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12 years 6 months ago
An Analysis of Finite Volume, Finite Element, and Finite Difference Methods Using Some Concepts from Algebraic Topology
In this paper we apply the ideas of algebraic topology to the analysis of the finite volume and finite element methods, illuminating the similarity between the discretization str...
Claudio Mattiussi
SIGGRAPH
1993
ACM
14 years 15 days ago
Wavelet radiosity
Radiosity methods have been shown to be an effective means to solve the global illumination problem in Lambertian diffuse environments. These methods approximate the radiosity int...
Steven J. Gortler, Peter Schröder, Michael F....
RT
2000
Springer
13 years 12 months ago
Fast Global Illumination Including Specular Effects
Rapidly simulating global illumination, including diffuse and glossy light transport is a very difficult problem. Finite element or radiosity approaches can achieve interactive si...
Xavier Granier, George Drettakis, Bruce Walter
DAC
1995
ACM
13 years 12 months ago
Delayed Frontal Solution for Finite-Element Based Resistance Extraction
To save memory, layout-to-circuit extractors that use the Finite-Element Method for resistance extraction usually solve the corresponding set of equations with a frontal solution ...
N. P. van der Meijs, Arjan J. van Genderen
CGI
1998
IEEE
14 years 20 days ago
Fast Approximate Quantitative Visibility for Complex Scenes
Ray tracing and Monte-Carlo based global illumination, as well as radiosity and other finite-element based global illumination methods, all require repeated evaluation of quantita...
Yiorgos Chrysanthou, Daniel Cohen-Or, Dani Lischin...