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• W184549154 abstract "The radiosity method is one of the methods of choice used in global illumination simulation. It is a nite element technique that is particularly well suited for computing the radiance distribution in an environment exhibiting only di use re ection and emission. We discuss a multiresolution implementation of the technique, that has been developed to rapidly compute radiosity solutions for scenes composed of highly tessellated models. The application context is an interactive lighting design tool being developed in the framework of the DIVERCITY project (EU IST 13365), funded under the European IST programme (Information Society Technologies). 1 Background and motivation The radiosity method is one of the methods of choice used in global illumination simulation. It is a nite element technique that is particularly well suited for computing the radiance distribution in an environment exhibiting only di use re ection and emission. As for all nite element techniques, its performance heavily depends on the complexity of the input mesh. The most successful radiosity technique for dealing with complex scenes is currently hierarchical radiosity [11]. The algorithm constructs a hierarchical representation of the form factor matrix by adaptively subdividing planar patches into sub-patches according to a user-supplied error bound. By treating interactions between distant patches at a coarser level than those between nearby patches, the algorithm reduces the cost from quadratic to linear in the number of sub-patches used. However, since an initial transport link has to be computed from each of the original patches to all others, the cost is also quadratic in the number of input polygons, which is the major bottleneck for highly tessellated scenes, in which the geometric complexity is much larger than the illumination complexity. Volume clustering methods [13, 11, 6] combat this problem by grouping input patches into volume clusters. While volume clustering avoids the initial quadratic transport link step, handling the light incident on a cluster is a di cult problem and all presented solutions are more suitable to handling unorganized sets of polygons rather than highly tessellated models [15, 8, 9]. In particular, it is typically extremely di cult to obtain continuously shaded surfaces, since interpolating scalar irradiances across volumes does not lead to good results because of the varying orientations of surfaces within the cluster [8]. At the same time, pushing irradiances to leaves on-they [12, 13, 3], makes it di cult to construct higher order representations of polygon irradiances, makes the method complexity dependent on input model size, and drastically reduces the memory locality of the solution phase. A number of authors have recognized the mesh simpli cation techniques for handling large tessellated surfaces in radiosity [10, 7, 4]. The most advanced solution is possibly the face cluster radiosity approach introduced by Willmott and Heckbert [15]. It is a hierarchical radiosity algorithm that operates on face clusters and focuses on vector irradiance rather than radiosity. Since vector irradiance conserves directional information, the push-to-leaves phase is avoided, and the method memory and time complexity are made independent from the input mesh complexity. The method is limited to handling a single irradiance vector per cluster, which leads to blocky solutions or ne subdivisions. As for volume clusters, the classic smoothing post-pass is di cult to apply, and re-evaluating visibility at the input polygon level is prohibitively expensive for highly tessellated scenes. For this reason, Willmott [14] proposes a nal post-processing stage in which irradiance vectors are recomputed at the corners of each node throughout the hierarchy and interpolated at each input model vertex for computing radiosity. Our work improves over this method by using higher order bases during the solution, leading to better error control and reduced re nement." @default.
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• W184549154 title "Radiosity for Highly Tessellated Models" @default.
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