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An analysis of quasi-monte carlo integration applied to the transillumination radiosity method (1997).
| Content Provider | CiteSeerX |
|---|---|
| Author | Szirmay-Kalos, Laszlo Foris, Tibor Neumann, Laszlo Csebfalvi, Balazs |
| Abstract | This paper presents an enhanced transillumination radiosity method that can provide accurate solutions at relatively low computational cost. The proposed algorithm breaks down the double integral of the gathered power to an area integral that is computed analytically and to a directional integral that is evaluated by quasi-Monte Carlo or Monte-Carlo techniques. The paper also analyses the requirements of the convergence, presents theoretical error bounds and proposes error reduction techniques. The theoretical bounds are compared with simulation results. Keywords: Radiosity method, error analysis, transillumination, quasi-Monte Carlo quadrature. 1. Introduction Classical radiosity algorithms, including the hemisphere 22 , the hemicube 6 or the cubic-tetrahedron methods 2 , assume that the double integral of the form factor or the exchanged power can be approximated by the inner integral multiplied by the area of the patch. This approximation introduces errors proportional to the... |
| File Format | |
| Publisher Date | 1997-01-01 |
| Access Restriction | Open |
| Subject Keyword | Transillumination Radiosity Method Quasi-monte Carlo Integration Applied Double Integral Directional Integral Exchanged Power Cubic-tetrahedron Method Introduction Classical Radiosity Algorithm Quasi-monte Carlo Quadrature Monte-carlo Technique Radiosity Method Area Integral Low Computational Cost Theoretical Bound Gathered Power Error Analysis Error Reduction Technique Theoretical Error Bound Enhanced Transillumination Radiosity Method Accurate Solution Simulation Result Quasi-monte Carlo Form Factor |
| Content Type | Text |
| Resource Type | Article |
