In this paper, we show that applying a linear transformation---represented by a 3 x 3 matrix---
to the direction vectors of a spherical distribution yields another spherical distribution, for …

We introduce a new data structure and algorithms that employ it to compute real-time global
illumination from static environments. Light field probes encode a scene's full light field and …

In this paper, we propose a ratio estimator of the direct-illumination equation that allows us
to combine analytic illumination techniques with stochastic raytraced shadows while …

We introduce a novel parameterization for spherical distributions that is based on a point
located inside the sphere, which we call a pivot. The pivot serves as the center of a straight …

Linearly Transformed Cosines (LTCs) are a family of distributions that are used for real-time
area-light shading thanks to their analytic integration properties. Modern game engines use …

The visual appearance of real‐world materials is characterized by surface features across
many scales and has received significant attention by the graphics community for decades …

Many applications in rendering rely on integrating functions over spherical polygons. We
present a new numerical solution for computing the integral of spherical harmonics (SH) …

The real world consists of mass phenomena, such as iridescence on thin film and metal
oxide layers, that is only explicable by wave optics. Existing research can reproduce such …

Fig. 1. Photometric point lights (left), a typical simplification of photometric area lights used in
real-time rendering systems. Our real-time technique (middle) provides a well-defined …

Many real-world materials like plastic, snow, and brushed metal, are covered in complex
microscopic facets which scatter light. The appearance of these high frequency glints is …