## Metropolis Light Transport (1997)

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Venue: | Computer Graphics (SIGGRAPH '97 Proceedings |

Citations: | 152 - 1 self |

### BibTeX

@INPROCEEDINGS{Veach97metropolislight,

author = {Eric Veach and Leonidas J. Guibas},

title = {Metropolis Light Transport},

booktitle = {Computer Graphics (SIGGRAPH '97 Proceedings},

year = {1997},

pages = {65--76},

publisher = {Addison Wesley}

}

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### Abstract

We present a new Monte Carlo method for solving the light transport problem, inspired by the Metropolis sampling method in computational physics. To render an image, we generate a sequence of light transport paths by randomly mutating a single current path (e.g. adding a new vertex to the path). Each mutation is accepted or rejected with a carefully chosen probability, to ensure that paths are sampled according to the contribution they make to the ideal image. We then estimate this image by sampling many paths, and recording their locations on the image plane. Our algorithm is unbiased, handles general geometric and scattering models, uses little storage, and can be orders of magnitude more e#cient than previous unbiased approaches. It performs especially well on problems that are usually considered di#cult, e.g. those involving bright indirect light, small geometric holes, or glossy surfaces. Furthermore, it is competitive with previous unbiased algorithms even for relatively simple ...

### Citations

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Citation Context ...rtual camera lens, and the ray x → x ′ is mapped by the lens to the small region of the image plane corresponding to the filter support of pixel j. 6 Further references and discussion may be found=-= in [23]-=-. 7 This measure on paths is similar to that of Spanier and Gelbard [22, p. 85]. However, in our case infinite-length paths are excluded. This makes it easy to verify that (10) is in fact a measure, d... |

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Citation Context ...ity). The denominator T(¯y|¯x) is � � pa[1, 0] ps(x0,x1,z0) G(x1,z0) pd[1, 2] . + pa[0, 1] ps(x3,x2,z0) G(x2,z0) In a similar way, we find that R(¯x|¯y)isgivenby {fs(x0,x1,x2)G(x1,x2)fs(x1,x2,=-=x3)}/{pd[1, 3] -=-pa[0, 0]} , where pd and pa now refer to ¯y. To implement this calculation in general, it is convenient to define functions C(x0,x1,x2,x3)=fs(x0,x1,x2)G(x1,x2)fs(x1,x2,x3) S(x0,x1,x2)=fs(x0,x1,x2)/ps... |

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Citation Context ...modify the directional sampling of the basic path tracing algorithm. This can be done with a particle tracing prepass [9], or by adaptively recording the radiance information in a spatial subdivision =-=[14]-=-. Moderate variance reductions have been reported (50% to 70%), but there are several problems, including inadequate directional resolution to handle concentrated indirect lighting, and substantial sp... |