Plane-Parallel Radiance Transport for Global Illumination in Vegetation

  • Nelson Max
  • Brett Keating
  • Curtis Mobley
  • En-Hua Wu
Part of the Eurographics book series (EUROGRAPH)


This paper applies plane-parallel radiance transport techniques to scattering from vegetation. The leaves, stems, and branches are represented as a volume density of scattering surfaces, depending only on height and the vertical component of the surface normal. Ordinary differential equations are written for the multiply scattered radiance as a function of the height above the ground, with the sky radiance and ground reflectance as boundary conditions. They are solved using a two-pass integration scheme to unify the two-point boundary conditions, and Fourier series for the dependence on the azimuthal angle. The resulting radiance distribution is used to precompute diffuse and specular “ambient” shading tables, as a function of height and surface normal, to be used in rendering, together with a z-buffer shadow algorithm for direct solar illumination.


Diffuse Reflection Specular Reflection Lawrence Livermore National Laboratory Global Illumination Scatter Phase Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag/Wien 1997

Authors and Affiliations

  • Nelson Max
    • 1
  • Brett Keating
    • 1
  • Curtis Mobley
    • 2
  • En-Hua Wu
    • 3
  1. 1.Lawrence Livermore National Laboratory and U. C. DavisUSA
  2. 2.Sequoia ScientificUSA
  3. 3.Institute of SoftwareAcademia SinicaChina

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