interferograms,” J. Opt. Soc. Am. A 18, 689–695 (2001).

[CrossRef]

J. A. Quiroga, J. Antonio Gomez-Pedrero, and A. Garcia-Botella, “Algorithm for fringe pattern normalization,” Opt. Commun. 197, 43–51 (2001).

[CrossRef]

Y. Wei, D. Yan, and S. S. Cha, “Comparison of results of interferometric phase extraction algorithms for three-dimensional flow-field tomography,” Opt. Lasers Eng. 32, 147–155 (1999).

[CrossRef]

C. Shakher and A. K. Nirala, “A review on refractive index and temperature profile measurements using laser-based interferometric techniques,” Opt. Lasers Eng. 31, 455–491 (1999).

[CrossRef]

F. Becker and Y. H. Yu, “Digital fringe reduction techniques applied to the measurement of three-dimensional transonic flow fields,” Opt. Eng. 24, 429–434 (1985).

R. D. Matulka and D. J. Collins, “Determination of three-dimensional density fields from holographic interferograms,” J. Appl. Phys. 42, 1109–1119 (1971).

[CrossRef]

R. Gordon, R. Bender, and G. T. Herman, “Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography,” J. Theor. Biol. 29, 471–481(1970).

[CrossRef]
[PubMed]

F. Becker and Y. H. Yu, “Digital fringe reduction techniques applied to the measurement of three-dimensional transonic flow fields,” Opt. Eng. 24, 429–434 (1985).

R. Gordon, R. Bender, and G. T. Herman, “Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography,” J. Theor. Biol. 29, 471–481(1970).

[CrossRef]
[PubMed]

R. D. Matulka and D. J. Collins, “Determination of three-dimensional density fields from holographic interferograms,” J. Appl. Phys. 42, 1109–1119 (1971).

[CrossRef]

M. Servin, J. L. Marroquin, and F. J. Cuevas, “Fringe-follower regularized phase tracker for demodulation of closed-fringe interferograms,” J. Opt. Soc. Am. A 18, 689–695 (2001).

[CrossRef]

M. Servin, J. L. Marroquin, and F. J. Cuevas, “Demodulation of a single interferogram by use of a two-dimensional regularized phase-tracking technique,” Appl. Opt. 36, 4540–4548(1997).

[CrossRef]
[PubMed]

S. R. Deans, The Radon Transform and Some of Its Applications (Krieger, 1992).

J. A. Quiroga, J. Antonio Gomez-Pedrero, and A. Garcia-Botella, “Algorithm for fringe pattern normalization,” Opt. Commun. 197, 43–51 (2001).

[CrossRef]

G. H. Golub, Matrix Computation, 3rd ed. (Johns Hopkins University Press, 1996).

J. A. Quiroga, J. Antonio Gomez-Pedrero, and A. Garcia-Botella, “Algorithm for fringe pattern normalization,” Opt. Commun. 197, 43–51 (2001).

[CrossRef]

R. Gordon, R. Bender, and G. T. Herman, “Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography,” J. Theor. Biol. 29, 471–481(1970).

[CrossRef]
[PubMed]

R. Gordon, R. Bender, and G. T. Herman, “Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography,” J. Theor. Biol. 29, 471–481(1970).

[CrossRef]
[PubMed]

A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (IEEE, 1999).

H. X. Wang, K. Li, and Q. Kemao, “Frequency guided methods for demodulation of a single fringe pattern with quadratic phase matching,” Opt. Lasers Eng. 49, 564–569 (2011).

[CrossRef]

T. Kreis, Handbook of Holographic Interferometry—Optical and Digital Methods (Wiley, 2005).

C. Tian, Y. Yang, Y. Zhuo, T. Ling, and H. Li, “Polynomial approximation method for tomographic reconstruction of three-dimensional refractive index fields with limited data,” Opt. Lasers Eng. (to be published).

H. X. Wang, K. Li, and Q. Kemao, “Frequency guided methods for demodulation of a single fringe pattern with quadratic phase matching,” Opt. Lasers Eng. 49, 564–569 (2011).

[CrossRef]

C. Tian, Y. Yang, Y. Zhuo, T. Ling, and H. Li, “Polynomial approximation method for tomographic reconstruction of three-dimensional refractive index fields with limited data,” Opt. Lasers Eng. (to be published).

C. Tian, Y. Yang, S. Zhang, D. Liu, Y. Luo, and Y. Zhuo, “Regularized frequency-stabilizing method for single closed-fringe interferogram demodulation,” Opt. Lett. 35, 1837–1839(2010).

[CrossRef]
[PubMed]

C. Tian, Y. Yang, D. Liu, Y. Luo, and Y. Zhuo, “Demodulation of a single complex fringe interferogram with a path-independent regularized phase-tracking technique,” Appl. Opt. 49, 170–179 (2010).

[CrossRef]
[PubMed]

C. Tian, Y. Yang, D. Liu, Y. Luo, and Y. Zhuo, “Demodulation of a single complex fringe interferogram with a path-independent regularized phase-tracking technique,” Appl. Opt. 49, 170–179 (2010).

[CrossRef]
[PubMed]

C. Tian, Y. Yang, S. Zhang, D. Liu, Y. Luo, and Y. Zhuo, “Regularized frequency-stabilizing method for single closed-fringe interferogram demodulation,” Opt. Lett. 35, 1837–1839(2010).

[CrossRef]
[PubMed]

D. Malacara, Optical Shop Testing, 2nd ed. (Wiley, 1992).

M. Servin, J. L. Marroquin, and F. J. Cuevas, “Fringe-follower regularized phase tracker for demodulation of closed-fringe interferograms,” J. Opt. Soc. Am. A 18, 689–695 (2001).

[CrossRef]

M. Servin, J. L. Marroquin, and F. J. Cuevas, “Demodulation of a single interferogram by use of a two-dimensional regularized phase-tracking technique,” Appl. Opt. 36, 4540–4548(1997).

[CrossRef]
[PubMed]

R. D. Matulka and D. J. Collins, “Determination of three-dimensional density fields from holographic interferograms,” J. Appl. Phys. 42, 1109–1119 (1971).

[CrossRef]

C. Shakher and A. K. Nirala, “A review on refractive index and temperature profile measurements using laser-based interferometric techniques,” Opt. Lasers Eng. 31, 455–491 (1999).

[CrossRef]

J. A. Quiroga, J. Antonio Gomez-Pedrero, and A. Garcia-Botella, “Algorithm for fringe pattern normalization,” Opt. Commun. 197, 43–51 (2001).

[CrossRef]

M. Servin, J. L. Marroquin, and F. J. Cuevas, “Fringe-follower regularized phase tracker for demodulation of closed-fringe interferograms,” J. Opt. Soc. Am. A 18, 689–695 (2001).

[CrossRef]

M. Servin, J. L. Marroquin, and F. J. Cuevas, “Demodulation of a single interferogram by use of a two-dimensional regularized phase-tracking technique,” Appl. Opt. 36, 4540–4548(1997).

[CrossRef]
[PubMed]

C. Shakher and A. K. Nirala, “A review on refractive index and temperature profile measurements using laser-based interferometric techniques,” Opt. Lasers Eng. 31, 455–491 (1999).

[CrossRef]

A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (IEEE, 1999).

C. Tian, Y. Yang, S. Zhang, D. Liu, Y. Luo, and Y. Zhuo, “Regularized frequency-stabilizing method for single closed-fringe interferogram demodulation,” Opt. Lett. 35, 1837–1839(2010).

[CrossRef]
[PubMed]

C. Tian, Y. Yang, D. Liu, Y. Luo, and Y. Zhuo, “Demodulation of a single complex fringe interferogram with a path-independent regularized phase-tracking technique,” Appl. Opt. 49, 170–179 (2010).

[CrossRef]
[PubMed]

C. Tian, Y. Yang, Y. Zhuo, T. Ling, and H. Li, “Polynomial approximation method for tomographic reconstruction of three-dimensional refractive index fields with limited data,” Opt. Lasers Eng. (to be published).

H. X. Wang, K. Li, and Q. Kemao, “Frequency guided methods for demodulation of a single fringe pattern with quadratic phase matching,” Opt. Lasers Eng. 49, 564–569 (2011).

[CrossRef]

Y. Wei, D. Yan, and S. S. Cha, “Comparison of results of interferometric phase extraction algorithms for three-dimensional flow-field tomography,” Opt. Lasers Eng. 32, 147–155 (1999).

[CrossRef]

Y. Wei, D. Yan, and S. S. Cha, “Comparison of results of interferometric phase extraction algorithms for three-dimensional flow-field tomography,” Opt. Lasers Eng. 32, 147–155 (1999).

[CrossRef]

C. Tian, Y. Yang, D. Liu, Y. Luo, and Y. Zhuo, “Demodulation of a single complex fringe interferogram with a path-independent regularized phase-tracking technique,” Appl. Opt. 49, 170–179 (2010).

[CrossRef]
[PubMed]

C. Tian, Y. Yang, S. Zhang, D. Liu, Y. Luo, and Y. Zhuo, “Regularized frequency-stabilizing method for single closed-fringe interferogram demodulation,” Opt. Lett. 35, 1837–1839(2010).

[CrossRef]
[PubMed]

C. Tian, Y. Yang, Y. Zhuo, T. Ling, and H. Li, “Polynomial approximation method for tomographic reconstruction of three-dimensional refractive index fields with limited data,” Opt. Lasers Eng. (to be published).

F. Becker and Y. H. Yu, “Digital fringe reduction techniques applied to the measurement of three-dimensional transonic flow fields,” Opt. Eng. 24, 429–434 (1985).

C. Tian, Y. Yang, D. Liu, Y. Luo, and Y. Zhuo, “Demodulation of a single complex fringe interferogram with a path-independent regularized phase-tracking technique,” Appl. Opt. 49, 170–179 (2010).

[CrossRef]
[PubMed]

C. Tian, Y. Yang, S. Zhang, D. Liu, Y. Luo, and Y. Zhuo, “Regularized frequency-stabilizing method for single closed-fringe interferogram demodulation,” Opt. Lett. 35, 1837–1839(2010).

[CrossRef]
[PubMed]

C. Tian, Y. Yang, Y. Zhuo, T. Ling, and H. Li, “Polynomial approximation method for tomographic reconstruction of three-dimensional refractive index fields with limited data,” Opt. Lasers Eng. (to be published).

D. W. Sweeney and C. M. Vest, “Reconstruction of three-dimensional refractive index fields from multidirectional interferometric data,” Appl. Opt. 12, 2649–2664 (1973).

[CrossRef]
[PubMed]

C. Söller, R. Wenskus, P. Middendorf, G. E. A. Meier, and F. Obermeier, “Interferometric tomography for flow visualization of density fields in supersonic jets and convective flow,” Appl. Opt. 33, 2921–2932 (1994).

[CrossRef]
[PubMed]

S. Bahl and J. A. Liburdy, “Three-dimensional image reconstruction using interferometric data from a limited field of view with noise,” Appl. Opt. 30, 4218–4226 (1991).

[CrossRef]
[PubMed]

Y. Song, B. Zhang, and A. He, “Algebraic iterative algorithm for deflection tomography and its application to density flow fields in a hypersonic wind tunnel,” Appl. Opt. 45, 8092–8101(2006).

[CrossRef]
[PubMed]

D. Verhoeven, “Limited-data computed tomography algorithms for the physical sciences,” Appl. Opt. 32, 3736–3754(1993).

[CrossRef]
[PubMed]

S. S. Cha and H. Sun, “Tomography for reconstructing continuous fields from ill-posed multidirectional interferometric data,” Appl. Opt. 29, 251–258 (1990).

[CrossRef]
[PubMed]

D. Mishra, J. P. Longtin, R. P. Singh, and V. Prasad, “Performance evaluation of iterative tomography algorithms for incomplete projection data,” Appl. Opt. 43, 1522–1532 (2004).

[CrossRef]
[PubMed]

M. Servin, J. L. Marroquin, and F. J. Cuevas, “Demodulation of a single interferogram by use of a two-dimensional regularized phase-tracking technique,” Appl. Opt. 36, 4540–4548(1997).

[CrossRef]
[PubMed]

C. Tian, Y. Yang, D. Liu, Y. Luo, and Y. Zhuo, “Demodulation of a single complex fringe interferogram with a path-independent regularized phase-tracking technique,” Appl. Opt. 49, 170–179 (2010).

[CrossRef]
[PubMed]

J. Y. Wang and D. E. Silva, “Wave-front interpretation with Zernike polynomials,” Appl. Opt. 19, 1510–1518 (1980).

[CrossRef]
[PubMed]

Y. Zhang and G. A. Ruff, “Reconstruction of refractive index fields by using relative fringe data,” Appl. Opt. 32, 2921–2926(1993).

[CrossRef]
[PubMed]

R. D. Matulka and D. J. Collins, “Determination of three-dimensional density fields from holographic interferograms,” J. Appl. Phys. 42, 1109–1119 (1971).

[CrossRef]

R. Gordon, R. Bender, and G. T. Herman, “Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography,” J. Theor. Biol. 29, 471–481(1970).

[CrossRef]
[PubMed]

J. A. Quiroga, J. Antonio Gomez-Pedrero, and A. Garcia-Botella, “Algorithm for fringe pattern normalization,” Opt. Commun. 197, 43–51 (2001).

[CrossRef]

F. Becker and Y. H. Yu, “Digital fringe reduction techniques applied to the measurement of three-dimensional transonic flow fields,” Opt. Eng. 24, 429–434 (1985).

C. Shakher and A. K. Nirala, “A review on refractive index and temperature profile measurements using laser-based interferometric techniques,” Opt. Lasers Eng. 31, 455–491 (1999).

[CrossRef]

Y. Wei, D. Yan, and S. S. Cha, “Comparison of results of interferometric phase extraction algorithms for three-dimensional flow-field tomography,” Opt. Lasers Eng. 32, 147–155 (1999).

[CrossRef]

H. X. Wang, K. Li, and Q. Kemao, “Frequency guided methods for demodulation of a single fringe pattern with quadratic phase matching,” Opt. Lasers Eng. 49, 564–569 (2011).

[CrossRef]

C. Tian, Y. Yang, Y. Zhuo, T. Ling, and H. Li, “Polynomial approximation method for tomographic reconstruction of three-dimensional refractive index fields with limited data,” Opt. Lasers Eng. (to be published).

S. R. Deans, The Radon Transform and Some of Its Applications (Krieger, 1992).

G. H. Golub, Matrix Computation, 3rd ed. (Johns Hopkins University Press, 1996).

T. Kreis, Handbook of Holographic Interferometry—Optical and Digital Methods (Wiley, 2005).

D. Malacara, Optical Shop Testing, 2nd ed. (Wiley, 1992).

A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (IEEE, 1999).