Microsurface Transformations
| dc.contributor.author | Atanasov, Asen | en_US |
| dc.contributor.author | Koylazov, Vladimir | en_US |
| dc.contributor.author | Dimov, Rossen | en_US |
| dc.contributor.author | Wilkie, Alexander | en_US |
| dc.contributor.editor | Ghosh, Abhijeet | en_US |
| dc.contributor.editor | Wei, Li-Yi | en_US |
| dc.date.accessioned | 2022-07-01T15:36:53Z | |
| dc.date.available | 2022-07-01T15:36:53Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | We derive a general result in microfacet theory: given an arbitrary microsurface defined via standard microfacet statistics, we show how to construct the statistics of its linearly transformed counterparts. A common use case of such transformations is to generate anisotropic versions of a given surface. Traditional anisotropic derivations based on varying the roughness of an isotropic distribution in an ellipse have a general closed-form formula only for the subclass of shape-invariant distributions. While our formulation is equivalent to these specific constructs, it is more general in two aspects: it leads to simple closedform solutions for all distributions, including shape-variant ones, and works for all invertible 2D transform matrices. The latter is of particular importance in case of deformation of the macrosurface, since it can be approximated locally by a linear transformation in the tangent plane. We demonstrate our results using the Generalized Trowbridge-Reitz (GTR) distribution which is shape-invariant only in the special case of the popular Trowbridge-Reitz (GGX) distribution. | en_US |
| dc.description.number | 4 | |
| dc.description.sectionheaders | BXDFs | |
| dc.description.seriesinformation | Computer Graphics Forum | |
| dc.description.volume | 41 | |
| dc.identifier.doi | 10.1111/cgf.14590 | |
| dc.identifier.issn | 1467-8659 | |
| dc.identifier.pages | 105-116 | |
| dc.identifier.pages | 12 pages | |
| dc.identifier.uri | https://doi.org/10.1111/cgf.14590 | |
| dc.identifier.uri | https://diglib.eg.org:443/handle/10.1111/cgf14590 | |
| dc.publisher | The Eurographics Association and John Wiley & Sons Ltd. | en_US |
| dc.subject | CCS Concepts: Computing methodologies --> Rendering; Reflectance modeling | |
| dc.subject | Computing methodologies | |
| dc.subject | Rendering | |
| dc.subject | Reflectance modeling | |
| dc.title | Microsurface Transformations | en_US |