Real-time rendering of layered materials with anisotropic normal distributions

Tomoya Yamaguchi*, Tatsuya Yatagawa, Yusuke Tokuyoshi, Shigeo Morishima

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


This paper proposes a lightweight bidirectional scattering distribution function (BSDF) model for layered materials with anisotropic reflection and refraction properties. In our method, each layer of the materials can be described by a microfacet BSDF using an anisotropic normal distribution function (NDF). Furthermore, the NDFs of layers can be defined on tangent vector fields, which differ from layer to layer. Our method is based on a previous study in which isotropic BSDFs are approximated by projecting them onto base planes. However, the adequateness of this previous work has not been well investigated for anisotropic BSDFs. In this paper, we demonstrate that the projection is also applicable to anisotropic BSDFs and that the BSDFs are approximated by elliptical distributions using covariance matrices.

Original languageEnglish
Pages (from-to)29-36
Number of pages8
JournalComputational Visual Media
Issue number1
Publication statusPublished - 2020 Mar 1


  • layered materials
  • microfacet BSDF
  • real-time rendering
  • reflection modeling

ASJC Scopus subject areas

  • Computer Vision and Pattern Recognition
  • Computer Graphics and Computer-Aided Design
  • Artificial Intelligence


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