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Related Experiment Video

Updated: Jun 21, 2026

Measuring Spatially- and Directionally-varying Light Scattering from Biological Material
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Bidirectional reflectance distribution function effects in ladar-based reflection tomography.

Xuemin Jin1, Robert Y Levine

  • 1Spectral Sciences, Inc., Burlington, Massachusetts 01803, USA. xjin@spectral.com

Applied Optics
|July 23, 2009
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Bidirectional reflectance distribution function (BRDF) effects in reflection tomography can cause interior darkening artifacts, similar to x-ray CT beam hardening. Specialized processing can recover diffuse components, crucial for materials like carbon nanotubes.

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Area of Science:

  • Optical Physics
  • Image Reconstruction
  • Materials Science

Background:

  • Light reflection is quantified by the bidirectional reflectance distribution function (BRDF).
  • Reflection tomography reconstructs surfaces from reflected light measurements.
  • Artifacts in computed tomography (CT) can hinder accurate reconstruction.

Purpose of the Study:

  • To investigate the impact of BRDF effects on reflection tomography.
  • To identify and characterize artifacts caused by BRDF in reflection imaging.
  • To assess the reconstructability of different surface types, including Lambertian and those with shadowing.

Main Methods:

  • Modeled range-resolved reflection from well-characterized geometrical surfaces.
  • Analysis of BRDF effects on tomographic reconstruction algorithms.
  • Comparison of artifacts with known CT phenomena like beam hardening and limited-angle effects.

Main Results:

  • BRDF effects can induce interior boundary darkening, analogous to beam hardening in x-ray CT, due to reduced reflection at glancing angles.
  • Perfect reconstruction is achieved for purely Lambertian surfaces without shadowing.
  • Shadowing introduces crossed streak artifacts, similar to limited-angle CT effects, potentially obscuring diffuse components near specular elements.

Conclusions:

  • BRDF significantly influences reflection tomography, introducing artifacts that mimic those in transmission CT.
  • Lambertian surfaces are ideal for accurate reconstruction, while shadowing complicates the process.
  • Techniques like thresholded measurements can mitigate glints and recover diffuse components, important for novel materials like carbon nanotubes.