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Voronoi Diagrams from (Possibly Discontinuous) Embeddings
2013
2013 10th International Symposium on Voronoi Diagrams in Science and Engineering
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We present different possible applications of these Voronoi diagrams with several examples of generated diagrams. ...
The framework is used to construct a new type of generalized Voronoi diagrams in [0, 1] 2 , which is possibly anisotropic. ...
Acknowledgment: This work has been supported by the ESF EUROCORES Programme EuroGIGA -Voronoi, Austrian Science Foundation (FWF). ...
doi:10.1109/isvd.2013.13
dblp:conf/isvd/KaplAJ13
fatcat:q7pluxcpeve5fmmllzejl7fwbi
Self-Triggered and Team-Triggered Control of Networked Cyber-Physical Systems
[chapter]
2015
Embedded Systems
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diagram is contained in the Voronoi partition, i.e., gV i ⊂ V i , i ∈ {1, . . . , N }. ...
The guaranteed Voronoi diagram is not a partition of S, see Figure 1.2(a) . The for some j = i. Note that ∆ g ij = ∆ g ji . ...
doi:10.1201/b19013-12
fatcat:b5mf5c37xnh6lcniui4wneclg4
Crack propagation in dynamics by embedded strong discontinuity approach: Enhanced solid versus discrete lattice model
2018
Computer Methods in Applied Mechanics and Engineering
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In both models, propagation of cracks activates enhancements in the displacement field leading to embedded strong discontinuities. ...
Both models are based on embedded strong discontinuities for localized cohesive type crack description and both provide the advantage to not to require tracking algorithms. ...
(a) Structure of discrete lattice model with Voronoi cells as units of heterogeneous material and cohesive links between them (b) neighboring Voronoi cells-h is extracted from Voronoi diagram and represents ...
doi:10.1016/j.cma.2018.06.012
fatcat:rekpajwqmneqrphvrhu2vhlnpi
Failure of heterogeneous materials: 3D meso-scale FE models with embedded discontinuities
2010
International Journal for Numerical Methods in Engineering
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To that respect both weak and strong discontinuities are embedded into those elements using the Incompatible Mode Method and a dedicated local solution procedure based on the operator split is described ...
Several macroscopic loading paths are then considered, showing quite complex macroscopic responses though the mesoscopic failure criterion is voluntary chosen as simple as possible. ...
Such task is carried out by using Qhull ( [26] ) which is a general dimension code for computing convex hulls, Delaunay triangulations and Voronoi diagrams. ...
doi:10.1002/nme.2816
fatcat:t4atbf63ezcwlb5opfwq72u6ku
Quad Layout Embedding via Aligned Parameterization
2014
Computer graphics forum (Print)
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Quad layouting, i.e. the partitioning of a surface into a coarse network of quadrilateral patches, is a fundamental step in application scenarios ranging from animation and simulation to reverse engineering ...
This process involves determining the layout's combinatorial structure as well as its geometric embedding in the surface. ...
Models have been obtained from the AIM@SHAPE repository, the Stanford 3D Scanning Repository, and the Image-based 3D Models Archive, Télécom Paris. ...
doi:10.1111/cgf.12401
fatcat:czqntlvuejcanc3devd3ziuyy4
Embedding minimal dynamical systems into Hilbert cubes
[article]
2015
arXiv
pre-print
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Lindenstrauss proved that minimal systems of mean dimension less than N/36 can be embedded into ([0,1]^N)^Z, and he proposed the problem of finding the optimal value of the mean dimension for the embedding ...
We study the problem of embedding minimal dynamical systems into the shift action on the Hilbert cube ([0,1]^N)^Z. ...
Figure 6 . 1 . 61 Voronoi diagram and I(x, n).
( Of course, ∂[a, b] = {a, b}.) For r > 0 we set ∂ r [a, b] = [a − r, a + r] ∪ [b − r, b + r]. (∂ r ∅ = ∅.) ...
arXiv:1511.01802v1
fatcat:ttc5ljqgwzg2ziqwkggx3bgjii
Surface modelling with guaranteed consistency — An object-based approach
[chapter]
1994
Lecture Notes in Computer Science
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The methods described here use the Voronoi diagram to generate surfaces which pass precisely through all data objects (points and line segments) and have no inadvertent surface or slope discontinuities ...
In addition, discontinuities in the slope or the surface itself may be assigned to the line segment objects; and measures of surface consistency may be derived from the values of nearby data objects. ...
François Anton helped greatly with some aspects of the mathematics and diagram preparation, and his assistance is gratefully acknowledged. ...
doi:10.1007/3-540-58795-0_36
fatcat:oj6jtpa6hbez3kmeo3zwwomucq
Density anomaly in a fluid of softly repulsive particles embedded in a spherical surface
2012
Soft Matter
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We investigated the volumetric anomaly of a two-dimensional system of particles embedded in the surface of an inert sphere. ...
The phase diagram of the model exhibits one single fluid phase since the absence of an attractive term in the potential rules out a liquid-vapour phase transition while the curved geometry inhibits the ...
Under spherical boundary conditions, no extended crystalline order is possible though, at low temperatures, local particle arrangements can hardly be distinguished from those found in the solid. ...
doi:10.1039/c2sm26706c
fatcat:xp6htd6w45h7zj67vk7o3tsi6q
Constraining the Infalling Envelope Models of Embedded Protostars: BHR 71 and Its Hot Corino
2020
Astrophysical Journal
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2020 pre-print arXiv:2002.01478v1 fatcat:dbbew5j6cjh2dotz4pzjqjiv2i
We present unambiguous signatures of infall, probed by optically thick molecular lines, toward an isolated embedded protostar, BHR 71 IRS1. ...
We further exclude possible optically thick emission from the optimization, based on the line profile, such as significant deviations from Gaussianity and absorption. ...
However, discontinuities, such as the cavities, in models often lead to unrealistic cell structure in the gridding. ...
doi:10.3847/1538-4357/ab7201
fatcat:4qgx3lbqpza5hck37yzpubuq5u
Combining Truncated Binary Search Tree and Direct Search for Flexible Piecewise Function Evaluation for Explicit MPC in Embedded Microcontrollers
2011
IFAC Proceedings Volumes
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In the case of linear cost-function in Jones et al. (2006) the point location problem was posed as a weighted Voronoi diagram, which can be solved using an approximate nearest neighbor algorithm. ...
The idea is to use these HPs as separating variables in the nodes of the tree to split the partitioned space in a way that the number of candidate functions decreases as much as possible from the current ...
doi:10.3182/20110828-6-it-1002.00332
fatcat:swvh3s6re5hydjq3fcwlmx3alq
Enforcing essential boundary conditions on domains defined by point clouds
[article]
2021
arXiv
pre-print
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Instead of reconstructing a CAD model from point clouds via surface reconstruction and a subsequent boundary conforming mesh generation, a direct analysis without pre-processing is possible using embedded ...
The computation of domain integrals is circumvented by an implicit approximation of corresponding Voronoi diagrams of higher order and the resulting sharp approximation avoids the side-effects of diffuse ...
From now on we will refer to Voronoi diagrams and Voronoi regions and imply that they are generalized of order k for simplicity. ...
arXiv:2111.06502v1
fatcat:jasyj4uneff4znmqauz3ilde64
A weighted difference barrier method in landscape genetics
2009
Journal of Geographical Systems
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The spatial formation is caused by possible multi-parts and discontinued areas of a weighted Voronoi polygon as described earlier. ...
Furthermore, embedded within a GIS environment, we explore the correlation of genetic discontinuities detected based on our weighted method and landscape features. ...
doi:10.1007/s10109-009-0079-7
fatcat:rjaw4wntznfendci3imq5hstvm
Subset Warping: Rubber Sheeting with Cuts
1994
Graphical Models and Image Processing
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To do this, it constructs a set of "slits" in the domain image, which correspond to discontinuities and concavities in the range image, using a technique based on generalized Voronoi diagrams. ...
The Voronoi diagram ¥ £ obtained from the edges is in a sense the dual of that obtained from the vertices of the polygon ¥ ¡ (see figure 2). ...
To do this, it constructs a set of "slits" in the domain image, which correspond to discontinuities and concavities in the range image, using a technique based on generalized Voronoi diagrams. ...
doi:10.1006/gmip.1994.1023
fatcat:zecutke67fbdvasjxezji2d4he
Subset Warping: Rubber Sheeting with Cuts
1994
CVGIP: Graphical Models and Image Processing
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To do this, it constructs a set of "slits" in the domain image, which correspond to discontinuities and concavities in the range image, using a technique based on generalized Voronoi diagrams. ...
The Voronoi diagram ¥ £ obtained from the edges is in a sense the dual of that obtained from the vertices of the polygon ¥ ¡ (see figure 2). ...
To do this, it constructs a set of "slits" in the domain image, which correspond to discontinuities and concavities in the range image, using a technique based on generalized Voronoi diagrams. ...
doi:10.1006/cgip.1994.1022
fatcat:euadveoxavdarikpol5hox7g3y
Deep Learning on Attributed Graphs: A Journey from Graphs to Their Embeddings and Back
[article]
2019
arXiv
pre-print
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We concentrate on two important primitives: embedding graphs or their nodes into a continuous vector space representation (encoding) and, conversely, generating graphs from such vectors back (decoding) ...
Arguably, a powerful embedding network should be able to exploit as much information as possible. ...
On one hand, generated graphs can be easily visualized in standardized structural diagrams. ...
arXiv:1901.08296v1
fatcat:vp6uzgasnrgzpoaqv2dni5bega
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