Abstract

The problem is considered of reconstructing, from a measurement of the total radiance distribution on an emitting surface, the radiance distribution that would be observed in the absence of reflected radiation. An explicit solution of the implied inverse problem is derived for the case in which the reflective properties of the surface are given in terms of a bidirectional reflection distribution function. Also considered are the limiting cases of diffuse and specular reflection. Practical considerations are discussed for application of the theory to the nonintrusive and remote measurement of temperatures and pressures on concave surfaces, either by traditional radiometry or by the use of thermographic phosphors and temperature- and pressure-sensitive paints.

© 2001 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. F. Grum, R. J. Becherer, Optical Radiation Measurements, Vol. 1: Radiometry (Academic, New York, 1979).
  2. R. W. Boyd, Radiometry and the Detection of Optical Radiation (Wiley, New York, 1983).
  3. E. F. Thacher, P. S. Giannola, “Radiometric measurement of temperature distributions in simple enclosures,” Exp. Heat Transfer 5, 217–236 (1992).
    [CrossRef]
  4. J. A. Smith, S. M. Goltz, “Updated thermal model using simplified short-wave radiosity calculations,” Remote Sens. Environ. 47, 167–175 (1994).
    [CrossRef]
  5. S. W. Allison, G. T. Gillies, “Remote thermometry with thermographic phosphors: instrumentation and applications,” Rev. Sci. Instrum. 68, 2615–2650 (1997), with 281 references.
    [CrossRef]
  6. L. N. Cattefesta, T. Liu, J. P. Sullivan, “Uncertainty estimates for temperature-sensitive paint measurements with charged-coupled device cameras,” AIAA J. 36, 2102–2108 (1998).
    [CrossRef]
  7. K. Asai, H. Kanda, T. Kunimasu, T. Liu, J. P. Sullivan, “Boundary-layer transition detection in a cryogenic wind tunnel using luminescent paint,” J. Aircr. 34, 34–42 (1997).
    [CrossRef]
  8. T. Liu, B. T. Campbell, S. P. Burns, J. P. Sullivan, “Temperature- and pressure-sensitive luminescent paints in aerodynamics,” Appl. Mech. Rev. 50, 227–246 (1997).
    [CrossRef]
  9. J. Kavandi, J. B. Callis, M. P. Gouterman, G. Khalil, D. Wright, E. Green, D. Burns, B. McLachlan, “Luminescent barometry in wind tunnels,” Rev. Sci. Instrum. 61, 3340–3347 (1990).
    [CrossRef]
  10. M. J. Morris, J. F. Donovan, J. T. Schwab, S. D. Levy, R. C. Crites, “Aerodynamics applications of pressure-sensitive paint,” AIAA J. 31, 419–425 (1993).
    [CrossRef]
  11. B. G. McLachlan, J. H. Bell, “Pressure-sensitive paint in aerodynamic testing,” Exp. Therm. Fluid Sci. 10, 470–485 (1995).
    [CrossRef]
  12. J. W. Holmes, “Analysis of radiometric, lifetime, and fluorescent lifetime imaging for pressure sensitive paint,” Aeronaut. J., 189–194 (April1998).
  13. J. L. Cogan, “Remote sensing of surface and near surface temperature from remotely piloted aircraft,” Appl. Opt. 24, 1030–1036 (1985).
    [CrossRef] [PubMed]
  14. R. R. Corwin, A. Rodenburgh, “Temperature error in radiation thermometry caused by emissivity and reflectance measurement error,” Appl. Opt. 33, 1950–1957 (1994).
    [CrossRef] [PubMed]
  15. W. L. Wolfe, “Effects of reflected background radiation on radiometric temperature measurements,” in Infrared Imaging Systems Technology, W. L. Wolfe, J. Zimmerman, eds., Proc. SPIE226, 133–135 (1980).
    [CrossRef]
  16. Y.-W. Zhang, C.-G. Zhang, V. Klemas, “Quantitative measurements of ambient radiation, emissivity, and truth temperature of a greybody: methods and experimental results,” Appl. Opt. 25, 3683–3689 (1986).
    [CrossRef] [PubMed]
  17. A. G. Jackson, “Infrared temperature measurements in the presence of reflected radiation,” (Arnold Engineering Development Center, Tullahoma, Tenn., 1990).
  18. A. P. Cracknell, “Method for the correction of sea temperature derived from satellite thermal infrared data in an area of sunglint,” Int. J. Remote Sens. 14, 3–8 (1993).
    [CrossRef]
  19. W. M. Ruyten, “Correction of self-illumination and spectral-leakage effects in luminescent-paint measurements,” Appl. Opt. 36, 3079–3085 (1997).
    [CrossRef] [PubMed]
  20. W. M. Ruyten, “Self-illumination calibration technique for luminescent-paint measurements,” Rev. Sci. Instrum. 68, 3452–3457 (1997).
    [CrossRef]
  21. J. H. Bell, B. G. McLachlan, “Image registration for pressure-sensitive paint applications,” Exp. Fluids 22, 78–86 (1996).
    [CrossRef]
  22. F. E. Nicodemus, “Directional reflectance and emissivity of an opaque surface,” Appl. Opt. 4, 767–773 (1965).
    [CrossRef]
  23. C. Asmail, “Bidirectional scattering distribution function (BSDF): a systematized bibliography,” J. Res. Natl. Inst. Stand. Technol. 96, 215–223 (1991).
    [CrossRef]
  24. R. S. Siegel, J. R. Howell, Thermal Radiation Heat Transfer, 2nd ed. (McGraw-Hill, New York, 1981), Sect. 3–5.
  25. A. F. Emery, O. Johansson, M. Lobo, A. Abrous, “A comparative study of methods for computing the diffuse radiation viewfactors for complex structures,” J. Heat Transfer 113, 413–422 (1991).
    [CrossRef]
  26. J. D. Foley, A. van Dam, S. K. Feiner, J. F. Hughes, Computer Graphics: Principles and Practice, 2nd ed. (Addison-Wesley, Reading, Mass., 1990), Sect. 16–13.
  27. F. X. Sillion, C. Puech, Radiosity and Global Illumination (Morgan Kaufmann, San Francisco, 1994), Chap. 3.
  28. D. Hart, P. Dutre, D. P. Greenberg, “Direct illumination with lazy visibility evaluation,” in Proceedings of the ACM SIGGRAPH Conference on Computer Graphics (Association for Computing Machinery, New York, 1999), pp. 147–154.
  29. J. E. Mason, J. R. Schott, C. Salvaggio, J. D. Sirianni, “Validation of contrast and phenomenology in the Digital Imaging and Remote Sensing (DIRS) lab’s image generation (DIRSIG) model,” in Infrared Technology XX, B. F. Andresen, ed., Proc. SPIE2269, 622–633 (1994).
    [CrossRef]
  30. W. S. Bickel, W. M. Bailey, “Stokes vectors, Mueller matrices, and polarized scattered light,” Am. J. Phys. 53, 468–478 (1985).
    [CrossRef]

1998 (2)

L. N. Cattefesta, T. Liu, J. P. Sullivan, “Uncertainty estimates for temperature-sensitive paint measurements with charged-coupled device cameras,” AIAA J. 36, 2102–2108 (1998).
[CrossRef]

J. W. Holmes, “Analysis of radiometric, lifetime, and fluorescent lifetime imaging for pressure sensitive paint,” Aeronaut. J., 189–194 (April1998).

1997 (5)

W. M. Ruyten, “Correction of self-illumination and spectral-leakage effects in luminescent-paint measurements,” Appl. Opt. 36, 3079–3085 (1997).
[CrossRef] [PubMed]

W. M. Ruyten, “Self-illumination calibration technique for luminescent-paint measurements,” Rev. Sci. Instrum. 68, 3452–3457 (1997).
[CrossRef]

K. Asai, H. Kanda, T. Kunimasu, T. Liu, J. P. Sullivan, “Boundary-layer transition detection in a cryogenic wind tunnel using luminescent paint,” J. Aircr. 34, 34–42 (1997).
[CrossRef]

T. Liu, B. T. Campbell, S. P. Burns, J. P. Sullivan, “Temperature- and pressure-sensitive luminescent paints in aerodynamics,” Appl. Mech. Rev. 50, 227–246 (1997).
[CrossRef]

S. W. Allison, G. T. Gillies, “Remote thermometry with thermographic phosphors: instrumentation and applications,” Rev. Sci. Instrum. 68, 2615–2650 (1997), with 281 references.
[CrossRef]

1996 (1)

J. H. Bell, B. G. McLachlan, “Image registration for pressure-sensitive paint applications,” Exp. Fluids 22, 78–86 (1996).
[CrossRef]

1995 (1)

B. G. McLachlan, J. H. Bell, “Pressure-sensitive paint in aerodynamic testing,” Exp. Therm. Fluid Sci. 10, 470–485 (1995).
[CrossRef]

1994 (2)

R. R. Corwin, A. Rodenburgh, “Temperature error in radiation thermometry caused by emissivity and reflectance measurement error,” Appl. Opt. 33, 1950–1957 (1994).
[CrossRef] [PubMed]

J. A. Smith, S. M. Goltz, “Updated thermal model using simplified short-wave radiosity calculations,” Remote Sens. Environ. 47, 167–175 (1994).
[CrossRef]

1993 (2)

M. J. Morris, J. F. Donovan, J. T. Schwab, S. D. Levy, R. C. Crites, “Aerodynamics applications of pressure-sensitive paint,” AIAA J. 31, 419–425 (1993).
[CrossRef]

A. P. Cracknell, “Method for the correction of sea temperature derived from satellite thermal infrared data in an area of sunglint,” Int. J. Remote Sens. 14, 3–8 (1993).
[CrossRef]

1992 (1)

E. F. Thacher, P. S. Giannola, “Radiometric measurement of temperature distributions in simple enclosures,” Exp. Heat Transfer 5, 217–236 (1992).
[CrossRef]

1991 (2)

C. Asmail, “Bidirectional scattering distribution function (BSDF): a systematized bibliography,” J. Res. Natl. Inst. Stand. Technol. 96, 215–223 (1991).
[CrossRef]

A. F. Emery, O. Johansson, M. Lobo, A. Abrous, “A comparative study of methods for computing the diffuse radiation viewfactors for complex structures,” J. Heat Transfer 113, 413–422 (1991).
[CrossRef]

1990 (1)

J. Kavandi, J. B. Callis, M. P. Gouterman, G. Khalil, D. Wright, E. Green, D. Burns, B. McLachlan, “Luminescent barometry in wind tunnels,” Rev. Sci. Instrum. 61, 3340–3347 (1990).
[CrossRef]

1986 (1)

1985 (2)

J. L. Cogan, “Remote sensing of surface and near surface temperature from remotely piloted aircraft,” Appl. Opt. 24, 1030–1036 (1985).
[CrossRef] [PubMed]

W. S. Bickel, W. M. Bailey, “Stokes vectors, Mueller matrices, and polarized scattered light,” Am. J. Phys. 53, 468–478 (1985).
[CrossRef]

1965 (1)

Abrous, A.

A. F. Emery, O. Johansson, M. Lobo, A. Abrous, “A comparative study of methods for computing the diffuse radiation viewfactors for complex structures,” J. Heat Transfer 113, 413–422 (1991).
[CrossRef]

Allison, S. W.

S. W. Allison, G. T. Gillies, “Remote thermometry with thermographic phosphors: instrumentation and applications,” Rev. Sci. Instrum. 68, 2615–2650 (1997), with 281 references.
[CrossRef]

Asai, K.

K. Asai, H. Kanda, T. Kunimasu, T. Liu, J. P. Sullivan, “Boundary-layer transition detection in a cryogenic wind tunnel using luminescent paint,” J. Aircr. 34, 34–42 (1997).
[CrossRef]

Asmail, C.

C. Asmail, “Bidirectional scattering distribution function (BSDF): a systematized bibliography,” J. Res. Natl. Inst. Stand. Technol. 96, 215–223 (1991).
[CrossRef]

Bailey, W. M.

W. S. Bickel, W. M. Bailey, “Stokes vectors, Mueller matrices, and polarized scattered light,” Am. J. Phys. 53, 468–478 (1985).
[CrossRef]

Becherer, R. J.

F. Grum, R. J. Becherer, Optical Radiation Measurements, Vol. 1: Radiometry (Academic, New York, 1979).

Bell, J. H.

J. H. Bell, B. G. McLachlan, “Image registration for pressure-sensitive paint applications,” Exp. Fluids 22, 78–86 (1996).
[CrossRef]

B. G. McLachlan, J. H. Bell, “Pressure-sensitive paint in aerodynamic testing,” Exp. Therm. Fluid Sci. 10, 470–485 (1995).
[CrossRef]

Bickel, W. S.

W. S. Bickel, W. M. Bailey, “Stokes vectors, Mueller matrices, and polarized scattered light,” Am. J. Phys. 53, 468–478 (1985).
[CrossRef]

Boyd, R. W.

R. W. Boyd, Radiometry and the Detection of Optical Radiation (Wiley, New York, 1983).

Burns, D.

J. Kavandi, J. B. Callis, M. P. Gouterman, G. Khalil, D. Wright, E. Green, D. Burns, B. McLachlan, “Luminescent barometry in wind tunnels,” Rev. Sci. Instrum. 61, 3340–3347 (1990).
[CrossRef]

Burns, S. P.

T. Liu, B. T. Campbell, S. P. Burns, J. P. Sullivan, “Temperature- and pressure-sensitive luminescent paints in aerodynamics,” Appl. Mech. Rev. 50, 227–246 (1997).
[CrossRef]

Callis, J. B.

J. Kavandi, J. B. Callis, M. P. Gouterman, G. Khalil, D. Wright, E. Green, D. Burns, B. McLachlan, “Luminescent barometry in wind tunnels,” Rev. Sci. Instrum. 61, 3340–3347 (1990).
[CrossRef]

Campbell, B. T.

T. Liu, B. T. Campbell, S. P. Burns, J. P. Sullivan, “Temperature- and pressure-sensitive luminescent paints in aerodynamics,” Appl. Mech. Rev. 50, 227–246 (1997).
[CrossRef]

Cattefesta, L. N.

L. N. Cattefesta, T. Liu, J. P. Sullivan, “Uncertainty estimates for temperature-sensitive paint measurements with charged-coupled device cameras,” AIAA J. 36, 2102–2108 (1998).
[CrossRef]

Cogan, J. L.

Corwin, R. R.

Cracknell, A. P.

A. P. Cracknell, “Method for the correction of sea temperature derived from satellite thermal infrared data in an area of sunglint,” Int. J. Remote Sens. 14, 3–8 (1993).
[CrossRef]

Crites, R. C.

M. J. Morris, J. F. Donovan, J. T. Schwab, S. D. Levy, R. C. Crites, “Aerodynamics applications of pressure-sensitive paint,” AIAA J. 31, 419–425 (1993).
[CrossRef]

Donovan, J. F.

M. J. Morris, J. F. Donovan, J. T. Schwab, S. D. Levy, R. C. Crites, “Aerodynamics applications of pressure-sensitive paint,” AIAA J. 31, 419–425 (1993).
[CrossRef]

Dutre, P.

D. Hart, P. Dutre, D. P. Greenberg, “Direct illumination with lazy visibility evaluation,” in Proceedings of the ACM SIGGRAPH Conference on Computer Graphics (Association for Computing Machinery, New York, 1999), pp. 147–154.

Emery, A. F.

A. F. Emery, O. Johansson, M. Lobo, A. Abrous, “A comparative study of methods for computing the diffuse radiation viewfactors for complex structures,” J. Heat Transfer 113, 413–422 (1991).
[CrossRef]

Feiner, S. K.

J. D. Foley, A. van Dam, S. K. Feiner, J. F. Hughes, Computer Graphics: Principles and Practice, 2nd ed. (Addison-Wesley, Reading, Mass., 1990), Sect. 16–13.

Foley, J. D.

J. D. Foley, A. van Dam, S. K. Feiner, J. F. Hughes, Computer Graphics: Principles and Practice, 2nd ed. (Addison-Wesley, Reading, Mass., 1990), Sect. 16–13.

Giannola, P. S.

E. F. Thacher, P. S. Giannola, “Radiometric measurement of temperature distributions in simple enclosures,” Exp. Heat Transfer 5, 217–236 (1992).
[CrossRef]

Gillies, G. T.

S. W. Allison, G. T. Gillies, “Remote thermometry with thermographic phosphors: instrumentation and applications,” Rev. Sci. Instrum. 68, 2615–2650 (1997), with 281 references.
[CrossRef]

Goltz, S. M.

J. A. Smith, S. M. Goltz, “Updated thermal model using simplified short-wave radiosity calculations,” Remote Sens. Environ. 47, 167–175 (1994).
[CrossRef]

Gouterman, M. P.

J. Kavandi, J. B. Callis, M. P. Gouterman, G. Khalil, D. Wright, E. Green, D. Burns, B. McLachlan, “Luminescent barometry in wind tunnels,” Rev. Sci. Instrum. 61, 3340–3347 (1990).
[CrossRef]

Green, E.

J. Kavandi, J. B. Callis, M. P. Gouterman, G. Khalil, D. Wright, E. Green, D. Burns, B. McLachlan, “Luminescent barometry in wind tunnels,” Rev. Sci. Instrum. 61, 3340–3347 (1990).
[CrossRef]

Greenberg, D. P.

D. Hart, P. Dutre, D. P. Greenberg, “Direct illumination with lazy visibility evaluation,” in Proceedings of the ACM SIGGRAPH Conference on Computer Graphics (Association for Computing Machinery, New York, 1999), pp. 147–154.

Grum, F.

F. Grum, R. J. Becherer, Optical Radiation Measurements, Vol. 1: Radiometry (Academic, New York, 1979).

Hart, D.

D. Hart, P. Dutre, D. P. Greenberg, “Direct illumination with lazy visibility evaluation,” in Proceedings of the ACM SIGGRAPH Conference on Computer Graphics (Association for Computing Machinery, New York, 1999), pp. 147–154.

Holmes, J. W.

J. W. Holmes, “Analysis of radiometric, lifetime, and fluorescent lifetime imaging for pressure sensitive paint,” Aeronaut. J., 189–194 (April1998).

Howell, J. R.

R. S. Siegel, J. R. Howell, Thermal Radiation Heat Transfer, 2nd ed. (McGraw-Hill, New York, 1981), Sect. 3–5.

Hughes, J. F.

J. D. Foley, A. van Dam, S. K. Feiner, J. F. Hughes, Computer Graphics: Principles and Practice, 2nd ed. (Addison-Wesley, Reading, Mass., 1990), Sect. 16–13.

Jackson, A. G.

A. G. Jackson, “Infrared temperature measurements in the presence of reflected radiation,” (Arnold Engineering Development Center, Tullahoma, Tenn., 1990).

Johansson, O.

A. F. Emery, O. Johansson, M. Lobo, A. Abrous, “A comparative study of methods for computing the diffuse radiation viewfactors for complex structures,” J. Heat Transfer 113, 413–422 (1991).
[CrossRef]

Kanda, H.

K. Asai, H. Kanda, T. Kunimasu, T. Liu, J. P. Sullivan, “Boundary-layer transition detection in a cryogenic wind tunnel using luminescent paint,” J. Aircr. 34, 34–42 (1997).
[CrossRef]

Kavandi, J.

J. Kavandi, J. B. Callis, M. P. Gouterman, G. Khalil, D. Wright, E. Green, D. Burns, B. McLachlan, “Luminescent barometry in wind tunnels,” Rev. Sci. Instrum. 61, 3340–3347 (1990).
[CrossRef]

Khalil, G.

J. Kavandi, J. B. Callis, M. P. Gouterman, G. Khalil, D. Wright, E. Green, D. Burns, B. McLachlan, “Luminescent barometry in wind tunnels,” Rev. Sci. Instrum. 61, 3340–3347 (1990).
[CrossRef]

Klemas, V.

Kunimasu, T.

K. Asai, H. Kanda, T. Kunimasu, T. Liu, J. P. Sullivan, “Boundary-layer transition detection in a cryogenic wind tunnel using luminescent paint,” J. Aircr. 34, 34–42 (1997).
[CrossRef]

Levy, S. D.

M. J. Morris, J. F. Donovan, J. T. Schwab, S. D. Levy, R. C. Crites, “Aerodynamics applications of pressure-sensitive paint,” AIAA J. 31, 419–425 (1993).
[CrossRef]

Liu, T.

L. N. Cattefesta, T. Liu, J. P. Sullivan, “Uncertainty estimates for temperature-sensitive paint measurements with charged-coupled device cameras,” AIAA J. 36, 2102–2108 (1998).
[CrossRef]

T. Liu, B. T. Campbell, S. P. Burns, J. P. Sullivan, “Temperature- and pressure-sensitive luminescent paints in aerodynamics,” Appl. Mech. Rev. 50, 227–246 (1997).
[CrossRef]

K. Asai, H. Kanda, T. Kunimasu, T. Liu, J. P. Sullivan, “Boundary-layer transition detection in a cryogenic wind tunnel using luminescent paint,” J. Aircr. 34, 34–42 (1997).
[CrossRef]

Lobo, M.

A. F. Emery, O. Johansson, M. Lobo, A. Abrous, “A comparative study of methods for computing the diffuse radiation viewfactors for complex structures,” J. Heat Transfer 113, 413–422 (1991).
[CrossRef]

Mason, J. E.

J. E. Mason, J. R. Schott, C. Salvaggio, J. D. Sirianni, “Validation of contrast and phenomenology in the Digital Imaging and Remote Sensing (DIRS) lab’s image generation (DIRSIG) model,” in Infrared Technology XX, B. F. Andresen, ed., Proc. SPIE2269, 622–633 (1994).
[CrossRef]

McLachlan, B.

J. Kavandi, J. B. Callis, M. P. Gouterman, G. Khalil, D. Wright, E. Green, D. Burns, B. McLachlan, “Luminescent barometry in wind tunnels,” Rev. Sci. Instrum. 61, 3340–3347 (1990).
[CrossRef]

McLachlan, B. G.

J. H. Bell, B. G. McLachlan, “Image registration for pressure-sensitive paint applications,” Exp. Fluids 22, 78–86 (1996).
[CrossRef]

B. G. McLachlan, J. H. Bell, “Pressure-sensitive paint in aerodynamic testing,” Exp. Therm. Fluid Sci. 10, 470–485 (1995).
[CrossRef]

Morris, M. J.

M. J. Morris, J. F. Donovan, J. T. Schwab, S. D. Levy, R. C. Crites, “Aerodynamics applications of pressure-sensitive paint,” AIAA J. 31, 419–425 (1993).
[CrossRef]

Nicodemus, F. E.

Puech, C.

F. X. Sillion, C. Puech, Radiosity and Global Illumination (Morgan Kaufmann, San Francisco, 1994), Chap. 3.

Rodenburgh, A.

Ruyten, W. M.

W. M. Ruyten, “Correction of self-illumination and spectral-leakage effects in luminescent-paint measurements,” Appl. Opt. 36, 3079–3085 (1997).
[CrossRef] [PubMed]

W. M. Ruyten, “Self-illumination calibration technique for luminescent-paint measurements,” Rev. Sci. Instrum. 68, 3452–3457 (1997).
[CrossRef]

Salvaggio, C.

J. E. Mason, J. R. Schott, C. Salvaggio, J. D. Sirianni, “Validation of contrast and phenomenology in the Digital Imaging and Remote Sensing (DIRS) lab’s image generation (DIRSIG) model,” in Infrared Technology XX, B. F. Andresen, ed., Proc. SPIE2269, 622–633 (1994).
[CrossRef]

Schott, J. R.

J. E. Mason, J. R. Schott, C. Salvaggio, J. D. Sirianni, “Validation of contrast and phenomenology in the Digital Imaging and Remote Sensing (DIRS) lab’s image generation (DIRSIG) model,” in Infrared Technology XX, B. F. Andresen, ed., Proc. SPIE2269, 622–633 (1994).
[CrossRef]

Schwab, J. T.

M. J. Morris, J. F. Donovan, J. T. Schwab, S. D. Levy, R. C. Crites, “Aerodynamics applications of pressure-sensitive paint,” AIAA J. 31, 419–425 (1993).
[CrossRef]

Siegel, R. S.

R. S. Siegel, J. R. Howell, Thermal Radiation Heat Transfer, 2nd ed. (McGraw-Hill, New York, 1981), Sect. 3–5.

Sillion, F. X.

F. X. Sillion, C. Puech, Radiosity and Global Illumination (Morgan Kaufmann, San Francisco, 1994), Chap. 3.

Sirianni, J. D.

J. E. Mason, J. R. Schott, C. Salvaggio, J. D. Sirianni, “Validation of contrast and phenomenology in the Digital Imaging and Remote Sensing (DIRS) lab’s image generation (DIRSIG) model,” in Infrared Technology XX, B. F. Andresen, ed., Proc. SPIE2269, 622–633 (1994).
[CrossRef]

Smith, J. A.

J. A. Smith, S. M. Goltz, “Updated thermal model using simplified short-wave radiosity calculations,” Remote Sens. Environ. 47, 167–175 (1994).
[CrossRef]

Sullivan, J. P.

L. N. Cattefesta, T. Liu, J. P. Sullivan, “Uncertainty estimates for temperature-sensitive paint measurements with charged-coupled device cameras,” AIAA J. 36, 2102–2108 (1998).
[CrossRef]

K. Asai, H. Kanda, T. Kunimasu, T. Liu, J. P. Sullivan, “Boundary-layer transition detection in a cryogenic wind tunnel using luminescent paint,” J. Aircr. 34, 34–42 (1997).
[CrossRef]

T. Liu, B. T. Campbell, S. P. Burns, J. P. Sullivan, “Temperature- and pressure-sensitive luminescent paints in aerodynamics,” Appl. Mech. Rev. 50, 227–246 (1997).
[CrossRef]

Thacher, E. F.

E. F. Thacher, P. S. Giannola, “Radiometric measurement of temperature distributions in simple enclosures,” Exp. Heat Transfer 5, 217–236 (1992).
[CrossRef]

van Dam, A.

J. D. Foley, A. van Dam, S. K. Feiner, J. F. Hughes, Computer Graphics: Principles and Practice, 2nd ed. (Addison-Wesley, Reading, Mass., 1990), Sect. 16–13.

Wolfe, W. L.

W. L. Wolfe, “Effects of reflected background radiation on radiometric temperature measurements,” in Infrared Imaging Systems Technology, W. L. Wolfe, J. Zimmerman, eds., Proc. SPIE226, 133–135 (1980).
[CrossRef]

Wright, D.

J. Kavandi, J. B. Callis, M. P. Gouterman, G. Khalil, D. Wright, E. Green, D. Burns, B. McLachlan, “Luminescent barometry in wind tunnels,” Rev. Sci. Instrum. 61, 3340–3347 (1990).
[CrossRef]

Zhang, C.-G.

Zhang, Y.-W.

Aeronaut. J. (1)

J. W. Holmes, “Analysis of radiometric, lifetime, and fluorescent lifetime imaging for pressure sensitive paint,” Aeronaut. J., 189–194 (April1998).

AIAA J. (2)

M. J. Morris, J. F. Donovan, J. T. Schwab, S. D. Levy, R. C. Crites, “Aerodynamics applications of pressure-sensitive paint,” AIAA J. 31, 419–425 (1993).
[CrossRef]

L. N. Cattefesta, T. Liu, J. P. Sullivan, “Uncertainty estimates for temperature-sensitive paint measurements with charged-coupled device cameras,” AIAA J. 36, 2102–2108 (1998).
[CrossRef]

Am. J. Phys. (1)

W. S. Bickel, W. M. Bailey, “Stokes vectors, Mueller matrices, and polarized scattered light,” Am. J. Phys. 53, 468–478 (1985).
[CrossRef]

Appl. Mech. Rev. (1)

T. Liu, B. T. Campbell, S. P. Burns, J. P. Sullivan, “Temperature- and pressure-sensitive luminescent paints in aerodynamics,” Appl. Mech. Rev. 50, 227–246 (1997).
[CrossRef]

Appl. Opt. (5)

Exp. Fluids (1)

J. H. Bell, B. G. McLachlan, “Image registration for pressure-sensitive paint applications,” Exp. Fluids 22, 78–86 (1996).
[CrossRef]

Exp. Heat Transfer (1)

E. F. Thacher, P. S. Giannola, “Radiometric measurement of temperature distributions in simple enclosures,” Exp. Heat Transfer 5, 217–236 (1992).
[CrossRef]

Exp. Therm. Fluid Sci. (1)

B. G. McLachlan, J. H. Bell, “Pressure-sensitive paint in aerodynamic testing,” Exp. Therm. Fluid Sci. 10, 470–485 (1995).
[CrossRef]

Int. J. Remote Sens. (1)

A. P. Cracknell, “Method for the correction of sea temperature derived from satellite thermal infrared data in an area of sunglint,” Int. J. Remote Sens. 14, 3–8 (1993).
[CrossRef]

J. Aircr. (1)

K. Asai, H. Kanda, T. Kunimasu, T. Liu, J. P. Sullivan, “Boundary-layer transition detection in a cryogenic wind tunnel using luminescent paint,” J. Aircr. 34, 34–42 (1997).
[CrossRef]

J. Heat Transfer (1)

A. F. Emery, O. Johansson, M. Lobo, A. Abrous, “A comparative study of methods for computing the diffuse radiation viewfactors for complex structures,” J. Heat Transfer 113, 413–422 (1991).
[CrossRef]

J. Res. Natl. Inst. Stand. Technol. (1)

C. Asmail, “Bidirectional scattering distribution function (BSDF): a systematized bibliography,” J. Res. Natl. Inst. Stand. Technol. 96, 215–223 (1991).
[CrossRef]

Remote Sens. Environ. (1)

J. A. Smith, S. M. Goltz, “Updated thermal model using simplified short-wave radiosity calculations,” Remote Sens. Environ. 47, 167–175 (1994).
[CrossRef]

Rev. Sci. Instrum. (3)

S. W. Allison, G. T. Gillies, “Remote thermometry with thermographic phosphors: instrumentation and applications,” Rev. Sci. Instrum. 68, 2615–2650 (1997), with 281 references.
[CrossRef]

J. Kavandi, J. B. Callis, M. P. Gouterman, G. Khalil, D. Wright, E. Green, D. Burns, B. McLachlan, “Luminescent barometry in wind tunnels,” Rev. Sci. Instrum. 61, 3340–3347 (1990).
[CrossRef]

W. M. Ruyten, “Self-illumination calibration technique for luminescent-paint measurements,” Rev. Sci. Instrum. 68, 3452–3457 (1997).
[CrossRef]

Other (9)

J. D. Foley, A. van Dam, S. K. Feiner, J. F. Hughes, Computer Graphics: Principles and Practice, 2nd ed. (Addison-Wesley, Reading, Mass., 1990), Sect. 16–13.

F. X. Sillion, C. Puech, Radiosity and Global Illumination (Morgan Kaufmann, San Francisco, 1994), Chap. 3.

D. Hart, P. Dutre, D. P. Greenberg, “Direct illumination with lazy visibility evaluation,” in Proceedings of the ACM SIGGRAPH Conference on Computer Graphics (Association for Computing Machinery, New York, 1999), pp. 147–154.

J. E. Mason, J. R. Schott, C. Salvaggio, J. D. Sirianni, “Validation of contrast and phenomenology in the Digital Imaging and Remote Sensing (DIRS) lab’s image generation (DIRSIG) model,” in Infrared Technology XX, B. F. Andresen, ed., Proc. SPIE2269, 622–633 (1994).
[CrossRef]

R. S. Siegel, J. R. Howell, Thermal Radiation Heat Transfer, 2nd ed. (McGraw-Hill, New York, 1981), Sect. 3–5.

F. Grum, R. J. Becherer, Optical Radiation Measurements, Vol. 1: Radiometry (Academic, New York, 1979).

R. W. Boyd, Radiometry and the Detection of Optical Radiation (Wiley, New York, 1983).

A. G. Jackson, “Infrared temperature measurements in the presence of reflected radiation,” (Arnold Engineering Development Center, Tullahoma, Tenn., 1990).

W. L. Wolfe, “Effects of reflected background radiation on radiometric temperature measurements,” in Infrared Imaging Systems Technology, W. L. Wolfe, J. Zimmerman, eds., Proc. SPIE226, 133–135 (1980).
[CrossRef]

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (6)

Fig. 1
Fig. 1

Schematic of the eight-camera imaging system used for luminescent-paint measurements in the 16-ft Transonic Wind Tunnel at the Arnold Engineering Development Center. Cameras are mounted approximately in a plane.

Fig. 2
Fig. 2

Definition of angles of emission or reflection from a surface element ΔSi. The angles are defined either by another surface element ΔSj or by the camera c=ci by which ΔSi is viewed.

Fig. 3
Fig. 3

Definition of incident angle ϑih and reflected angles ϑiα and φhiα for specification of the bidirectional reflection coefficient of a surface element ΔSi being irradiated by a surface element ΔSh. The reflected direction α is defined either by a camera or another surface element (see Fig. 2).

Fig. 4
Fig. 4

Azimuth angle ϑih and solid angle ΔΩih associated with the definition of the configuration factor ΔFih between surface elements ΔSi and ΔSh.

Fig. 5
Fig. 5

Illustration of total radiance as an infinite sum of successive reflection orders: solid dots, emission; open dots, reflection.

Fig. 6
Fig. 6

Identification of surface elements along specular rays by inverse ray tracing. Natural truncation of the paths occurs if a ray trace fails to intersect a surface element on the surface S.

Equations (35)

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

Liα=Liα(0)+Liα,refl,
Liα,refl=h=1NΔLhiα,
ΔLhiα=RhiαΔEih,
ΔEih=πΔFihLhi,
ΔFih=1πcos ϑihΔΩih,
Liα=Liα(0)+h=1NπRhiαΔFihLhi.
Liα(0)=Mi(0)fiα(0).
MiαLiα/fiα(0),
Miα=Mi(0)+h=1NBhiαMhi,
BhiαπRhiαΔFihfhi(0)fiα(0).
Bhi*Bhic.
Mi*Mic=Lic/fic(0),
Mi*=Mi(0)+h=1NBhi*Mh(0)+g=1Nh=1NBghiBhi*Mg(0)+f=1Ng=1Nh=1NBfghBghiBhi*Mf(0)+ .
Mi*=j=1NCijMj(0),
Cij=δij+Bji*+k=1NBjkiBki*+k=1Nl=1NBjklBkliBli*+,
M*=CM(0),
C=1+C(1)+C(2)+C(3)+,
Cij(1)=Bji*,
Cij(2)=k=1NBjkiBki*,
Cij(3)=k=1Nl=1NBjklBkliBli*,
Lic(0)Mi(0)fic(0).
Mij=Mi*+h=1NΔBhij*Mhi,
ΔBhij*Bhij-Bhi*.
Mi(0)=Mi*-h=1NBhi*Mh*-g=1Nh=1NΔBghi*Bhi*Mg*-f=1Ng=1Nh=1NΔBfgh*ΔBghi*Bhi*Mf*-  .
M(0)=DM*,
D=1-D(1)-D(2)-D(3) - 
Dij(1)=Bji*,
Dij(2)=k=1NΔBjki*Bki*,
Dij(3)=k=1Nl=1NΔBjkl*ΔBkli*Bli*,
Bhiα,Lamb=ρiΔFihAih.
DLamb=1-D(1)=1-A,
Lic(0)=Lic-j=1NAijLjc.
ΔLhiα=σiLhiifα=αspec(i, h)0otherwise.
Bhiα,spec=σifhi(0)/fiα(0)ifα=αspec(i, h)0,otherwise.
Lic(0)=Lic-σiLhc-σiσh(Lg1c-Lg2c)-,

Metrics