Near real-time shadow generation using BSP trees
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Computing the Aspect Graph for Line Drawings of Polyhedral Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Adaptive mesh generation for global diffuse illumination
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Efficiently Computing and Representing Aspect Graphs of Polyhedral Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
A rapid hierarchical radiosity algorithm
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Computing the antipenumbra of an area light source
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Discontinuity Meshing for Accurate Radiosity
IEEE Computer Graphics and Applications
Fast object-precision shadow generation for area light sources using BSP trees
I3D '92 Proceedings of the 1992 symposium on Interactive 3D graphics
Combining hierarchical radiosity and discontinuity meshing
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Radiosity algorithms using higher order finite element methods
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Galerkin radiosity: a higher order solution method for global illumination
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Bounds and error estimates for radiosity
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
A fast shadow algorithm for area light sources using backprojection
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Fast computation of shadow boundaries using spatial coherence and backprojections
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
The irradiance Jacobian for partially occluded polyhedral sources
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Discontinuity meshing for radiosity image synthesis
Discontinuity meshing for radiosity image synthesis
A complete treatment of D1 discontinuities in a discontinuity mesh
GI '96 Proceedings of the conference on Graphics interface '96
High-fidelity radiosity rendering at interactive rates
Proceedings of the eurographics workshop on Rendering techniques '96
Accurate visibility and meshing calculations for hierarchical radiosity
Proceedings of the eurographics workshop on Rendering techniques '96
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
The hemi-cube: a radiosity solution for complex environments
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
IEEE Computer Graphics and Applications
Finite Element Methods for Global Illumination
Finite Element Methods for Global Illumination
Analytic Illumination with Polygonal Light Sources
Analytic Illumination with Polygonal Light Sources
Structured sampling and reconstruction of illumination for image synthesis
Structured sampling and reconstruction of illumination for image synthesis
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A definitive understanding of irradiance behavior in penumbral regions has been hard to come by, mainly due to the computational expense of determining the visible parts of an area light source. Consequently, sampling strategies have been mostly ad hoc, and evaluation of the resulting approximations has been difficult. In this paper, the structure of penumbral irradiance is investigated empirically and numerically. This study has been made feasible by the use of the discontinuity mesh and the backprojection, an efficient data structure representing visibility in regions of partial occlusion. Regions of penumbrae in which irradiance varies nonmonotonically are characterized empirically, and numerical tests are performed to determine the frequency of their occurrence. This study inspired the development of two algorithms for the construction of interpolating approximations to irradiance: One algorithm reduces the number of edges in the mesh defining the interpolant domain, and the other algorithm chooses among linear, quadratic, and mixed interpolants based on irradiance monotonicity. Results from numerical tests and images are presented that demonstrate good performance of the new algorithms for various realistic test configurations.