Extending the radiosity method to include specularly reflecting and translucent materials
ACM Transactions on Graphics (TOG)
A ray tracing method for illumination calculation in diffuse-specular scenes
Proceedings on Graphics interface '90
Light-water interaction using backward beam tracing
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Advanced animation and rendering techniques
Advanced animation and rendering techniques
Visibility, occlusion, and the aspect graph
International Journal of Computer Vision
Illumination from curved reflectors
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Radiosity and realistic image synthesis
Radiosity and realistic image synthesis
A fast shadow algorithm for area light sources using backprojection
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
The visibility skeleton: a powerful and efficient multi-purpose global visibility tool
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Global illumination using photon maps
Proceedings of the eurographics workshop on Rendering techniques '96
Fast calculation of soft shadow textures using convolution
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Computing exact shadow irradiance using splines
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Realistic ray tracing
Radiosity and Global Illumination
Radiosity and Global Illumination
Perturbation Methods for Interactive Specular Reflections
IEEE Transactions on Visualization and Computer Graphics
A Closed-Form Solution for the Irradiance due to Linearly-Varying Luminaires
Proceedings of the Eurographics Workshop on Rendering Techniques 2000
Exact Illumination in Polygonal Environments using Vertex Tracing
Proceedings of the Eurographics Workshop on Rendering Techniques 2000
Fast Global Illumination Including Specular Effects
Proceedings of the Eurographics Workshop on Rendering Techniques 2000
Ray Tracing Point Sampled Geometry
Proceedings of the Eurographics Workshop on Rendering Techniques 2000
On visible surface generation by a priori tree structures
SIGGRAPH '80 Proceedings of the 7th annual conference on Computer graphics and interactive techniques
Beam tracing polygonal objects
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
Analytic methods for simulated light transport
Analytic methods for simulated light transport
Mathematical methods for image synthesis
Mathematical methods for image synthesis
Analytic illumination in polyhedral environments
Analytic illumination in polyhedral environments
Light field techniques for reflections and refractions
EGWR'99 Proceedings of the 10th Eurographics conference on Rendering
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Computing irradiance analytically from polygonal luminaires in polygonal environments has proven effective for direct lighting applications in diffuse radiosity environments. Methods for analytic integration have traditionally used edge-based solutions to the irradiance integral; our previous work presented a vertex-based analytic solution, allowing irradiance to be computed incrementally by ray tracing the apparent vertices of the luminaire. In this work we extend the vertex tracing technique to the analytic computation of irradiance from a polygonal luminaire in other indirect lighting applications: transmission through non-refractive transparent polygons, and reflection off perfectly specular polygons. Furthermore we propose an approximate method for computing transmitted irradiance through refractive polyhedra. The method remains effective in the presence of blockers.