The paper presents a combined finite element and quasi-random walk method to solve the general rendering equation. Applying finite element techniques, the surfaces are decomposed into planar patches that are assumed to have position independent, but not direction independent (that is non-diffuse) radiance. The direction dependent radiance function is then computed by quasi-random walk. Since quasi-Monte Carlo quadrature is applied here to an integrand of finite variation, this method can take advantage of the superior convergence of quasi-Monte Carlo integration.

finite number of unknown directional radiance functions by predefined positional basis functions. The directional radiance functions are then computed by random walk or by stochastic iteration using bundles of parallel rays. To compute the radiance transfer in a single direction, several global

, but not direction independent radiance. The direction dependent radiance function is then computed by random walk using bundles of parallel rays. In a single step of the walk, the radiance transfer is evaluated exploiting the hardware z-buffer of workstations, making the calculation fast. The proposed method

. Ideal mirrors and refracting objects cannot be rendered with these methods. 2. Recursive ray-tracing Another alternative is to eliminate from the rendering equation those energy contributions which cause the difficulties, and thus give ourselves a simpler problem to solve. For example, if limited level

Figure 1: Left: real-time rendering using light maps (122640 triangles scene). Right: the light maps generated by our renderer (1024×1024

A bidirectional sampling method with ray-bundles [TO12] enables high-one-bounce three-bounce

Abstract not found

long time, ‘variational ’ problems have been identified mostly with the ‘calculus of variations’. In that venerable subject, built around the minimization of integral functionals, constraints were relatively simple and much of the focus was on infinite-dimensional function spaces. A major theme

family of volume rendering algorithms that reduces rendering times to one second. First we present a scanline-order volume rendering algorithm that exploits coherence in both the volume data and the image. We show that scanline-order algorithms are fundamentally more efficient than commonly-used ray

particular realization of the N = 2 theories, the resulting string field theory is equivalent to a topological theory in six dimensions, the Kodaira– Spencer theory, which may be viewed as the closed string analog of the Chern–Simon theory. Using the mirror map this leads to computation of the ‘number