A Quasi-Monte Carlo Algorithm for the Global Illumination Problem in the Radiosity Setting
نویسنده
چکیده
One of the main problems in computer graphics is to solve the global illumination problem, which is given by a Fredholm integral equation of the second kind, called the radiance equation (REQ). In order to achieve realistic images, a very complex kernel of the integral equation, modelling all physical effects of light, must be considered. Due to this complexity Monte Carlo methods seem to be an appropriate approach to solve the REQ approximately. We show that replacing Monte Carlo by quasi-Monte Carlo in some steps of the algorithm results in a faster convergence.
منابع مشابه
Quasi-Monte Carlo Radiosity
The problem of global illumination in computer graphics is described by a second kind Fredholm integral equation Due to the com plexity of this equation Monte Carlo methods provide an interesting tool for approximating solutions to this transport equation For the case of the radiosity equation we present the deterministic method of quasi random walks This method very e ciently uses low discrepa...
متن کاملHybrid Radiosity/Monte Carlo Methods
Monte Carlo methods refer to any method that uses random numbers to get an approximate answer to a problem. In computer graphics Monte Carlo techniques can be used to perform radiosity calculations and can be used in distribution ray tracing for effects such as soft shadows and motion blur. Although these notes are for a course on radiosity, they have a great deal of material from a previous Si...
متن کاملHigh Quality Final Gathering for Hierarchical Monte Carlo Radiosity for General Environments
Aiming at rendering high quality images robustly for general environments with simple algorithms, we use a two-pass method that accounts for the global illumination. In this paper we present the integration of a new gathering procedure in the rendering pass, that uses the approximate results obtained by a particle tracing method, an extension of the Hierarchical Monte Carlo Radiosity (HMCR) alg...
متن کاملThe Fast Calculation of Form Factors Using Low Discrepancy Sequences
The calculation of form factors is an important problem in computing the global illumination in the radiosity setting. Closed form solutions often are only available for objects without obstruction and are very hard to calculate. Using Monte Carlo integration and ray tracing provides a fast and elegant tool for the estimation of the form factors. In this paper we show, that using deterministic ...
متن کاملComputation of Global Illumination by Monte Carlo Simulation of the Particle Model of Light
In the particle model light is assumed to be composed of photons originating at the light sources and moving within the environment possibly getting scattered by the medium and refracted or re ected by the objects in the environment until they are eventually absorbed Using Monte Carlo methods for simulating the behaviour and keep ing track of a su ciently large sample of photons in the environm...
متن کامل