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1 Analytical Modeling of Optical Polarimetric Imaging Systems 2011 IEEE International Geoscience and  Remote Sensing Symposium LingfeiMeng: lxm8537@rit.edu John P. Kerekes: kerekes@cis.rit.edu Rochester Institute of Technology 29 July 2011 This work was supported by the AFOSR under agreement FA9550-08-1-0028.
Outline ,[object Object]
Background
Motivation
Analytical Model of Optical Polarization
Scene Model
Sensor Model
Processing ModelApplication for Target Detection ,[object Object],2
Outline ,[object Object]
Background
Motivation
Analytical Model of Optical Polarization
Scene Model
Sensor Model
Processing ModelApplication for Target Detection ,[object Object],3
Polarization of Light 4 Circular polarization Linear polarization http://en.wikipedia.org/wiki/Polarizer
5 Polarization-sensitive Optical System θ3 θ2 θ1 Linear Polarizer Optical Filter CCD Camera Conventional Operation Methods Pickering:	0°, 45°, 90° Fessenkov:	0°, 60°, 120° M-Pickering:	0°, 45°, 90°, 135° Iθ1 S0 S1 DoLP Iθ2 S2 Iθ3 Stokes Images Multi-channel Intensity Images
6 Example of Polarization Imagery Image was collected by Dr. Michael D. Presnar on May 25 2010.
7 Polarization-sensitive Optical System Linear Polarizer Optical Filter CCD Camera S0 Iθ1 S1 DoLP Iθ2 S2 Iθ3 Stokes Images Multi-channel Intensity Images
Outline ,[object Object]
Background
Motivation
Analytical Model of Optical Polarization
Scene Model
Sensor Model
Processing ModelApplication for Target Detection ,[object Object],8
Analytical Modeling Framework 9 Processing Algorithm Description Sensor Parameter Files Material Database Stokes Radiance Statistics Intensity Signal Statistics Processing Model Performance Metrics Sensor Model Scene Model User Inputs Scene Description Processing Settings Sensor Settings J.P. Kerekes and J.E. Baum, "Spectral Imaging System Analytical Model for Subpixel Object Detection," IEEE Transactions on Geoscience and Remote Sensing, vol. 40, no. 5, pp. 1088-1101, May 2002.
Characterize Material Reflectance Bidirectional reflectance distribution function (BRDF) 10
Characterize Material Reflectance Polarimetric BRDF (pBRDF) The pBRDF can be expressed as the sum of a polarized specular component and an unpolarized diffuse component 11 M. W. Hyde, J. D. Schmidt, and M. J. Havrilla, “A geometrical optics polarimetric bidirectional reflectance distribution function for dielectric and metallic surfaces,” Opt. Express, vol. 17, no. 24, pp. 22138–22153, Nov 2009.
12 pBRDF Model Determined DoLP 0 0 0 0 0 0 Vegetation DoLP  Glass DoLP Concrete DoLP
13 Polar Coordinate Definition
14 Polar Coordinate Definition Sensor zenith angle Radial coordinate
15 Polar Coordinate Definition Relative azimuth angle Angular coordinate
16 pBRDF Model Determined DoLP 0 0 0 0 0 0 Vegetation DoLP  Glass DoLP Concrete DoLP

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Meng.pptx

  • 1. 1 Analytical Modeling of Optical Polarimetric Imaging Systems 2011 IEEE International Geoscience and Remote Sensing Symposium LingfeiMeng: lxm8537@rit.edu John P. Kerekes: kerekes@cis.rit.edu Rochester Institute of Technology 29 July 2011 This work was supported by the AFOSR under agreement FA9550-08-1-0028.
  • 2.
  • 5. Analytical Model of Optical Polarization
  • 8.
  • 9.
  • 12. Analytical Model of Optical Polarization
  • 15.
  • 16. Polarization of Light 4 Circular polarization Linear polarization http://en.wikipedia.org/wiki/Polarizer
  • 17. 5 Polarization-sensitive Optical System θ3 θ2 θ1 Linear Polarizer Optical Filter CCD Camera Conventional Operation Methods Pickering: 0°, 45°, 90° Fessenkov: 0°, 60°, 120° M-Pickering: 0°, 45°, 90°, 135° Iθ1 S0 S1 DoLP Iθ2 S2 Iθ3 Stokes Images Multi-channel Intensity Images
  • 18. 6 Example of Polarization Imagery Image was collected by Dr. Michael D. Presnar on May 25 2010.
  • 19. 7 Polarization-sensitive Optical System Linear Polarizer Optical Filter CCD Camera S0 Iθ1 S1 DoLP Iθ2 S2 Iθ3 Stokes Images Multi-channel Intensity Images
  • 20.
  • 23. Analytical Model of Optical Polarization
  • 26.
  • 27. Analytical Modeling Framework 9 Processing Algorithm Description Sensor Parameter Files Material Database Stokes Radiance Statistics Intensity Signal Statistics Processing Model Performance Metrics Sensor Model Scene Model User Inputs Scene Description Processing Settings Sensor Settings J.P. Kerekes and J.E. Baum, "Spectral Imaging System Analytical Model for Subpixel Object Detection," IEEE Transactions on Geoscience and Remote Sensing, vol. 40, no. 5, pp. 1088-1101, May 2002.
  • 28. Characterize Material Reflectance Bidirectional reflectance distribution function (BRDF) 10
  • 29. Characterize Material Reflectance Polarimetric BRDF (pBRDF) The pBRDF can be expressed as the sum of a polarized specular component and an unpolarized diffuse component 11 M. W. Hyde, J. D. Schmidt, and M. J. Havrilla, “A geometrical optics polarimetric bidirectional reflectance distribution function for dielectric and metallic surfaces,” Opt. Express, vol. 17, no. 24, pp. 22138–22153, Nov 2009.
  • 30. 12 pBRDF Model Determined DoLP 0 0 0 0 0 0 Vegetation DoLP Glass DoLP Concrete DoLP
  • 31. 13 Polar Coordinate Definition
  • 32. 14 Polar Coordinate Definition Sensor zenith angle Radial coordinate
  • 33. 15 Polar Coordinate Definition Relative azimuth angle Angular coordinate
  • 34. 16 pBRDF Model Determined DoLP 0 0 0 0 0 0 Vegetation DoLP Glass DoLP Concrete DoLP
  • 35.
  • 36. With the upwelled radiance , the total sensor reaching radiance can be found as 17
  • 37. 18 MODTRAN-P Predicted Downwelled Radiance
  • 38. 19 MODTRAN-P Predicted Downwelled Radiance S1 S0 W/sr/cm2/μm Normalized Unit S2 DoLP Normalized Unit Normalized Unit
  • 39. 20 MODTRAN-P Predicted Skylight DoLP
  • 41.
  • 42. Analytical Modeling Framework 23 Processing Algorithm Description Sensor Parameter Files Material Database Stokes Radiance Statistics Intensity Signal Statistics Processing Model Performance Metrics Sensor Model Scene Model User Inputs Scene Description Processing Settings Sensor Settings
  • 43.
  • 44.
  • 45.
  • 46. Model Validation 29 Real data Analytical model
  • 47. Analytical Modeling Framework 30 Processing Algorithm Description Sensor Parameter Files Material Database Stokes Radiance Statistics Intensity Signal Statistics Processing Model Performance Metrics Sensor Model Scene Model Signal-to-clutter ratio (SCR) User Inputs Processing Settings Scene Description Sensor Settings Interested vector space Target mean Background mean Background covariance
  • 48.
  • 51. Analytical Model of Optical Polarization
  • 54.
  • 55. Adaptive Polarimetric Target Detector (APTD) 32 RX GLRT ROC Curve Comparison L. Meng and J. P. Kerekes, Adaptive Target Detection with a Polarization-sensitive Optical System, Applied Optics, Vol. 50, Issue 13, pp. 1925-1932 (2011) .
  • 56.
  • 59. Analytical Model of Optical Polarization
  • 62.
  • 63. Conclusions An analytical model for optical polarization has been designed, and initial validations have shown encouraging results. A system performance metric based on signal-to-clutter ratio (SCR) has been suggested, and can be potentially used for system optimization. 34 Thank you!