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Developing performance metrics for a design engineering department

R.K. Buchheim
<span title="">2000</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/lnaleojkqjab3ju227q7syxuii" style="color: black;">IEEE transactions on engineering management</a> </i> &nbsp;
, supremum and Euclidean) in 2 and d -dimensional space.  ...  A definition of the Voronoi diagram in d -dimensional Euclidean space E~ can be given as follows: Definîtion 2.2.1 For a finite set S E E~ , a Vormoi diagram (KU) of S associates to each p E S a Voronoi  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/17.865900">doi:10.1109/17.865900</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/vyj24odqznenbdtvfbf6gzacxi">fatcat:vyj24odqznenbdtvfbf6gzacxi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200320073719/https://prism.ucalgary.ca/bitstream/handle/1880/42433/38468Gavrilova.pdf;jsessionid=22C6C2F6CECEAAB2ED9F2A5807C8EEBB?sequence=1" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/69/98/69981875d65167bb24cacfe0f34c7984ed1e02a7.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/17.865900"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Voronoi Diagrams of Moving Points

Gerhard Albers, Leonidas J. Guibas, Joseph S. B. Mitchell, Thomas Roos
<span title="">1998</span> <i title="World Scientific Pub Co Pte Lt"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/zqzte2yzdrcbbm3r6t44cctd4u" style="color: black;">International journal of computational geometry and applications</a> </i> &nbsp;
Consider a set of n points in d-dimensional Euclidean space, d 2, each of which is continuously moving along a given individual trajectory.  ...  We give a numerically stable algorithm for the update of the topological structure of the Voronoi diagram, using only O(log n) time per event (which is worst-case optimal per event).  ...  Acknowledgement The authors wish to thank Peter Widmayer for carefully reading the manuscript.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1142/s0218195998000187">doi:10.1142/s0218195998000187</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/4vydqzhdpjdopnznvtwaozitwq">fatcat:4vydqzhdpjdopnznvtwaozitwq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170705142614/https://static.aminer.org/pdf/PDF/000/905/271/voronoi_diagrams_of_moving_points.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/eb/e1/ebe16235dc410cc178766808bfeac715abacad40.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1142/s0218195998000187"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> worldscientific.com </button> </a>

Voronoi diagram: An adaptive spatial tessellation for processes simulation [chapter]

Leila Hashemi, Mir Abolfazl, Jacynthe Pouliot
<span title="2010-04-01">2010</span> <i title="InTech"> Modeling Simulation and Optimization - Tolerance and Optimal Control </i> &nbsp;
Acknowledgments The authors would like to acknowledge funding from NSERC and the GEOIDE Network under the GeoTopo3D project.  ...  Formally, let S be a set of points in the d-dimensional Euclidean space, the Voronoi tessellation of S associates to each point S p  a Voronoi cell (element) ) ( p V such that (Okabe et al. 2000 , Edelsbrunner  ...  In addition, a k-dimensional face of d-dimensional Voronoi tessellation corresponds to a (d − k) dimensional face in the Delaunay tessellation.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5772/9033">doi:10.5772/9033</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/hapqavrw3nebzn3sby7f7yqggy">fatcat:hapqavrw3nebzn3sby7f7yqggy</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190501071914/https://cdn.intechopen.com/pdfs/10324.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/d2/54/d25400b2f54416348659357f5df9666ac065d41a.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5772/9033"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Page 4823 of Mathematical Reviews Vol. , Issue 2004f [page]

<span title="">2004</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
L. (3-CALG-C; Calgary, AB); Rokne, J. (3-CALG-C; Calgary, AB) Updating the topology of the dynamic Voronoi diagram for spheres in Euclidean d-dimensional space. (English summary) Comput. Aided Geom.  ...  Summary: “The problem of dynamic maintenance of a Voronoi di- agram for a set of spheres moving independently in d-dimensional space is addressed in this paper.  ... 
<span class="external-identifiers"> </span>
<a target="_blank" rel="noopener" href="https://archive.org/details/sim_mathematical-reviews_2004-06_2004f/page/4823" title="read fulltext microfilm" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Archive [Microfilm] <div class="menu fulltext-thumbnail"> <img src="https://archive.org/serve/sim_mathematical-reviews_2004-06_2004f/__ia_thumb.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a>

Collision Detection Optimization in a Multi-particle System [chapter]

Marina L. Gavrilova, Jon Rokne
<span title="">2002</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
The data structures under consideration are the dynamic generalized Voronoi diagram, the regular spatial subdivision, the regular spatial tree and the set of segment trees.  ...  Methods are studies in a framework of a granular-type materials system. Guidelines for selecting the most appropriate collision detection optimization technique summarize the paper.  ...  A generalized Voronoi diagram (VD) for a set of spheres S in R d is a set of Voronoi regions GV or (P )={x| d(x,P) d(x,Q),∀Q∈ S −{P}}, where d (x,P) isthe distance function between point x ∈ R d and particle  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/3-540-47789-6_11">doi:10.1007/3-540-47789-6_11</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/kmx5qtj7m5arvmfy4kqrxut6vm">fatcat:kmx5qtj7m5arvmfy4kqrxut6vm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180728144911/https://link.springer.com/content/pdf/10.1007%2F3-540-47789-6_11.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/62/d2/62d21a99a98cab6d4b9c0c847076ebdfacf16f5c.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/3-540-47789-6_11"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

COLLISION DETECTION OPTIMIZATION IN A MULTI-PARTICLE SYSTEM

MARINA L. GAVRILOVA, JON ROKNE
<span title="">2003</span> <i title="World Scientific Pub Co Pte Lt"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/zqzte2yzdrcbbm3r6t44cctd4u" style="color: black;">International journal of computational geometry and applications</a> </i> &nbsp;
The data structures under consideration are the dynamic generalized Voronoi diagram, the regular spatial subdivision, the regular spatial tree and the set of segment trees.  ...  Methods are studies in a framework of a granular-type materials system. Guidelines for selecting the most appropriate collision detection optimization technique summarize the paper.  ...  A generalized Voronoi diagram (VD) for a set of spheres S in R d is a set of Voronoi regions GV or (P )={x| d(x,P) d(x,Q),∀Q∈ S −{P}}, where d (x,P) isthe distance function between point x ∈ R d and particle  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1142/s0218195903001189">doi:10.1142/s0218195903001189</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/k5jrq5h2bffs7ksi3zcy7bezua">fatcat:k5jrq5h2bffs7ksi3zcy7bezua</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180728144911/https://link.springer.com/content/pdf/10.1007%2F3-540-47789-6_11.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/62/d2/62d21a99a98cab6d4b9c0c847076ebdfacf16f5c.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1142/s0218195903001189"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> worldscientific.com </button> </a>

Dynamic maintenance and visualization of molecular surfaces

Chandrajit L. Bajaj, Valerio Pascucci, Ariel Shamir, Robert J. Holt, Arun N. Netravali
<span title="">2003</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/lx7dev2le5anbg6oarljwh7lie" style="color: black;">Discrete Applied Mathematics</a> </i> &nbsp;
In particular, we discuss two main classes of dynamic updates: one that keeps the topology of the molecular con guration xed, and a more complicated case where the topology may be updated continuously.  ...  For example, changes in the probe radius result in both geometric and topological changes to the set of patches.  ...  More generally, for a set of balls in d-dimensional space this requires the construction of a complex of convex polytopes in (d+1)-dimensional space whose \horizontal" slices are all the possible Power  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0166-218x(02)00283-4">doi:10.1016/s0166-218x(02)00283-4</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/6nirxmk4l5ehhcvrardicgqo4e">fatcat:6nirxmk4l5ehhcvrardicgqo4e</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170921231457/http://www.pascucci.org/pdf-papers/dynamicDAM.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/1c/74/1c74ad286f4b11702ff39ad34552f9f67055ced8.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0166-218x(02)00283-4"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Voronoi Diagrams for Parallel Halflines and Line Segments in Space

Franz Aurenhammer, Bert Jüttler, Günter Paulini, Marc Herbstritt
<span title="2017-12-04">2017</span> <i > <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/6u44dxxc6ffsdc6pb66slxylg4" style="color: black;">International Symposium on Algorithms and Computation</a> </i> &nbsp;
We consider the Euclidean Voronoi diagram for a set of n parallel halflines in R 3 .  ...  Moreover, an easy-to-implement space sweep algorithm is proposed that computes the Voronoi diagram for parallel halflines at logarithmic cost per face.  ...  Introduction The Voronoi diagram of a set of sites in Euclidean d-space R d is a powerful and widely used geometric partitioning structure.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.4230/lipics.isaac.2017.7">doi:10.4230/lipics.isaac.2017.7</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/isaac/AurenhammerJP17.html">dblp:conf/isaac/AurenhammerJP17</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/yr47rzqu6rbgdnecslhcvufvpm">fatcat:yr47rzqu6rbgdnecslhcvufvpm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20220128170648/https://drops.dagstuhl.de/opus/volltexte/2017/8215/pdf/LIPIcs-ISAAC-2017-7.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/27/85/27851e82e348aab6b06c94e3619e5c902c942f42.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.4230/lipics.isaac.2017.7"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

The Kinetic 3D Voronoi Diagram: A Tool for Simulating Environmental Processes [chapter]

Hugo Ledoux
<span title="">2008</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/p6i6cjwdufamvorss6zd5odq6u" style="color: black;">Lecture Notes in Geoinformation and Cartography</a> </i> &nbsp;
In this paper, I discuss the use of the FLM-based on the Voronoi diagram (VD)-for the modelling of fluid flow in three dimensions (e.g. the movement of underground water or of pollution plumes in the ocean  ...  Such a technique requires the kinetic three-dimensional VD, which is a VD for which the points are allowed to move freely in space.  ...  Acknowledgements I would like to thank Christopher Gold and Maciej Dakowicz for several useful discussions concerning the kinetic Voronoi diagram in two dimensions.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-540-72135-2_20">doi:10.1007/978-3-540-72135-2_20</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/f6y253wz3ff33bnwk34cjywram">fatcat:f6y253wz3ff33bnwk34cjywram</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170922222933/http://www.gdmc.nl/publications/2008/Kinetic_3D_Voronoi_Diagram.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/89/50/8950e95b971fc18c37cb2ae8c05801927c375dbf.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-540-72135-2_20"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Computational geometry for patient-specific reconstruction and meshing of blood vessels from MR and CT angiography

L. Antiga, B. Ene-Iordache, A. Remuzzi
<span title="">2003</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/yhnt2pif75h2bmnnmdg7m6nlc4" style="color: black;">IEEE Transactions on Medical Imaging</a> </i> &nbsp;
on Voronoi diagram.  ...  Investigation of three-dimensional (3-D) geometry and fluid-dynamics in human arteries is an important issue in vascular disease characterization and assessment.  ...  ACKNOWLEDGMENT The authors would like to thank Dr. L. Caverni and Dr. G. P. Cornalba from Radiology Unit, Ospedale San Paolo, Milano, Italy, for CT and MR angiographic acquisitions.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tmi.2003.812261">doi:10.1109/tmi.2003.812261</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/12846436">pmid:12846436</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/7mo5th6kmfeb7mh5o2sblgb5s4">fatcat:7mo5th6kmfeb7mh5o2sblgb5s4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20110826205540/http://csce.uark.edu/~jgauch/library/papers/Antiga.2003.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/0a/04/0a047aca09cc5f9c2d7c6ce5b453a9626b2a8cb0.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tmi.2003.812261"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Sensor-based reactive navigation in unknown convex sphere worlds

Omur Arslan, Daniel E Koditschek
<span title="2018-09-05">2018</span> <i title="SAGE Publications"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/uhsvnr5ecvb4die3422lvgaz6q" style="color: black;">The international journal of robotics research</a> </i> &nbsp;
closed-loop vector field whose smooth flow brings almost all configurations in the robot's free space to a designated goal location, with the guarantee of no collisions along the way.  ...  closed-loop vector field whose smooth flow brings almost all configurations in the robot's free space to a designated goal location, with the guarantee of no collisions along the way.  ...  This work was supported by AFOSR under the CHASE MURI FA9550-10-1-0567.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1177/0278364918796267">doi:10.1177/0278364918796267</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/yovjsvh3njfu7f6obytbhjxaiu">fatcat:yovjsvh3njfu7f6obytbhjxaiu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190429131021/https://repository.upenn.edu/cgi/viewcontent.cgi?article=1904&amp;context=ese_papers" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/c0/ba/c0ba38b5d274de479fd4ee564a9111c582151f26.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1177/0278364918796267"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> sagepub.com </button> </a>

Dynamic Voronoi Diagram for Moving Disks

Chanyoung Song, Jehyun Cha, Mokwon Lee, Deok-Soo Kim
<span title="2019-12-16">2019</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/hjrujdrg7zaghbdsp5pdzq7cmm" style="color: black;">IEEE Transactions on Visualization and Computer Graphics</a> </i> &nbsp;
We present a topology-oriented event-increment (TOI-E) algorithm for constructing a Voronoi diagram of moving circular disks in the plane over the time horizon [ 0, t∞).  ...  Dynamic Voronoi diagrams will be very useful as a platform for the planning and management of the traffics of unmanned vehicles such as cars on street, vessels on surface, drones and airplanes in air,  ...  TABLE 1 The 1 Degree of the Polynomial for the Dynamic Voronoi Diagram (fðtÞ in Eq. (1)) 2-dimension 3-dimension d-dimension Ordinary VD of points 4 5 d + 2 VD of disks(spheres) 8 10 2(d +  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tvcg.2019.2959321">doi:10.1109/tvcg.2019.2959321</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/31841411">pmid:31841411</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/6pkc65hhjfgqrk6mhq2uoh7niq">fatcat:6pkc65hhjfgqrk6mhq2uoh7niq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210718015539/https://ieeexplore.ieee.org/ielx7/2945/9429958/08933488.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/69/ee/69ee16b8c51677a55632daa3ba611581f5359c0f.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tvcg.2019.2959321"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Generalised primal-dual grids for unstructured co-volume schemes

Darren Engwirda
<span title="">2018</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/f7kkigxhzjakref5b42jt4uoya" style="color: black;">Journal of Computational Physics</a> </i> &nbsp;
for the simulation of fluid dynamics and hyperbolic transport.  ...  In this study, a new hybrid optimisation strategy is proposed; seeking to optimise the geometry, topology and weights associated with general, two-dimensional Regular-Power tessellations using a combination  ...  . , (x n , w n )}, where {x i } ∈ R d are a set of points embedded in d-dimensional Euclidean space and {w i } ∈ R are an associated set of scalar weights.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.jcp.2018.07.025">doi:10.1016/j.jcp.2018.07.025</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/svlmeafbmngnzcgibz3cx6vadq">fatcat:svlmeafbmngnzcgibz3cx6vadq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200901021047/https://arxiv.org/pdf/1712.02657v1.pdf" title="fulltext PDF download [not primary version]" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <span style="color: #f43e3e;">&#10033;</span> <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/71/c6/71c6fd5aaa3fb525ca59cc6d080bbd355def3f5d.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.jcp.2018.07.025"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Voronoi diagrams---a survey of a fundamental geometric data structure

Franz Aurenhammer
<span title="1991-09-01">1991</span> <i title="Association for Computing Machinery (ACM)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/eiea26iqqjcatatlgxdpzt637y" style="color: black;">ACM Computing Surveys</a> </i> &nbsp;
any metric in R2 that induces the euclidean topology.  ...  For W(p) >0, one may think of the weighted site p as a sphere in R d with radius around p; for a point x outside this sphere, pow( x, p) > 0, and v"-expresses the distance of x to the touching point of  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/116873.116880">doi:10.1145/116873.116880</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/a6vg5x4mj5fnnckqcrksfwlh2i">fatcat:a6vg5x4mj5fnnckqcrksfwlh2i</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20070612223013/http://web.cs.swarthmore.edu/~adanner/cs97/p345-aurenhammer.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/5b/53/5b5332e79aefa3b913d42a434b8ddb09b31b5b2e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/116873.116880"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> acm.org </button> </a>

From Segmented Images to Good Quality Meshes Using Delaunay Refinement [chapter]

Jean-Daniel Boissonnat, Jean-Philippe Pons, Mariette Yvinec
<span title="">2009</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
This is also of interest when input images are transformed into data points in some higher dimensional space as is common practice in machine learning.  ...  a topological point of view.  ...  Acknowledgments Research reported in this paper has been conducted in collaboration with Steve Oudot, Laurent Rineau and Camille Wormser who are gratefully acknowledged.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-00826-9_2">doi:10.1007/978-3-642-00826-9_2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/raeabxptmfhhpis3irgby5d4ri">fatcat:raeabxptmfhhpis3irgby5d4ri</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170922001017/http://certis.enpc.fr/publications/papers/ETVC08.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/3f/5b/3f5b8bb6bcb599bce9ade33b140a49bc47d128d3.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-00826-9_2"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>
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