N. Amenta, S. Choi, R.K. Kolluri, The power crust, in: Proc. Sixth ACM Symposium on Solid Modeling and Applications, ACM Press, New York, 2001, pp. 249--266. Home/Search Document Details and Download
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....or tessellation, of such surfaces for visualization or for analysis purposes. Nowadays, the most used approaches are based on advancing front [1] 2] or Delaunay triangulation [3] 4] 5] and there are ad hoc methods for specific surface classes [6] 7] 8] In cases such as surface reconstruction [9][10] the vertices are given, but here the tessellator has to sample the surface and construct a mesh connecting the samples. Most existing methods do both steps in parameter space: first, they create a triangulation of the surface s 2D domain, then the final tessellation is obtained by mapping the ....
N. Amenta, S. Choi and R. Kolluri, The power crust, in Sixth ACM Symposium on Solid Modeling and Applications, 2001, pp. 249-260.
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....Equation 6 returns the geodesic distance field T x on each point of Vor E P . The correspondence between surface points and embedded Voronoi diagram points is then given in terms of poles. The poles of a surface point are defined as its farthest inner and outer Voronoi vertices ([ACK01]) Since we are working with the embedded Voronoi diagram, only the inner fathest Voronoi vertex is considered, here denoted as pole p . In 3D the set of poles of P converges to the medial axis of W when sampling density tends to infinity ( ACK01] Moreover, the direction pole p p ....
....as its farthest inner and outer Voronoi vertices ( ACK01] Since we are working with the embedded Voronoi diagram, only the inner fathest Voronoi vertex is considered, here denoted as pole p . In 3D the set of poles of P converges to the medial axis of W when sampling density tends to infinity ([ACK01]) Moreover, the direction pole p p approximates the inward surface normal in p, and leads from p to to the deepest Voronoi vertex around p. As a result, we define the geodesic distance from surface points to centerlines as D g p pole p T pole p (7) ....
N. Amenta, S. Choi, and R. K. Kolluri. The power crust. In Proceedings of Solid Modeling '01, pages 249--260, 2001.
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....for scatter data points. The # shape is a generalization of the convex hull and a subgraph of the Delaunay triangulation. The real number # which is represented as theradiusofaspherewith0 # #, controls the desired level of detail of shapes. Accompanying with the idea of # shape, Amenta et al. [2] propose the power crust algorithm for 3D surface reconstruction and MAT approximation. At beginning the algorithm computes the Voronoi diagram of the scatter data points and retrieves the set of polar balls by selecting from the Voronoi balls that have maximal distance to the sampled surface. By ....
N. Amenta, S. Choi, and R. Kolluri. The power crust. Proceedings of the sixth ACM Symposium on Solid Modeling and Applications, pages 249--260, 2001.
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AMENTA N., CHOI S., KOLLURI R.: The Power Crust. In Proceedings of the Sixth Symposium on Solid Modeling (2001), Association for Computing Machinery, pp. 249--260.
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N. Amenta, S. Choi, R.K. Kolluri, The power crust, in: Proc. Sixth ACM Symposium on Solid Modeling and Applications, ACM Press, New York, 2001, pp. 249--266.
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N. Amenta, S. Choi, and R. Kolluri. The power crust. In Proceedings of 6th ACM Symposium on Solid Modeling and Applications, pages 249--260, 2001.
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N. Amenta, S. Choi, R. Kolluri, The power crust, in: Proceedings of 6th ACM Symposium on Solid Modeling, 2001, pp. 249--260.
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N. Amenta, S. Choi, and R. Kolluri. The power crust. In 6th ACM Symposium on Solid Modeling, pages 249--260, 2001.
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N. Amenta, S. Choi, R.K. Kolluri, The power crust, in: Proc. Sixth ACM Symposium on Solid Modeling and Applications, ACM Press, New York, 2001, pp. 249--266.
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N. Amenta, S. Choi, and R. Kolluri. The power crust. In Proceedings of the ACM Symposium on Solid Modeling and Applications, pages 249--260, Ann Arbor, Michigan, June 2001.
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N. Amenta, S. Choi, and R. Kolluri, "The power crust," Proceedings of 6th ACM Symposium on Solid Modeling, pp. 249-260, 2001.
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N. Amenta, S. Choi and R. Kolluri, "The power crust". Sixth ACM Symposium on Solid Modeling and Applications, pp. 249-260, 2001.
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