Abstract

A line-scanning tomographic optical microscope system requires precise rotation of the scanning line. Center of rotation error introduced by both the imprecision of optical and mechanical components is studied experimentally and via simulations. It was shown that a practical tolerance limit can be chosen where the influence of the investigated error on the reconstructed image quality remains insignificant. An effective and simply practical solution was presented to keep the center of rotation error below this tolerance limit and the spatial resolution of the reconstructed image close to the diffraction limit.

© 2012 Optical Society of America

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  1. G. Gajdátsy, L. Dudás, M. Erdélyi, and G. Szabó; “Line-scanning tomographic optical microscope with isotropic transfer function,” J. Opt. 12, 115505 (2010).
    [CrossRef]
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    [CrossRef]
  3. K. Iizuka, Engineering Optics, 2nd ed. (Springer-Verlag, 1987).
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    [CrossRef]
  6. J. Sharpe, “Optical projection tomography,” U.S. patent application 10/522,932 (29Aug.2003).
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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2011

2010

G. Gajdátsy, L. Dudás, M. Erdélyi, and G. Szabó; “Line-scanning tomographic optical microscope with isotropic transfer function,” J. Opt. 12, 115505 (2010).
[CrossRef]

2009

2008

A. Sasov, X. Liu, and P. L. Salmon, “Compensation of mechanical inaccuracies in micro-CT and nano-CT,” Proc. SPIE 7078, 70781C (2008).
[CrossRef]

2007

Y. Sun, Y. Hou, and J. Hu, “Reduction of artifacts induced by misaligned geometry in cone-beam CT,” IEEE Biomed. Eng. 54, 1461–1471 (2007).
[CrossRef]

J. Kim, D. Shin, D. Yun, and C. Han, “The analysis of radial/axial error motion on a precision rotation stage,” Int. J. Electr. Electron. Eng. 1, 248–252 (2007).

A. M. Zysk, F. T. Nguyen, A. L. Oldenburg, D. L. Marks, and S. A. Boppart, “Optical coherence tomography: a review of clinical development from bench to bedside,” J. Biomed. Opt. 12, 051403 (2007).
[CrossRef]

2006

2004

2002

V. Lauer, “New approach to optical diffraction tomography yielding a vector equation of diffraction tomography and a novel tomographic microscope,” J. Microsc. 205, 165–176 (2002).
[CrossRef]

J. Sharpe, U. Ahlgren, P. Perry, B. Hill, A. Ross, J. Hecksher-Sørensen, R. Baldock, and D. Davidson, “Optical projection tomography as a tool for 3D microscopy and gene expression studies,” Science 296, 541–545 (2002).
[CrossRef]

2001

M. Karolczak, K. Engelke, A. Lutz, U. Taubenreuther, and W. Kalender, “Implementation of a cone-beam reconstruction algorithm for the single-circle source orbit with embedded misalignment correction using homogeneous coordinates,” Med. Phys. 28, 2050–2069 (2001).
[CrossRef]

1987

G. T. Gullberg, B. M. W. Tsui, C. R. Crawford, and E. R. Edgerton, “Estimation of geometrical parameters for fan beam tomography,” Phys. Med. Biol. 32, 1581–1594 (1987).
[CrossRef]

1972

Ahlgren, U.

J. Sharpe, U. Ahlgren, P. Perry, B. Hill, A. Ross, J. Hecksher-Sørensen, R. Baldock, and D. Davidson, “Optical projection tomography as a tool for 3D microscopy and gene expression studies,” Science 296, 541–545 (2002).
[CrossRef]

Azevedo, S. G.

F. L. Barnes, S. G. Azevedo, H. E. Martz, G. P. Roberson, D. J. Schneberk, and M. F. Skeate, “Geometric effects in tomographic reconstruction” (Lawrence Livermore National Laboratory, 1990), http://www.osti.gov/bridge/servlets/purl/6242117-ptTuRO/6242117.pdf .

Badizadegan, K.

Bajraszewski, T.

Baldock, R.

J. Sharpe, U. Ahlgren, P. Perry, B. Hill, A. Ross, J. Hecksher-Sørensen, R. Baldock, and D. Davidson, “Optical projection tomography as a tool for 3D microscopy and gene expression studies,” Science 296, 541–545 (2002).
[CrossRef]

Barnes, F. L.

F. L. Barnes, S. G. Azevedo, H. E. Martz, G. P. Roberson, D. J. Schneberk, and M. F. Skeate, “Geometric effects in tomographic reconstruction” (Lawrence Livermore National Laboratory, 1990), http://www.osti.gov/bridge/servlets/purl/6242117-ptTuRO/6242117.pdf .

Beckmann, F.

Boppart, S. A.

A. M. Zysk, F. T. Nguyen, A. L. Oldenburg, D. L. Marks, and S. A. Boppart, “Optical coherence tomography: a review of clinical development from bench to bedside,” J. Biomed. Opt. 12, 051403 (2007).
[CrossRef]

Choi, W.

Clackdoyle, R.

C. Mennessier, R. Clackdoyle, and F. Noo, “Direct determination of geometric alignment parameters for cone-beam scanners,” Phys. Med. Biol. 54, 1633 (2009).
[CrossRef]

Crawford, C. R.

G. T. Gullberg, B. M. W. Tsui, C. R. Crawford, and E. R. Edgerton, “Estimation of geometrical parameters for fan beam tomography,” Phys. Med. Biol. 32, 1581–1594 (1987).
[CrossRef]

Dasari, R. R.

Davidson, D.

J. Sharpe, U. Ahlgren, P. Perry, B. Hill, A. Ross, J. Hecksher-Sørensen, R. Baldock, and D. Davidson, “Optical projection tomography as a tool for 3D microscopy and gene expression studies,” Science 296, 541–545 (2002).
[CrossRef]

Donath, T.

Drexler, W.

Dudás, L.

J. Sinkó, L. Dudás, G. Gajdátsy, M. Erdélyi, and G. Szabó, “Map-free line-scanning tomographic optical microscope,” Opt. Lett. 36, 4011–4013 (2011).
[CrossRef]

G. Gajdátsy, L. Dudás, M. Erdélyi, and G. Szabó; “Line-scanning tomographic optical microscope with isotropic transfer function,” J. Opt. 12, 115505 (2010).
[CrossRef]

Edgerton, E. R.

G. T. Gullberg, B. M. W. Tsui, C. R. Crawford, and E. R. Edgerton, “Estimation of geometrical parameters for fan beam tomography,” Phys. Med. Biol. 32, 1581–1594 (1987).
[CrossRef]

Engelke, K.

M. Karolczak, K. Engelke, A. Lutz, U. Taubenreuther, and W. Kalender, “Implementation of a cone-beam reconstruction algorithm for the single-circle source orbit with embedded misalignment correction using homogeneous coordinates,” Med. Phys. 28, 2050–2069 (2001).
[CrossRef]

Erdélyi, M.

J. Sinkó, L. Dudás, G. Gajdátsy, M. Erdélyi, and G. Szabó, “Map-free line-scanning tomographic optical microscope,” Opt. Lett. 36, 4011–4013 (2011).
[CrossRef]

G. Gajdátsy, L. Dudás, M. Erdélyi, and G. Szabó; “Line-scanning tomographic optical microscope with isotropic transfer function,” J. Opt. 12, 115505 (2010).
[CrossRef]

Fang-Yen, C.

Feld, M. S.

Fercher, A.

Gajdátsy, G.

J. Sinkó, L. Dudás, G. Gajdátsy, M. Erdélyi, and G. Szabó, “Map-free line-scanning tomographic optical microscope,” Opt. Lett. 36, 4011–4013 (2011).
[CrossRef]

G. Gajdátsy, L. Dudás, M. Erdélyi, and G. Szabó; “Line-scanning tomographic optical microscope with isotropic transfer function,” J. Opt. 12, 115505 (2010).
[CrossRef]

Gullberg, G. T.

G. T. Gullberg, B. M. W. Tsui, C. R. Crawford, and E. R. Edgerton, “Estimation of geometrical parameters for fan beam tomography,” Phys. Med. Biol. 32, 1581–1594 (1987).
[CrossRef]

Han, C.

J. Kim, D. Shin, D. Yun, and C. Han, “The analysis of radial/axial error motion on a precision rotation stage,” Int. J. Electr. Electron. Eng. 1, 248–252 (2007).

Hecksher-Sørensen, J.

J. Sharpe, U. Ahlgren, P. Perry, B. Hill, A. Ross, J. Hecksher-Sørensen, R. Baldock, and D. Davidson, “Optical projection tomography as a tool for 3D microscopy and gene expression studies,” Science 296, 541–545 (2002).
[CrossRef]

Hendee, W. R.

W. R. Hendee and E. R. Ritenour, Medical Imaging Physics, 4th ed. (Wiley-Liss, 2002).

Hermann, B.

Hill, B.

J. Sharpe, U. Ahlgren, P. Perry, B. Hill, A. Ross, J. Hecksher-Sørensen, R. Baldock, and D. Davidson, “Optical projection tomography as a tool for 3D microscopy and gene expression studies,” Science 296, 541–545 (2002).
[CrossRef]

Hou, Y.

Y. Sun, Y. Hou, and J. Hu, “Reduction of artifacts induced by misaligned geometry in cone-beam CT,” IEEE Biomed. Eng. 54, 1461–1471 (2007).
[CrossRef]

Hu, J.

Y. Sun, Y. Hou, and J. Hu, “Reduction of artifacts induced by misaligned geometry in cone-beam CT,” IEEE Biomed. Eng. 54, 1461–1471 (2007).
[CrossRef]

Iizuka, K.

K. Iizuka, Engineering Optics, 2nd ed. (Springer-Verlag, 1987).

Kalender, W.

M. Karolczak, K. Engelke, A. Lutz, U. Taubenreuther, and W. Kalender, “Implementation of a cone-beam reconstruction algorithm for the single-circle source orbit with embedded misalignment correction using homogeneous coordinates,” Med. Phys. 28, 2050–2069 (2001).
[CrossRef]

Karolczak, M.

M. Karolczak, K. Engelke, A. Lutz, U. Taubenreuther, and W. Kalender, “Implementation of a cone-beam reconstruction algorithm for the single-circle source orbit with embedded misalignment correction using homogeneous coordinates,” Med. Phys. 28, 2050–2069 (2001).
[CrossRef]

Kim, J.

J. Kim, D. Shin, D. Yun, and C. Han, “The analysis of radial/axial error motion on a precision rotation stage,” Int. J. Electr. Electron. Eng. 1, 248–252 (2007).

Lauer, V.

V. Lauer, “New approach to optical diffraction tomography yielding a vector equation of diffraction tomography and a novel tomographic microscope,” J. Microsc. 205, 165–176 (2002).
[CrossRef]

Lawrence, J. D.

J. D. Lawrence, A Catalog of Special Plane Curves (Dover, 1972), pp. 113–118.

Le, T.

Leitgeb, R. A.

Liu, X.

A. Sasov, X. Liu, and P. L. Salmon, “Compensation of mechanical inaccuracies in micro-CT and nano-CT,” Proc. SPIE 7078, 70781C (2008).
[CrossRef]

Lutz, A.

M. Karolczak, K. Engelke, A. Lutz, U. Taubenreuther, and W. Kalender, “Implementation of a cone-beam reconstruction algorithm for the single-circle source orbit with embedded misalignment correction using homogeneous coordinates,” Med. Phys. 28, 2050–2069 (2001).
[CrossRef]

Marks, D. L.

A. M. Zysk, F. T. Nguyen, A. L. Oldenburg, D. L. Marks, and S. A. Boppart, “Optical coherence tomography: a review of clinical development from bench to bedside,” J. Biomed. Opt. 12, 051403 (2007).
[CrossRef]

Martz, H. E.

F. L. Barnes, S. G. Azevedo, H. E. Martz, G. P. Roberson, D. J. Schneberk, and M. F. Skeate, “Geometric effects in tomographic reconstruction” (Lawrence Livermore National Laboratory, 1990), http://www.osti.gov/bridge/servlets/purl/6242117-ptTuRO/6242117.pdf .

Mennessier, C.

C. Mennessier, R. Clackdoyle, and F. Noo, “Direct determination of geometric alignment parameters for cone-beam scanners,” Phys. Med. Biol. 54, 1633 (2009).
[CrossRef]

Nguyen, F. T.

A. M. Zysk, F. T. Nguyen, A. L. Oldenburg, D. L. Marks, and S. A. Boppart, “Optical coherence tomography: a review of clinical development from bench to bedside,” J. Biomed. Opt. 12, 051403 (2007).
[CrossRef]

Noo, F.

C. Mennessier, R. Clackdoyle, and F. Noo, “Direct determination of geometric alignment parameters for cone-beam scanners,” Phys. Med. Biol. 54, 1633 (2009).
[CrossRef]

Oldenburg, A. L.

A. M. Zysk, F. T. Nguyen, A. L. Oldenburg, D. L. Marks, and S. A. Boppart, “Optical coherence tomography: a review of clinical development from bench to bedside,” J. Biomed. Opt. 12, 051403 (2007).
[CrossRef]

Perry, P.

J. Sharpe, U. Ahlgren, P. Perry, B. Hill, A. Ross, J. Hecksher-Sørensen, R. Baldock, and D. Davidson, “Optical projection tomography as a tool for 3D microscopy and gene expression studies,” Science 296, 541–545 (2002).
[CrossRef]

Richardson, T. M.

T. M. Richardson, “Test slide for microscopes and method for the production of such a slide,” U.S. patent application 2004/0227937 A1 (18Nov.2004).

Ritenour, E. R.

W. R. Hendee and E. R. Ritenour, Medical Imaging Physics, 4th ed. (Wiley-Liss, 2002).

Roberson, G. P.

F. L. Barnes, S. G. Azevedo, H. E. Martz, G. P. Roberson, D. J. Schneberk, and M. F. Skeate, “Geometric effects in tomographic reconstruction” (Lawrence Livermore National Laboratory, 1990), http://www.osti.gov/bridge/servlets/purl/6242117-ptTuRO/6242117.pdf .

Ross, A.

J. Sharpe, U. Ahlgren, P. Perry, B. Hill, A. Ross, J. Hecksher-Sørensen, R. Baldock, and D. Davidson, “Optical projection tomography as a tool for 3D microscopy and gene expression studies,” Science 296, 541–545 (2002).
[CrossRef]

Salmon, P. L.

A. Sasov, X. Liu, and P. L. Salmon, “Compensation of mechanical inaccuracies in micro-CT and nano-CT,” Proc. SPIE 7078, 70781C (2008).
[CrossRef]

Sasov, A.

A. Sasov, X. Liu, and P. L. Salmon, “Compensation of mechanical inaccuracies in micro-CT and nano-CT,” Proc. SPIE 7078, 70781C (2008).
[CrossRef]

Schneberk, D. J.

F. L. Barnes, S. G. Azevedo, H. E. Martz, G. P. Roberson, D. J. Schneberk, and M. F. Skeate, “Geometric effects in tomographic reconstruction” (Lawrence Livermore National Laboratory, 1990), http://www.osti.gov/bridge/servlets/purl/6242117-ptTuRO/6242117.pdf .

Schreyer, A.

Sharpe, J.

J. Sharpe, U. Ahlgren, P. Perry, B. Hill, A. Ross, J. Hecksher-Sørensen, R. Baldock, and D. Davidson, “Optical projection tomography as a tool for 3D microscopy and gene expression studies,” Science 296, 541–545 (2002).
[CrossRef]

J. Sharpe, “Optical projection tomography,” U.S. patent application 10/522,932 (29Aug.2003).

Shin, D.

J. Kim, D. Shin, D. Yun, and C. Han, “The analysis of radial/axial error motion on a precision rotation stage,” Int. J. Electr. Electron. Eng. 1, 248–252 (2007).

Sinkó, J.

Skeate, M. F.

F. L. Barnes, S. G. Azevedo, H. E. Martz, G. P. Roberson, D. J. Schneberk, and M. F. Skeate, “Geometric effects in tomographic reconstruction” (Lawrence Livermore National Laboratory, 1990), http://www.osti.gov/bridge/servlets/purl/6242117-ptTuRO/6242117.pdf .

Sullivan, D. L.

Sun, Y.

Y. Sun, Y. Hou, and J. Hu, “Reduction of artifacts induced by misaligned geometry in cone-beam CT,” IEEE Biomed. Eng. 54, 1461–1471 (2007).
[CrossRef]

Sung, Y.

Szabó, G.

J. Sinkó, L. Dudás, G. Gajdátsy, M. Erdélyi, and G. Szabó, “Map-free line-scanning tomographic optical microscope,” Opt. Lett. 36, 4011–4013 (2011).
[CrossRef]

G. Gajdátsy, L. Dudás, M. Erdélyi, and G. Szabó; “Line-scanning tomographic optical microscope with isotropic transfer function,” J. Opt. 12, 115505 (2010).
[CrossRef]

Taubenreuther, U.

M. Karolczak, K. Engelke, A. Lutz, U. Taubenreuther, and W. Kalender, “Implementation of a cone-beam reconstruction algorithm for the single-circle source orbit with embedded misalignment correction using homogeneous coordinates,” Med. Phys. 28, 2050–2069 (2001).
[CrossRef]

Tsui, B. M. W.

G. T. Gullberg, B. M. W. Tsui, C. R. Crawford, and E. R. Edgerton, “Estimation of geometrical parameters for fan beam tomography,” Phys. Med. Biol. 32, 1581–1594 (1987).
[CrossRef]

Unterhuber, A.

Yun, D.

J. Kim, D. Shin, D. Yun, and C. Han, “The analysis of radial/axial error motion on a precision rotation stage,” Int. J. Electr. Electron. Eng. 1, 248–252 (2007).

Zysk, A. M.

A. M. Zysk, F. T. Nguyen, A. L. Oldenburg, D. L. Marks, and S. A. Boppart, “Optical coherence tomography: a review of clinical development from bench to bedside,” J. Biomed. Opt. 12, 051403 (2007).
[CrossRef]

Appl. Opt.

IEEE Biomed. Eng.

Y. Sun, Y. Hou, and J. Hu, “Reduction of artifacts induced by misaligned geometry in cone-beam CT,” IEEE Biomed. Eng. 54, 1461–1471 (2007).
[CrossRef]

Int. J. Electr. Electron. Eng.

J. Kim, D. Shin, D. Yun, and C. Han, “The analysis of radial/axial error motion on a precision rotation stage,” Int. J. Electr. Electron. Eng. 1, 248–252 (2007).

J. Biomed. Opt.

A. M. Zysk, F. T. Nguyen, A. L. Oldenburg, D. L. Marks, and S. A. Boppart, “Optical coherence tomography: a review of clinical development from bench to bedside,” J. Biomed. Opt. 12, 051403 (2007).
[CrossRef]

J. Microsc.

V. Lauer, “New approach to optical diffraction tomography yielding a vector equation of diffraction tomography and a novel tomographic microscope,” J. Microsc. 205, 165–176 (2002).
[CrossRef]

J. Opt.

G. Gajdátsy, L. Dudás, M. Erdélyi, and G. Szabó; “Line-scanning tomographic optical microscope with isotropic transfer function,” J. Opt. 12, 115505 (2010).
[CrossRef]

J. Opt. Soc. Am. A

Med. Phys.

M. Karolczak, K. Engelke, A. Lutz, U. Taubenreuther, and W. Kalender, “Implementation of a cone-beam reconstruction algorithm for the single-circle source orbit with embedded misalignment correction using homogeneous coordinates,” Med. Phys. 28, 2050–2069 (2001).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Med. Biol.

G. T. Gullberg, B. M. W. Tsui, C. R. Crawford, and E. R. Edgerton, “Estimation of geometrical parameters for fan beam tomography,” Phys. Med. Biol. 32, 1581–1594 (1987).
[CrossRef]

C. Mennessier, R. Clackdoyle, and F. Noo, “Direct determination of geometric alignment parameters for cone-beam scanners,” Phys. Med. Biol. 54, 1633 (2009).
[CrossRef]

Proc. SPIE

A. Sasov, X. Liu, and P. L. Salmon, “Compensation of mechanical inaccuracies in micro-CT and nano-CT,” Proc. SPIE 7078, 70781C (2008).
[CrossRef]

Science

J. Sharpe, U. Ahlgren, P. Perry, B. Hill, A. Ross, J. Hecksher-Sørensen, R. Baldock, and D. Davidson, “Optical projection tomography as a tool for 3D microscopy and gene expression studies,” Science 296, 541–545 (2002).
[CrossRef]

Other

J. Sharpe, “Optical projection tomography,” U.S. patent application 10/522,932 (29Aug.2003).

K. Iizuka, Engineering Optics, 2nd ed. (Springer-Verlag, 1987).

W. R. Hendee and E. R. Ritenour, Medical Imaging Physics, 4th ed. (Wiley-Liss, 2002).

F. L. Barnes, S. G. Azevedo, H. E. Martz, G. P. Roberson, D. J. Schneberk, and M. F. Skeate, “Geometric effects in tomographic reconstruction” (Lawrence Livermore National Laboratory, 1990), http://www.osti.gov/bridge/servlets/purl/6242117-ptTuRO/6242117.pdf .

J. D. Lawrence, A Catalog of Special Plane Curves (Dover, 1972), pp. 113–118.

T. M. Richardson, “Test slide for microscopes and method for the production of such a slide,” U.S. patent application 2004/0227937 A1 (18Nov.2004).

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Figures (7)

Fig. 1.
Fig. 1.

Ideal (a) and misaligned (b) data acquisition in LSTOM.

Fig. 2.
Fig. 2.

Reconstructed PLO-s: (a) error-free, (b) R/10 DC shift, (c) R/5 DC shift, (d) R/3 DC shift captured over 360°, and (e) the effect of constant shift COR error.

Fig. 3.
Fig. 3.

Simulated Richardson Star patterns: (a) error-free, (b) constant error (DC), and (c) random error with μ=0 and σ=R/5.

Fig. 4.
Fig. 4.

Schematic view of experimental setup.

Fig. 5.
Fig. 5.

(a) Example of measured and fitted Y functions and (b) components of fit.

Fig. 6.
Fig. 6.

(a) Emerged COR error in case of single fluorescent bead, (b) effect of compensation on the same single fluorescent bead, (c) contour plot of corrected image of bead, and (d) measured Y function of the same single fluorescent bead.

Fig. 7.
Fig. 7.

Reconstructed image of Convallaria majalis in (a) absence and in (b) presence of asynchronous motion error.

Equations (2)

Equations on this page are rendered with MathJax. Learn more.

R=0.5λNA,
Y(Φ)=A1sin(Φ+Φc,1)+A2sin(0.5·Φ+Φc,2)+d,

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