Local Monte Carlo estimation methods in the solution of global illumination equation

In this article, we consider local estimations of the Monte Carlo method for solving the equation of the global illumination. The local estimations allow directly calculating the luminance at a predetermined point, in a given direction for an arbitrary bidirectional reflectance distribution function (BRDF). Thus, there is no need to construct the map of the illumination. Thereby it is much more effective than direct modeling or the method of finite element. The use in lighting calculations of the object described by the spherical harmonics is also discussed in the article

Local Monte Carlo estimation methods in the solution of global illumination equation

In this article, we consider local estimations of the Monte Carlo method for solving the equation of the global illumination. The local estimations allow directly calculating the luminance at a predetermined point, in a given direction for an arbitrary bidirectional reflectance distribution function (BRDF). Thus, there is no need to construct the map of the illumination. Thereby it is much more effective than direct modeling or the method of finite element. The use in lighting calculations of the object described by the spherical harmonics is also discussed in the article

Relation of instant radiosity method with local estimations of Monte Carlo method

This article discusses mathematical foundations of local estimations of the Monte Carlo method. The basic algorithm of visualization of the 3D scenes based on local estimations, which are an analog of the famous algorithm Instant Radiosity, is considered. An algorithm for radiance object view-independent calculation based on local estimations of Monte Carlo method is shown Additionally, questions of representation of radiance object as spherical harmonics expansion in each computational point are analyzed. The assumption of possible direct calculation of radiance object coefficients of expansion in spherical harmonics by Monte Carlo method is brought in, and problems are identified

b Russian Academy of Sciences

published in Parallel Computing