Monte Carlo methods. Vol. 1: basics
Monte Carlo methods. Vol. 1: basics
Principles and applications of pencil tracing
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Adaptive radiosity textures for bidirectional ray tracing
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Global illumination using photon maps
Proceedings of the eurographics workshop on Rendering techniques '96
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Perturbation Methods for Interactive Specular Reflections
IEEE Transactions on Visualization and Computer Graphics
A Hierarchcal Subdivision Algorithm for Stochastic Radiosity
Proceedings of the Eurographics Workshop on Rendering Techniques '97
Beam tracing polygonal objects
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
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Photo-realistic rendering algorithms such as Monte Carlo ray tracing sample individual paths to compute images. Noise and aliasing artefacts are usually reduced by supersampling. Knowledge about the neighborhood of the path, such as an estimated footprint, can be used to reduce these artefacts without having to trace additional paths. The recently introduced ray differentials estimate such a footprint for classical ray tracing, by computing ray derivatives with respect to the image plane. The footprint proves to be useful for filtering textures locally on surfaces. In this paper, we generalize the use of these derivatives to arbitrary path sampling, including general reflection and refraction functions. Sampling new directions introduces additional partial derivatives, which are all combined into a footprint estimate. Additionally the path gradient is introduced; it gives the rate of change of the path contribution. When this change is too steep the size of the footprint is reduced. The resulting footprint can be used in any global illumination algorithm that is based on path sampling. Two applications show its potential: texture filtering in distributed ray tracing and a novel hierarchical approach to particle tracing radiosity.