Kivanek, JaroslavColbert, Mark2015-02-212015-02-2120081467-8659https://doi.org/10.1111/j.1467-8659.2008.01252.xWe propose an analysis of numerical integration based on sampling theory, whereby the integration error caused by aliasing is suppressed by pre-filtering. We derive a pre-filter for evaluating the illumination integral yielding filtered importance sampling, a simple GPU-based rendering algorithm for image-based lighting. Furthermore, we extend the algorithm with real-time visibility computation. Free from any pre-computation, the algorithm supports fully dynamic scenes and, above all, is simple to implement.10.1111/j.1467-8659.2008.01252.x1147-1154