2013
DOI: 10.1007/978-3-642-37067-0_11
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A 3D Curvilinear Skeletonization Algorithm with Application to Path Tracing

Abstract: Abstract. We present a novel 3D curvilinear skeletonization algorithm which produces filtered skeletons without needing any user input, thanks to a new parallel algorithm based on the cubical complex framework. These skeletons are used in a modified path tracing algorithm in order to produce less noisy images in less time than the classical approach.

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Cited by 3 publications
(5 citation statements)
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“…The first part occurs during initialization and computes the topological data structure. First we voxelize the scene and we apply a thinning process [19] to compute a centered curvilinear skeleton from the voxels filling the empty space (where light travels, see Fig. 2).…”
Section: Overviewmentioning
confidence: 99%
See 2 more Smart Citations
“…The first part occurs during initialization and computes the topological data structure. First we voxelize the scene and we apply a thinning process [19] to compute a centered curvilinear skeleton from the voxels filling the empty space (where light travels, see Fig. 2).…”
Section: Overviewmentioning
confidence: 99%
“…A curvilinear skeleton is then computed from the empty space of the voxelization (voxels that does not cover surfaces) with a thinning process. We guaranty that the skeleton is centered and has the same topology that the empty space by using an algorithm that process in the cubical complex framework [19]. The thinning process outputs a graph embedded in 3D space and a 3D grid that gives for each voxel the index of the nearest node of the skeleton (with respect to the geometry of the empty space).…”
Section: A Voxelization and Thinningmentioning
confidence: 99%
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“…In particular, for light transport simulation, the shape of the empty space (medium in which the light travels) can be analized to develop efficient rendering algorithms. Surprisingly, just few attempts have been made to use such tools in the rendering community [4,5,6].…”
Section: Introductionmentioning
confidence: 99%
“…In our case the scene is first voxelized then complemented to get a voxelization of the empty space. One can choose any thinning algorithm available but we decided to use the topological thinning algorithm described by Chaussard et al [CNBC13]. To obtain a centered skeleton, this algorithm removes voxels from the voxelized object one layer at a time, starting at the border and in parallel for each layer.…”
Section: Introductionmentioning
confidence: 99%