SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
Adjoint equations and random walks for illumination computation
ACM Transactions on Graphics (TOG)
Optimally combining sampling techniques for Monte Carlo rendering
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
IEEE Computer Graphics and Applications
Illumination Modeling and Generation of Realistic Images Using Internet Technologies
Programming and Computing Software
The use of coherent ray tracing for physically accurate rendering
Programming and Computing Software
Light field modeling and its application to remote sensing image simulation
ICAT'06 Proceedings of the 16th international conference on Advances in Artificial Reality and Tele-Existence
| Hi-index | 0.00 |
Algorithms used to generate physically accurate images are usually based on the Monte Carlo methods for the forward and backward ray tracing. These methods are used to numerically solve the light energy transport equation (the rendering equation). Stochastic methods are used because the integration is performed in a high-dimensional space, and the convergence rate of the Monte Carlo methods is independent of the dimension. Nevertheless, modern studies are focused on quasi-random samples that depend on the dimension of the integration space and make it possible to achieve, under certain conditions, a high rate of convergence, which is necessary for interactive applications. In this paper, an approach to the development of an algorithm for the bidirectional ray tracing is suggested that reduces the overheads of the quasi-Monte Carlo integration caused by the high effective dimension and discontinuity of the integrand in the rendering equation. The pseudorandom and quasi-random integration methods are compared using the rendering equations that have analytical solutions.