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Ke Chen Charly Collin Ajit Hakke-Patil Sumanta Pattanaik

A Practical Model for Computing Subsurface BRDF of Homogeneous Materials with A Thin Layer of Paint. Ke Chen Charly Collin Ajit Hakke-Patil Sumanta Pattanaik. Overview. Introduction and motivation. BRDF = surface BRDF + subsurface BRDF [ Hanrahan and Krueger 1993].

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Ke Chen Charly Collin Ajit Hakke-Patil Sumanta Pattanaik

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  1. A Practical Model for Computing Subsurface BRDF of Homogeneous Materials with A Thin Layer of Paint Ke Chen Charly Collin Ajit Hakke-Patil Sumanta Pattanaik

  2. Overview

  3. Introduction and motivation BRDF = surface BRDF + subsurface BRDF [Hanrahan and Krueger 1993]

  4. Subsurface BRDFs are directionally dependent Shape does not change Shape changed

  5. Previous Works and Limitations • Kubelka-Munk [Kubelka 1954] • Single scattering approximation [Blinn 1982], [Farrell et al. 1992] • Adding and doubling [de Haan 1987] • Discrete Ordinate Methods[Chandrasekhar 1960]

  6. Contributions • Subsurface BRDF for semi-infinite homogeneous materials based on Ambartsumian’s integral equation [Chen et al. 2013] • Adding a thin layer of paint based on invariant imbedding method [Hansen and Travis 1974]

  7. Radiative transfer Plane-parallel radiative transfer equation: [Chandrasekhar 1960]

  8. Ambartsumian’s integral equation Iteratively solving each

  9. Subsurface BRDFs are directionally dependent Titanium dioxide Aluminium oxide

  10. Invariant imbedding (1) (2) (3) (4) (5)

  11. Results

  12. Conclusions • Subsurface BRDFs are directionally dependent • Using Ambartsumian’s integral equation and invariant imbedding to compute the subsurface BRDF is fast. • Accurate

  13. Future work • Polarization • Multiple layered materials

  14. Thank You Questions?

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