% References for: % Simplex and Diamond Hierarchies: Models and Applications % Kenneth Weiss, Leila De Floriani % Computer Graphics Forum 30(8):2127--2155, 2011. @ARTICLE{Weis11_cg_forum, author = {Weiss, K. and {De Floriani}, L.}, title = {Simplex and Diamond Hierarchies: Models and Applications}, journal = {Computer Graphics Forum}, year = {2011}, volume = {30}, pages = {2127--2155}, number = {8}, doi = {http://dx.doi.org/10.1111/j.1467-8659.2011.01853.x}, publisher = {Eurographics Association} } %% References @ARTICLE{Alex30, author = {Alexander, J.W.}, title = {The combinatorial theory of complexes}, journal = {The Annals of Mathematics}, year = {1930}, volume = {31}, pages = {292--320}, number = {2}, publisher = {Annals of Mathematics} } @BOOK{Allg03, title = {Introduction to numerical continuation methods}, publisher = {Society for Industrial and Applied Mathematics}, year = {2003}, author = {Allgower, E.L. and Georg, K.}, volume = {45}, pages = {388}, series = {Classics in applied mathematics}, isbn = {9780898715446} } @ARTICLE{Allg79, author = {Allgower, E. and Georg, K.}, title = {Generation of triangulations by reflection}, journal = {Utilitas Mathematica}, year = {1979}, volume = {16}, pages = {123--129} } @INPROCEEDINGS{Ande05, author = {Anderson, J.C. and Bennett, J.C. and Joy, K.I.}, title = {Marching Diamonds for Unstructured Meshes}, booktitle = {Proceedings IEEE Visualization}, year = {2005}, pages = {423--429}, address = {Minneapolis, MN.}, month = {Oct.}, publisher = {IEEE}, doi = {10.1109/VISUAL.2005.1532825} } @ARTICLE{Arno00, author = {Arnold, D.N. and Mukherjee, A. and Pouly, L.}, title = {Locally adapted tetrahedral meshes using bisection}, journal = {SIAM Journal on Scientific Computing}, year = {2000}, volume = {22}, pages = {431--448}, number = {2}, doi = {10.1137/S1064827597323373} } @PHDTHESIS{Atal04b, author = {Atalay, F.B.}, title = {Spatial Decompositions for Geometric Interpolation and Efficient Rendering}, school = {University of Maryland, College Park}, year = {2004}, url = {http://hdl.handle.net/1903/1812} } @INPROCEEDINGS{Atal06, author = {Atalay, F.B. and Mount, D.M.}, title = {The Cost of Compatible Refinement of Simplex Decomposition Trees}, booktitle = {Proc. International Meshing Roundtable}, year = {2006}, editor = {P{\'{e}}bay, Philippe P.}, pages = {57--69}, address = {Berlin Heidelberg}, publisher = {Springer}, doi = {http://dx.doi.org/10.1007/978-3-540-34958-7_4}, isbn = {978-3-540-34958-7}, keyword = {Engineering} } @ARTICLE{Atal07, author = {Atalay, F.B. and Mount, D.M.}, title = {Pointerless implementation of hierarchical simplicial meshes and efficient neighbor finding in arbitrary dimensions}, journal = {International Journal of Computational Geometry and Applications}, year = {2007}, volume = {17}, pages = {595--631}, number = {6}, doi = {10.1142/S0218195907002495}, publisher = {World Scientific Publishing} } @INPROCEEDINGS{Balm98, author = {Balmelli, L. and Ayer, S. and Vetterli, M.}, title = {Efficient algorithms for embedded rendering of terrain models}, booktitle = {Proceeding International Conference on Image Processing (ICIP)}, year = {1998}, volume = {2}, pages = {914--918}, address = {Chicago, IL , USA}, month = {Oct.}, publisher = {IEEE}, doi = {10.1109/ICIP.1998.723704} } @ARTICLE{Balm03, author = {Balmelli, L. and Liebling, T. and Vetterli, M.}, title = {Computational analysis of mesh simplification using global error}, journal = {Computational Geometry Theory and Applications}, year = {2003}, volume = {25}, pages = {171--196}, number = {3}, address = {Amsterdam, The Netherlands, The Netherlands}, doi = {http://dx.doi.org/10.1016/S0925-7721(02)00166-9}, issn = {0925-7721}, publisher = {Elsevier Science Publishers B. V.} } @INCOLLECTION{Bank83, author = {Bank, R.E. and Sherman, A. H. and Weiser, A.}, title = {Refinement algorithms and data structures for regular local mesh refinement}, booktitle = {Scientific Computing, {IMACS}}, publisher = {North-Holland}, year = {1983}, editor = {Stepleman, R. and Carver, M. and Peskin, R. and Ames, W. F. and Vichnevetsky, R.}, volume = {1}, pages = {3--17}, address = {Amsterdam} } @PHDTHESIS{Bast94, author = {Bastian, P.}, title = {Parallele adaptive Mehrgitterverfahren}, school = {University of Heidelberg}, year = {1994}, address = {Germany} } @ARTICLE{Bent75, author = {Bentley, J. L.}, title = {Multidimensional Binary Search Trees Used For Associative Searching}, journal = {Communications of the ACM}, year = {1975}, volume = {18}, pages = {509--517}, number = {9} } @ARTICLE{Bey00, author = {Bey, J.}, title = {Simplicial grid refinement: {O}n {F}reudenthal's algorithm and the optimal number of congruence classes}, journal = {Numerische Mathematik}, year = {2000}, volume = {85}, pages = {1--29}, number = {1}, publisher = {Springer} } @ARTICLE{Bey95, author = {Bey, J.}, title = {Tetrahedral Mesh Refinement}, journal = {Computing}, year = {1995}, volume = {55}, pages = {355--378}, number = {4}, doi = {10.1007/BF02238487} } @INPROCEEDINGS{Blow00, author = {Blow, J.}, title = {Terrain Rendering at High Levels of Detail}, booktitle = {Proceedings of the Game Developers Conference}, year = {2000}, address = {San Jose, CA} } @ARTICLE{Borg04, author = {Borgo, R. and Pascucci, V. and Scopigno, R. and Cignoni, P.}, title = {A {P}rogressive {S}ubdivision {P}aradigm ({PSP})}, journal = {Proceedings of SPIE}, year = {2004}, volume = {5295}, pages = {223}, publisher = {SPIE} } @ARTICLE{Bans91, author = {B{\"{a}}nsch, E.}, title = {Local mesh refinement in 2 and 3 dimensions}, journal = {IMPACT of Computing in Science and Engineering}, year = {1991}, volume = {3}, pages = {181--191}, number = {3}, doi = {10.1016/0899-8248(91)90006-G} } @ARTICLE{Cast06, author = {Castelo, A. and Nonato, L.G. and Siqueira, M.F. and Minghim, R. and Tavares, G.}, title = {The ${J}_1^a$ triangulation: An adaptive triangulation in any dimension}, journal = {Computers \& Graphics}, year = {2006}, volume = {30}, pages = {737--753}, number = {5}, doi = {10.1016/j.cag.2006.07.025}, issn = {0097-8493} } @ARTICLE{Catm78, author = {Catmull, E. and Clark, J.}, title = {Recursively generated B-spline surfaces on arbitrary topological meshes}, journal = {Computer-Aided Design}, year = {1978}, volume = {10}, pages = {350--355}, number = {6}, doi = {10.1016/0010-4485(78)90110-0}, publisher = {Elsevier} } @ARTICLE{Chan06, author = {Chang, Y.S. and Qin, H. }, title = {A Unified Subdivision Approach for Multi-Dimensional Non-Manifold Modeling}, journal = {Computer Aided Design}, year = {2006}, volume = {38}, pages = {770--785}, number = {7}, doi = {10.1016/j.cad.2006.04.004} } @ARTICLE{Cign04, author = {Cignoni, P. and Ganovelli, F. and Gobbetti, E. and Marton, F. and Ponchio, F. and Scopigno, R.}, title = {Adaptive tetrapuzzles: {E}fficient out-of-core construction and visualization of gigantic multiresolution polygonal models}, journal = {ACM Transactions on Graphics}, year = {2004}, volume = {23}, pages = {796--803}, number = {3}, doi = {10.1145/1015706.1015802}, publisher = {ACM New York, NY, USA} } @ARTICLE{Cign03b, author = {Cignoni, P. and Ganovelli, F. and Gobbetti, E. and Marton, F. and Ponchio, F. and Scopigno, R.}, title = {{BDAM} -- {Batched Dynamic Adaptive Meshes} for High Performance Terrain Visualization}, journal = {Computer Graphics Forum}, year = {2003}, volume = {22}, pages = {505--514}, number = {3}, publisher = {Blackwell Synergy} } @INPROCEEDINGS{Cign03c, author = {Cignoni, P. and Ganovelli, F. and Gobbetti, E. and Marton, F. and Ponchio, F. and Scopigno, R.}, title = {{P}lanet-Sized {B}atched {D}ynamic {A}daptive {M}eshes ({P-BDAM})}, booktitle = {Proceedings IEEE Visualization}, year = {2003}, pages = {147--154}, publisher = {IEEE Computer Society Washington, DC, USA}, doi = {http://dx.doi.org/10.1109/VISUAL.2003.1250366} } @BOOK{Corm01, title = {Introduction to algorithms}, publisher = {The MIT press}, year = {2001}, author = {Cormen, T.H. and Leiserson, C.E. and Rivest, R.L. and Stein, C.} } @ARTICLE{Dahm82, author = {Dahmen, Wolfgang A. and Micchelli, Charles A.}, title = {On the Linear Independence of Multivariate B-Splines, {I.} {T}riangulations of Simploids}, journal = {SIAM Journal on Numerical Analysis}, year = {1982}, volume = {19}, pages = {993--1012}, number = {5}, issn = {00361429}, publisher = {Society for Industrial and Applied Mathematics}, url = {http://www.jstor.org/stable/2156989} } @INCOLLECTION{DeFl99c, author = {{De Floriani}, L. and Magillo, P. and Puppo, E.}, title = {Multi-resolution Representation of Shapes Based on Cell Complexes}, booktitle = {Discrete Geometry for Computer Imagery}, publisher = {Springer Verlag}, year = {1999}, editor = {Bertrand, G. and Couprie, M. and Perroton, L.}, volume = {1568}, series = {Lecture Notes in Computer Science}, pages = {3--18}, address = {New York}, doi = {10.1007/3-540-49126-0_1} } @INCOLLECTION{DeFl04e, author = {{De~Floriani}, L. and Lee, M.}, title = {Selective Refinement on Nested Tetrahedral Meshes}, booktitle = {Geometric Modeling for Scientific Visualization}, publisher = {Springer Verlag}, year = {2004}, editor = {Brunett, G. and Hamann, B. and Mueller, H.}, series = {Mathematics and Visualization}, pages = {329--344}, address = {Berlin Heidelberg} } @INCOLLECTION{DeFl02b, author = {{De~Floriani}, L. and Magillo, P.}, title = {Multiresolution mesh representation: {M}odels and data structures}, booktitle = {Principles of Multi-resolution Geometric Modeling}, publisher = {Springer Verlag}, year = {2002}, editor = {Floater, M. and Iske, A. and Quak, E.}, series = {Lecture Notes in Mathematics}, pages = {364--418}, address = {Berlin} } @ARTICLE{DeFl03c, author = {L. {De~Floriani} and P. Magillo}, title = {Algorithms for Visibility Computation on Terrains: {A} Survey}, journal = {Environment and Planning B - Planning and Design}, year = {2003}, volume = {30}, pages = {709--728}, number = {5} } @INPROCEEDINGS{DeFl02e, author = {L. {De~Floriani} and P. Magillo and E. Puppo and D. Sobrero}, title = {A Multi-Resolution Topological Representation for Non-Manifold Meshes}, booktitle = {Proceedings 7th ACM Symposium on Solid Modeling and Applications (SM02)}, year = {2002}, month = {June}, publisher = {ACM Press} } @ARTICLE{DeFl95b, author = {L. {De~Floriani} and E. Puppo}, title = {Hierarchical Triangulation for Multi-resolution Surface Description}, journal = {ACM Transactions on Graphics}, year = {1995}, volume = {14}, pages = {363--411}, number = {4}, month = {October}, publisher = {ACM Press} } @INCOLLECTION{DeFl97h, author = {{De~Floriani}, L. and Puppo, E. and Magillo, P.}, title = {A Formal Approach to Multi-resolution Modeling}, booktitle = {Geometric Modeling: Theory and Practice}, publisher = {Springer-Verlag}, year = {1997}, editor = {Strasser, W. and Klein, R. and Rau, R.}, pages = {302--323}, address = {Berlin Heidelberg} } @INPROCEEDINGS{Duch97, author = {Duchaineau, M. and Wolinsky, M. and Sigeti, D. E. and Miller, M. C. and Aldrich, C. and Mineev-Weinstein, M. B.}, title = {{ROAM}ing terrain: {R}eal-time {O}ptimally {A}dapting {M}eshes}, booktitle = {Proceedings {IEEE} Visualization}, year = {1997}, editor = {Yagel, R. and Hagen, H.}, series = {VIS '97}, pages = {81--88}, address = {Los Alamitos, CA, USA}, month = {October}, publisher = {IEEE Computer Society}, doi = {http://doi.ieeecomputersociety.org/10.1109/VISUAL.1997.663860}, location = {Phoenix, AZ} } @ARTICLE{Edel02, author = {Edelsbrunner, H. and Letscher, D. and Zomorodian, A.}, title = {Topological persistence and simplification}, journal = {Discrete and Computational Geometry}, year = {2002}, volume = {28}, pages = {511--533}, number = {4}, publisher = {Springer} } @ARTICLE{Evan01, author = {Evans, W. and Kirkpatrick, D. and Townsend, G.}, title = {Right-Triangulated Irregular Networks}, journal = {Algorithmica}, year = {2001}, volume = {30}, pages = {264--286}, number = {2}, doi = {10.1007/s00453-001-0006-x} } @ARTICLE{Freu42, author = {Freudenthal, H.}, title = {Simplizialzerlegungen von besch\-rankter flachheit}, journal = {Annals of Mathematics}, year = {1942}, volume = {43}, pages = {580--582}, number = {3}, publisher = {Princeton University Press} } @INPROCEEDINGS{Fris00, author = {Frisken, S. F. and Perry, R. N. and Rockwood, A. P. and Jones, T. R.}, title = {Adaptively sampled distance fields: a general representation of shape for computer graphics}, booktitle = {Proceedings SIGGRAPH}, year = {2000}, pages = {249--254}, address = {New Orleans, LA}, month = {July}, publisher = {ACM Press} } @INPROCEEDINGS{Fuji95, author = {Fujishiro, I. and Maeda,Y. and Sato,H.}, title = {Interval volume: {A} solid fitting technique for volumetric data display and analysis}, booktitle = {Proceedings IEEE Visualization}, year = {1995}, series = {VIS '95}, pages = {151--158}, address = {Los Alamitos, CA, USA}, publisher = {IEEE Computer Society}, doi = {http://doi.ieeecomputersociety.org/10.1109/VISUAL.1995.480807}, issn = {1070-2385}, location = {Atlanta, GA} } @ARTICLE{Garg82a, author = {Gargantini, I.}, title = {An effective way to represent quadtrees}, journal = {Communications of the {ACM}}, year = {1982}, volume = {25}, pages = {905--910}, number = {12}, month = {December}, doi = {http://doi.acm.org/10.1145/358728.358741}, publisher = {ACM} } @ARTICLE{Gers03, author = {T. Gerstner}, title = {Multi-resolution Visualization and Compression of Global Topographic Data}, journal = {GeoInformatica}, year = {2003}, volume = {7}, pages = {7--32}, number = {1} } @TECHREPORT{Gers03b, author = {T. Gerstner}, title = {Top-Down View-Dependent Terrain Triangulation using the Octagon Metric}, institution = {Institut f\"{u}r Angewandte Mathematik, University of Bonn}, year = {2003} } @ARTICLE{Gers02b, author = {Gerstner, T.}, title = {Multiresolution Extraction and Rendering of Transparent Isosurfaces}, journal = {Computers \& Graphics}, year = {2002}, volume = {26}, pages = {219--228}, number = {2}, annote = {256C} } @INPROCEEDINGS{Gers02, author = {Gerstner, T. and Meetschen, D. and Crewell, S. and Griebel, M. and Simmer, C.}, title = {A Case Study on Multiresolution Visualization of Local Rainfall from Weather Radar Measurements}, booktitle = {Proceedings IEEE Visualization}, year = {2002}, editor = {Pfister, H. and Bailey, M.}, series = {VIS '02}, pages = {533--536}, month = {October}, organization = {IEEE Computer Society Washington, DC, USA}, publisher = {IEEE Computer Society Press}, doi = {10.1109/VISUAL.2002.1183823}, location = {Boston, MA} } @INPROCEEDINGS{Gers00, author = {T. Gerstner and R. Pajarola}, title = {Topology-Preserving and Controlled Topology Simplifying Multi-resolution Isosurface Extraction}, booktitle = {Proceedings IEEE Visualization}, year = {2000}, series = {VIS '00}, pages = {259--266}, publisher = {IEEE}, doi = {10.1109/VISUAL.2000.885703}, location = {Salt Lake City, UT, USA} } @INPROCEEDINGS{Gers99, author = {Gerstner, T. and Rumpf, M.}, title = {Multiresolutional Parallel Isosurface Extraction Based on Tetrahedral Bisection}, booktitle = {Proceedings Symposium on Volume Visualization}, year = {1999}, pages = {267--278}, publisher = {ACM Press} } @ARTICLE{Gers00b, author = {Gerstner, T. and Rumpf, M. and Weikard, U.}, title = {Error Indicators for Multilevel Visualization and Computing on Nested Grids}, journal = {Computers \& Graphics}, year = {2000}, volume = {24}, pages = {363--373}, number = {3} } @ARTICLE{Gobb06, author = {Gobbetti, E. and Marton, F. and Cignoni, P. and Di Benedetto, M. and Ganovelli, F.}, title = {{C-BDAM} -– {Compressed Batched Dynamic Adaptive Meshes} for Terrain Rendering}, journal = {Computer Graphics Forum}, year = {2006}, volume = {25}, pages = {333--342}, number = {3}, doi = {10.1111/j.1467-8659.2006.00952.x} } @INPROCEEDINGS{Gosw10, author = {Goswami, P. and Makhinya, M. and B{\"{o}}sch, J. and Pajarola, R.}, title = {Scalable Parallel Out-of-core Terrain Rendering}, booktitle = {Proceedings Eurographics Symposium on Parallel Graphics and Visualization}, year = {2010}, pages = {63--71} } @ARTICLE{Grea99, author = {Greaves, D. M. and Borthwick, A. G. L.}, title = {Hierarchical tree-based finite element mesh generation}, journal = {Int'l Journal for Numerical Methods in Engineering}, year = {1999}, volume = {45}, pages = {447--471}, number = {4} } @INPROCEEDINGS{Greg02, author = {Gregorski, B. and Duchaineau, M. and Lindstrom, P. and Pascucci, V. and Joy, K.}, title = {Interactive View-Dependent Rendering of Large Isosurfaces}, booktitle = {Proceedings IEEE Visualization}, year = {2002}, series = {VIS '02}, pages = {475--484}, month = {October}, organization = {IEEE Computer Society Washington, DC, USA}, doi = {10.1109/VISUAL.2002.1183810}, location = {Boston, MA} } @ARTICLE{Greg04, author = {Gregorski, B. and Senecal, J. and Duchaineau, M.A. and Joy, K.I.}, title = {Adaptive extraction of time-varying isosurfaces}, journal = {IEEE Transactions on Visualization and Computer Graphics}, year = {2004}, volume = {10}, pages = {683-694}, number = {6}, address = {Los Alamitos, CA, USA}, doi = {http://doi.ieeecomputersociety.org/10.1109/TVCG.2004.35}, issn = {1077-2626}, publisher = {IEEE Computer Society} } @INCOLLECTION{Greg09, author = {Gregorski, B. and Senecal, J. and Duchaineau, M. and Joy, K. I.}, title = {Compression and Occlusion Culling for Fast Isosurface Extraction from Massive Datasets}, booktitle = {Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration}, publisher = {Springer}, year = {2009}, editor = {Farin, G. and Hege, H.-C. and Hoffman, D. and Johnson, C.R. and Polthier, K.}, series = {Mathematics and Visualization}, pages = {303--323}, address = {Berlin Heidelberg}, doi = {10.1007/b106657_16} } @ARTICLE{Grei00, author = {Greiner, G. and Grosso, R.}, title = {Hierarchical Tetrahedral-Octahedral Subdivision for Volume Visualization}, journal = {The Visual Computer}, year = {2000}, volume = {16}, pages = {357--369}, number = {6}, doi = {10.1007/PL00007214} } @INPROCEEDINGS{Gros98b, author = {Grosso, R. and Greiner, G.}, title = {Hierarchical meshes for volume data}, booktitle = {Proceedings Computer Graphics International}, year = {1998}, pages = {761--769} } @INPROCEEDINGS{Guo95, author = {Guo, B.}, title = {Interval Set: A Volume Rendering Technique Generalizing Isosurface Extraction}, booktitle = {Proceedings IEEE Visualization}, year = {1995}, series = {VIS '95}, pages = {3--10}, publisher = {IEEE Computer Society Washington, DC, USA}, doi = {10.1109/VISUAL.1995.480789}, location = {Atlanta, GA} } @ARTICLE{Hebe98, author = {Hebert, D.J.}, title = {Cyclic Interlaced Quadtree Algorithms for Quincunx Multiresolution}, journal = {Journal of Algorithms}, year = {1998}, volume = {27}, pages = {97--128}, number = {1}, publisher = {Academic Press} } @ARTICLE{Hebe94, author = {Hebert, D.J.}, title = {Symbolic Local Refinement of Tetrahedral Grids}, journal = {Journal of Symbolic Computation}, year = {1994}, volume = {17}, pages = {457--472}, number = {5}, month = {May} } @INPROCEEDINGS{Hebe95, author = {Hebert, D.~J. and Kim, H.}, title = {Image encoding with triangulation wavelets}, booktitle = {Proceedings SPIE}, year = {1995}, volume = {2569}, pages = {381-392}, doi = {10.1117/12.217594}, location = {San Diego, CA} } @ARTICLE{Hwa05, author = {Hwa, L.M. and Duchaineau, M.A. and Joy, K.I.}, title = {Real-Time Optimal Adaptation for Planetary Geometry and Texture: 4-8 Tile Hierarchies}, journal = {IEEE Transactions on Visualization and Computer Graphics}, year = {2005}, volume = {11}, pages = {355--368}, number = {4}, doi = {http://doi.ieeecomputersociety.org/10.1109/TVCG.2005.65}, publisher = {IEEE Computer Society} } @ARTICLE{Kimu04, author = {Kimura, A. and Takama, Y. and Yamazoe, Y. and Tanaka, S. and Tanaka, H}, title = {Parallel volume segmentation with tetrahedral adaptive grid}, journal = {International Conference on Pattern Recognition}, year = {2004}, volume = {2}, pages = {281-286}, doi = {10.1109/ICPR.2004.1334162} } @ARTICLE{Koss94, author = {Kossaczk{\'{y}}, I.}, title = {A recursive approach to local mesh refinement in two and three dimensions}, journal = {Journal of Computational and Applied Mathematics}, year = {1994}, volume = {55}, pages = {275--288}, number = {3}, doi = {10.1016/0377-0427(94)90034-5} } @ARTICLE{Kuhn60, author = {Kuhn, H.W.}, title = {Some combinatorial lemmas in topology}, journal = {IBM J. Res. Develop}, year = {1960}, volume = {4}, pages = {518--524} } @INPROCEEDINGS{Lari03, author = {Lario, R. and Pajarola, R. and Tirado, F.}, title = {HyperBlock-{QuadTIN}: Hyper-Block Quadtree based Triangulated Irregular Networks}, booktitle = {Proceedings IASTED International Conference on Visualization, Imaging and Image Processing (VIIP)}, year = {2003}, pages = {733--738}, location = {Benalm{\'{a}}dena, Spain} } @PHDTHESIS{Lee06, author = {Lee, M.}, title = {Spatial Modeling using Triangular, Tetrahedral and Pentatopic Decompositions}, school = {The University of Maryland, College Park}, year = {2006}, url = {http://hdl.handle.net/1903/3534} } @INPROCEEDINGS{LeeD04, author = {M. Lee and L. {De~Floriani} and H. Samet}, title = {Constant-time Navigation in Four-Dimensional Nested Simplicial Meshes}, booktitle = {Proceedings Shape Modeling International 2004}, year = {2004}, pages = {221--230}, address = {Genova, Italy}, month = {June}, publisher = {IEEE Computer Society}, doi = {10.1109/SMI.2004.1314509} } @INPROCEEDINGS{Lee01, author = {M. Lee and L. {De~Floriani} and H. Samet}, title = {Constant-Time Neighbor Finding in Hierarchical Tetrahedral Meshes}, booktitle = {Proceedings International Conference on Shape Modeling}, year = {2001}, pages = {286--295}, address = {Genova, Italy}, month = {May}, publisher = {IEEE Computer Society} } @ARTICLE{LeeS00, author = {Lee, M. and Samet, H.}, title = {Navigating through Triangle Meshes Implemented as Linear Quadtrees}, journal = {ACM Transactions on Graphics}, year = {2000}, volume = {19}, pages = {79--121}, number = {2}, month = {April}, doi = {http://doi.acm.org/10.1145/343593.343598} } @INPROCEEDINGS{Leve02, author = {Levenberg, J.}, title = {Fast view-dependent level-of-detail rendering using cached geometry}, booktitle = {Proceedings IEEE Visualization}, year = {2002}, series = {VIS '02}, pages = {259--266}, address = {Washington, DC, USA}, publisher = {IEEE Computer Society}, doi = {10.1109/VISUAL.2002.1183783}, isbn = {0-7803-7498-3}, location = {Boston, MA} } @ARTICLE{Lewi06, author = {Lewiner, T. and Lopes, H. and Velho, L. and Mello, V.}, title = {Extraction and compression of hierarchical isocontours from image data}, journal = {Computerized Medical Imaging and Graphics}, year = {2006}, volume = {30}, pages = {231--242}, number = {4}, note = {Medical Imaging and Graphics in SIBGRAPI/SIACG}, doi = {10.1016/j.compmedimag.2006.05.004} } @INPROCEEDINGS{Lewi04b, author = {Lewiner,T. and Velho,L. and Lopes, H. and Mello, V.}, title = {Simplicial isosurface compression}, booktitle = {Vision, Modeling, and Visualization}, year = {2004}, pages = {299--306}, address = {Stanford, CA}, month = {November} } @ARTICLE{Lick99, author = {Lickorish, W.B.R.}, title = {Simplicial moves on complexes and manifolds}, journal = {Geometry and Topology Monographs}, year = {1999}, volume = {2}, pages = {314}, number = {299-320} } @INPROCEEDINGS{Lind10, author = {Lindstrom, P. and Cohen, J. D.}, title = {On-the-fly decompression and rendering of multiresolution terrain}, booktitle = {Proceedings of ACM Symposium on Interactive 3D Graphics and Games}, year = {2010}, series = {I3D '10}, pages = {65--73}, address = {New York, NY, USA}, publisher = {ACM}, doi = {http://doi.acm.org/10.1145/1730804.1730815} } @INPROCEEDINGS{Lind96, author = {Lindstrom, P. and Koller, D. and Ribarsky, W. and Hodges, L. F. and Faust, N. and Turner, G. A.}, title = {Real-time Continuous Level of Detail Rendering of Height Fields}, booktitle = {Proceedings ACM SIGGRAPH}, year = {1996}, series = {SIGGRAPH '96}, pages = {109--118}, month = {August}, doi = {10.1145/237170.237217}, location = {New Orleans, LA} } @ARTICLE{Lind02, author = {Lindstrom, P. and Pascucci, V.}, title = {Terrain Simplification Simplified: {A} General Framework for View-Dependent Out-of-core Visualization}, journal = {IEEE Transactions on Visualization and Computer Graphics}, year = {2002}, volume = {8}, pages = {239--254}, number = {3}, doi = {10.1109/TVCG.2002.1021577}, publisher = {IEEE Computer Society} } @INCOLLECTION{Lins04b, author = {Linsen, L. and Gray, J. and Pascucci, V. and Duchaineau, M. A. and Hamann, B. and Joy, K.I.}, title = {Hierarchical Large-scale Volume Representation with $\sqrt[3]{2}$ Subdivision and Trivariate B-spline Wavelets}, booktitle = {Geometric Modeling for Scientific Visualization}, publisher = {Springer Verlag}, year = {2004}, editor = {Brunnett, G. and Hamann, B. and Mueller, H. and Linsen, L.}, series = {Mathematics + Visualization}, pages = {359--378}, address = { Heidelberg, Germany} } @ARTICLE{Lins07, author = {Linsen, L. and Hamann, B. and Joy, KI}, title = {Wavelets for Adaptively refined "3rd-root-of-2" Subdivision Meshes}, journal = {International Journal of Computers \& Applications}, year = {2007}, volume = {29}, pages = {223--231}, number = {3}, publisher = {Acta Press} } @ARTICLE{Lins04, author = {Linsen, L. and Pascucci, V. and Duchaineau, MA and Hamann, B. and Joy, KI}, title = {Wavelet-based multiresolution with $\sqrt[n]{2}$ Subdivision}, journal = {Journal on Computing, Special Edition: Dagstuhl Seminar on Geometric Modelling}, year = {2004}, volume = {72}, pages = {129--142} } @ARTICLE{Liu95, author = {Liu, A. and Joe, B.}, title = {Quality local refinement of tetrahedral meshes based on bisection}, journal = {SIAM Journal on Scientific Computing}, year = {1995}, volume = {16}, pages = {1269--1291}, number = {6}, doi = {http://dx.doi.org/10.1137/0916074} } @INPROCEEDINGS{Loss04, author = {Losasso, F. and Hoppe, H.}, title = {Geometry clipmaps: {T}errain rendering using nested regular grids}, booktitle = {Proceedings ACM SIGGRAPH}, year = {2004}, pages = {769--776}, organization = {ACM New York, NY, USA} } @BOOK{Lueb02, title = {Level of Detail for 3D Graphics}, publisher = {Morgan-Kaufmann}, year = {2002}, author = {Luebke, D. and Reddy, M. and Cohen, J. and Varshney, A. and Watson , B. and Huebner, R.}, series = {Computer Graphics and Geometric Modeling}, address = {San Francisco}, isbn = {1-55860-838-9} } @PHDTHESIS{Magi99, author = {Magillo, P.}, title = {Spatial Operations on Multiresolution Cell Complexes}, school = {Dept. of Computer and Information Sciences, University of Genova (Italy)}, year = {1999} } @ARTICLE{Mara76, author = {Mara, P.S.}, title = {Triangulations for the cube}, journal = {Journal of Combinatorial Theory, Ser. A}, year = {1976}, volume = {20}, pages = {170--177}, number = {2} } @INPROCEEDINGS{Marc04, author = {Marchesin, S. and Dischler, J.M. and Mongenet, C.}, title = {{3D ROAM} for Scalable Volume Visualization}, booktitle = {IEEE Symposium on Volume Visualization and Graphics}, year = {2004}, series = {VV '04}, pages = {79--86}, month = {Oct. 11--12}, publisher = {IEEE}, doi = {http://doi.ieeecomputersociety.org/10.1109/SVVG.2004.1}, location = {Austin, TX} } @ARTICLE{Maub05, author = {Maubach, J.M.}, title = {Space-filling curves for 2-simplicial meshes created with bisections and reflections}, journal = {Applications of Mathematics}, year = {2005}, volume = {50}, pages = {309--321}, number = {3}, publisher = {Springer} } @INPROCEEDINGS{Maub96, author = {Maubach, J. M.}, title = {The efficient location of neighbors for locally refined n-simplicial grids}, booktitle = {Proceedings International Meshing Roundable}, year = {1996}, number = {5}, series = {IMR '96}, pages = {137--156}, month = {Oct.}, publisher = {Sandia National Laboratories}, location = {Pittsburgh, PA}, url = {http://www.imr.sandia.gov/papers/abstracts/Ma32.html} } @ARTICLE{Maub95, author = {J. M. Maubach}, title = {Local Bisection Refinement for $N$-simplicial Grids Generated by Reflection}, journal = {{SIAM} Journal on Scientific Computing}, year = {1995}, volume = {16}, pages = {210--227}, number = {1}, month = {January} } @ARTICLE{Mell10, author = {Mello, V. and Velho, L.}, title = {Simplicial diffeomorphisms}, journal = {Computer Aided Geometric Design}, year = {2010}, volume = {27}, pages = {734--745}, number = {9}, doi = {10.1016/j.cagd.2010.08.002} } @INPROCEEDINGS{Mell03, author = {Mello, V. and Velho, L. and Taubin, G.}, title = {Estimating the in/out function of a surface represented by points}, booktitle = {Symposium on Solid Modeling and Applications}, year = {2003}, series = {SMA '03}, pages = {108--114}, doi = {10.1145/781606.781625}, location = {Seattle, WA} } @ARTICLE{Mese48, author = {Meserve, B.E.}, title = {Double factorials}, journal = {The American Mathematical Monthly}, year = {1948}, volume = {55}, pages = {425--426}, number = {7}, publisher = {Mathematical Association of America} } @ARTICLE{Mitc91, author = {Mitchell, W.F.}, title = {Adaptive refinement for arbitrary finite-element spaces with hierarchical bases}, journal = {Journal of computational and applied mathematics}, year = {1991}, volume = {36}, pages = {65--78}, number = {1}, doi = {10.1016/0377-0427(91)90226-A}, publisher = {Elsevier} } @ARTICLE{Moor95b, author = {Moore, D. and Warren, J.}, title = {Adaptive simplicial mesh quadtrees}, journal = {Houston J. Math}, year = {1995}, volume = {21}, pages = {525--540}, number = {3} } @ARTICLE{Newm31, author = {Newman, M.H.A.}, title = {A theorem in combinatorial topology}, journal = {J. London Math. Soc}, year = {1931}, volume = {s1--6}, pages = {186--192}, number = {3}, doi = {10.1112/jlms/s1-6.3.186} } @INPROCEEDINGS{Niel97b, author = {Nielson, G.M. and Sung, J.}, title = {Interval Volume Tetrahedralization}, booktitle = {Proceedings IEEE Visualization}, year = {1997}, series = {VIS '97}, pages = {221--228}, doi = {10.1109/VISUAL.1997.663886}, location = {Phoenix, AZ} } @INCOLLECTION{Noch09, author = {Nochetto, R.H. and Siebert, K.G. and Veeser, A.}, title = {Theory of adaptive finite element methods: An introduction}, booktitle = {Multiscale, Nonlinear and Adaptive Approximation}, publisher = {Springer}, year = {2009}, editor = {DeVore, R. and Kunoth, A.}, pages = {409--542}, address = {Berlin Heidelberg}, note = {Dedicated to Wolfgang Dahmen on the Occasion of his 60th Birthday}, doi = {10.1007/978-3-642-03413-8_12}, isbn = {978-3-642-03413-8} } @ARTICLE{Ohlb99, author = {M. Ohlberger and M. Rumpf}, title = {Adaptive Projection Operators in Multi-resolution Scientific Visualization}, journal = {IEEE Transactions on Visualization and Computer Graphics}, year = {1999}, volume = {5}, pages = {74--93}, number = {1} } @ARTICLE{Ohlb97, author = {M. Ohlberger and M. Rumpf}, title = {Hierarchical and Adaptive Visualization on Nested Grids}, journal = {Computing}, year = {1997}, volume = {56}, pages = {365--385}, number = {4} } @INPROCEEDINGS{Paja98, author = {Pajarola, R.}, title = {Large Scale Terrain Visualization Using the Restricted Quadtree Triangulation}, booktitle = {Proceedings IEEE Visualization}, year = {1998}, editor = {Ebert, D. and Hagen, H. and Rushmeier, H.}, series = {VIS '98}, pages = {19--26}, address = {Research Triangle Park, NC}, month = {Oct.}, publisher = {IEEE Computer Society}, doi = {10.1109/VISUAL.1998.745280} } @INPROCEEDINGS{Paja02b, author = {Pajarola, R. and Antonijuan, M. and Lario, R.}, title = {{QuadTIN}: Quadtree based triangulated irregular networks}, booktitle = {Proceedings IEEE Visualization}, year = {2002}, pages = {395--402}, organization = {IEEE Computer Society}, doi = {10.1109/VISUAL.2002.1183800}, location = {Boston, MA} } @TECHREPORT{Paja05, author = {Pajarola, Renato and Gerstner, Thomas}, title = {Topology Control in Multiresolution Isosurface Extraction}, institution = {Department of Computer Science,University of California Irvine}, year = {2005}, number = {UCI-ICS-05-01} } @ARTICLE{Paja07, author = {Pajarola, R. and Gobbetti, E.}, title = {Survey of semi-regular multiresolution models for interactive terrain rendering}, journal = {The Visual Computer}, year = {2007}, volume = {23}, pages = {583--605}, number = {8}, publisher = {Springer} } @ARTICLE{Paja04, author = {Pajarola, R. and Sainz, M. and Meng, Y.}, title = {{DMesh}: Fast depth-image meshing and warping}, journal = {International Journal of Image and Graphics}, year = {2004}, volume = {4}, pages = {653--681}, number = {4}, doi = {10.1142/S0219467804001580} } @INPROCEEDINGS{Pasc04b, author = {Pascucci, V.}, title = {Isosurface Computation Made Simple: Hardware Acceleration, Adaptive Refinement and Tetrahedral Stripping}, booktitle = {Eurographics/IEEE TVCG Symposium on Visualization (VisSym)}, year = {2004}, editor = {Deussen, O. and Hansen, C.D. and Keim, D.A. and Saupe, D.}, series = {VisSym '04}, pages = {293--300}, month = {May}, publisher = {Eurographics Association}, location = {Konstanz, Germany} } @ARTICLE{Pasc02, author = {Pascucci, V.}, title = {{S}low {G}rowing {S}ubdivision ({SGS}) in any dimension: {T}owards removing the curse of dimensionality}, journal = {Computer Graphics Forum}, year = {2002}, volume = {21}, pages = {451--460}, number = {3}, month = {September}, doi = {10.1111/1467-8659.t01-1-00605}, organization = {Blackwell Publishing, Inc} } @PHDTHESIS{Pasc00b, author = {Pascucci, V.}, title = {Multi-dimensional and multi-resolution geometric data-structures for scientific visualization}, school = {Purdue University}, year = {2000}, address = {West Lafayette, IN, USA}, note = {Major Professor-Bajaj, Chandrajit L.}, isbn = {0-493-28975-5}, order_no = {AAI3017852} } @INPROCEEDINGS{Pasc00, author = {V. Pascucci and C. L. Bajaj}, title = {Time-Critical Isosurface Refinement and Smoothing}, booktitle = {Proceedings IEEE Symposium on Volume Visualization}, year = {2000}, series = {VolViz '00}, pages = {33--42}, month = {Oct.}, publisher = {IEEE Computer Society}, doi = {10.1145/353888.353894}, location = {Salt Lake City, UT} } @INPROCEEDINGS{Pasc01b, author = {Pascucci, V. and Frank, R. J.}, title = {Global Static Indexing for Real-Time Exploration of Very Large Regular Grids}, booktitle = {Proceedings ACM/IEEE Supercomputing}, year = {2001}, series = {SC '01}, pages = {45--45}, doi = {10.1145/582034.582036}, location = {Denver, CO} } @ARTICLE{Payn90, author = {Payne, B.A. and Toga, A.W.}, title = {Surface mapping brain function on {3D} models}, journal = {Computer Graphics and Applications, IEEE}, year = {1990}, volume = {10}, pages = {33--41}, number = {5}, month = {Sept.}, doi = {10.1109/38.59034} } @ARTICLE{Plaz00, author = {Plaza, A. and Carey, GF}, title = {Local refinement of simplicial grids based on the skeleton}, journal = {Applied Numerical Mathematics}, year = {2000}, volume = {32}, pages = {195--218}, number = {2}, publisher = {Amsterdam [Netherlands]: North-Holland, c1985-} } @MASTERSTHESIS{Pome00, author = {Pomeranz, A.A.}, title = {{ROAM} using surface triangle clusters ({RUSTiC})}, school = {U.C. Davis}, year = {2000} } @ARTICLE{Pupp98, author = {Puppo, E.}, title = {Variable Resolution Triangulations}, journal = {Computational Geometry Theory and Applications}, year = {1998}, volume = {11}, pages = {219--238}, number = {3-4} } @ARTICLE{Pupp09, author = {Puppo, E. and Panozzo, D.}, title = {{RGB} Subdivision}, journal = {IEEE Transactions on Visualization and Computer Graphics}, year = {2009}, volume = {15}, pages = {295-310}, number = {2}, address = {Los Alamitos, CA, USA}, doi = {http://doi.ieeecomputersociety.org/10.1109/TVCG.2008.87}, issn = {1077-2626}, publisher = {IEEE Computer Society} } @ARTICLE{Riva91, author = {Rivara, M.C.}, title = {Local Modification of Meshes for Adaptive and/or MultiGrid Finite-Element Methods}, journal = {Journal of Computational and Applied Mathematics}, year = {1991}, volume = {36}, pages = {79--89}, number = {1}, doi = {10.1016/0377-0427(91)90227-B} } @ARTICLE{Riva84, author = {Rivara, M.C.}, title = {Algorithms for refining triangular grids suitable for adaptive and multigrid techniques}, journal = {International Journal for Numerical Methods in Engineering}, year = {1984}, volume = {20}, pages = {745--756}, number = {4} } @INPROCEEDINGS{Roxb00, author = {Roxborough, T. and Nielson, G.}, title = {Tetrahedron-based, Least-squares, Progressive Volume Models with Application to Freehand Ultrasound Data}, booktitle = {Proceedings IEEE Visualization}, year = {2000}, series = {VIS '00}, pages = {93--100}, month = {Oct.}, publisher = {IEEE Computer Society}, doi = {10.1109/VISUAL.2000.885681}, location = {Salt Lake City, UT} } @INPROCEEDINGS{Rott98, author = {R{\"{o}}ttger, S. and Heidrich, W. and Slusallek, P. and Seidel, H.P.}, title = {Real-time generation of continuous levels of detail for height fields}, booktitle = {Proceedings Central Europe Winter School of Computer Graphics (WSCG)}, year = {1998}, series = {WSCG '98}, pages = {315--322}, month = {Feb.}, location = {Plzen-Bory, Czech Republic} } @BOOK{Same06, title = {Foundations of Multidimensional and Metric Data Structures}, publisher = {Morgan Kaufmann}, year = {2006}, author = {Samet, H.}, pages = {1024}, series = {The Morgan Kaufmann series in computer graphics and geometric modeling}, isbn = {978-0-12-369446-1} } @ARTICLE{Schr92a, author = {Schrack, G.}, title = {Finding neighbors of equal size in linear quadtrees and octrees in constant time}, journal = {{CVGIP}: Image Understanding}, year = {1992}, volume = {55}, pages = {221--230}, number = {3}, month = {May}, doi = {10.1016/1049-9660(92)90022-U} } @INCOLLECTION{Sewe79, author = {Sewell, E.G.}, title = {A finite element program with automatic user-controlled mesh grading}, booktitle = {Advances in Computer Methods for Partial Differential Equations III}, publisher = {IMACS}, year = {1979}, editor = {Vichnevetsky, R. and Stepleman, R.S.}, pages = {8--10}, month = {June}, location = {Bethlehem, PA} } @PHDTHESIS{Sewe72, author = {Sewell, E.G.}, title = {Automatic generation of triangulations for piecewise polynomial approximation}, school = {Purdue University}, year = {1972} } @INPROCEEDINGS{Siva92, author = {Sivan, R. and Samet, H.}, title = {Algorithms for constructing quadtree surface maps}, booktitle = {Proc. Symposium on Spatial Data Handling}, year = {1992}, pages = {361--370}, location = {Charleston, S.C.} } @ARTICLE{Stev08, author = {Stevenson, R.}, title = {The completion of locally refined simplicial partitions created by bisection}, journal = {Mathematics of Computation}, year = {2008}, volume = {77}, pages = {227--242}, number = {261}, doi = {10.1090/S0025-5718-07-01959-X} } @INPROCEEDINGS{Taka04b, author = {Takahashi, S. and Takeshima, Y. and Nielson, GM and Fujishiro, I.}, title = {Topological volume skeletonization using adaptive tetrahedralization}, booktitle = {Proceedings Geometric Modeling and Processing}, year = {2004}, series = {GMP '04}, pages = {227--236}, doi = {10.1109/GMAP.2004.1290044}, location = {Beijing, China} } @ARTICLE{Tana95, author = {Tanaka, H.T.}, title = {Accuracy-Based Sampling and Reconstruction with Adaptive Meshes for Parallel Hierarchical Triangulation}, journal = {Computer Vision and Image Understanding}, year = {1995}, volume = {61}, pages = {335 - 350}, number = {3}, doi = {10.1006/cviu.1995.1027}, issn = {1077-3142} } @INPROCEEDINGS{Tana03, author = {Tanaka, H. and Takama, Y. and Wakabayashi, H.}, title = {Accuracy-based sampling and reconstruction with adaptive grid for parallel hierarchical tetrahedrization}, booktitle = {Proceedings Volume Graphics}, year = {2003}, pages = {79--86}, publisher = {ACM Press}, doi = {10.1145/827051.827063}, location = {Tokyo, Japan} } @BOOK{Todd76, title = {The computation of fixed points and applications}, publisher = {Springer-Verlag}, year = {1976}, author = {Todd, M.J.}, number = {124}, pages = {129}, series = {Lecture Notes in Economics and Mathematical Systems} } @ARTICLE{Trax97, author = {Traxler, C. T.}, title = {An algorithm for adaptive mesh refinement in $n$ dimensions}, journal = {Computing}, year = {1997}, volume = {59}, pages = {115--137}, number = {2}, doi = {10.1007/BF02684475} } @INPROCEEDINGS{Tuck45, author = {Tucker, A.W.}, title = {Some topological properties of disk and sphere}, booktitle = {Proceedings First Canadian Math. Congress, Montreal}, year = {1945}, volume = {285--309} } @ARTICLE{Velh01b, author = {Velho, L.}, title = {Using semi-regular 4-8 meshes for subdivision surfaces}, journal = {Journal of Graphics Tools}, year = {2001}, volume = {5}, pages = {35--47}, number = {3}, publisher = {AK Peters, Ltd. Natick, MA, USA} } @ARTICLE{Velh00, author = {Velho, L. and Gomes, J.}, title = {Variable Resolution 4-k Meshes: concepts and Applications}, journal = {Computer Graphics Forum}, year = {2000}, volume = {19}, pages = {195--212}, number = {4}, doi = {10.1111/1467-8659.00457} } @ARTICLE{Velh01, author = {Velho, L. and Zorin, D.}, title = {4--8 Subdivision}, journal = {Computer Aided Geometric Design}, year = {2001}, volume = {18}, pages = {397--427}, number = {5}, doi = {10.1016/S0167-8396(01)00039-5}, publisher = {Elsevier Science} } @PHDTHESIS{Herz89, author = {Von Herzen, B.}, title = {Applications of surface networks to sampling problems in computer graphics}, school = {California Institute of Technology}, year = {1989}, address = {Pasadena, CA, USA}, number = {UMI order no: GAX89-01789} } @INPROCEEDINGS{Herz87, author = {Von Herzen, B. and Barr, A. H.}, title = {Accurate triangulations of deformed, intersecting surfaces}, booktitle = {Proceedings ACM SIGGRAPH}, year = {1987}, pages = {103--110}, address = {New York, NY, USA}, publisher = {ACM}, doi = {http://doi.acm.org/10.1145/37401.37415}, isbn = {0-89791-227-6} } @ARTICLE{Webe07, author = {Weber, G.H. and Bremer, P.T. and Pascucci, V.}, title = {Topological landscapes: {A} terrain metaphor for scientific data}, journal = {IEEE Transactions on Visualization and Computer Graphics}, year = {2007}, volume = {13}, pages = {1416--1423}, number = {6} } @INPROCEEDINGS{Weig98, author = {Weigle, C. and Banks, D.}, title = {Extracting iso-valued features in 4-dimensional scalar fields}, booktitle = {Proceedings IEEE Visualization}, year = {1998}, series = {VolVis '98}, pages = {103--110}, month = {Oct.}, publisher = {IEEE Computer Society}, doi = {10.1109/SVV.1998.729591}, location = {Research Triangle Park, N.C.} } @INPROCEEDINGS{Weig96, author = {Weigle, C. and Banks, D.}, title = {Complex-valued Contour Meshing}, booktitle = {Proceedings IEEE Visualization}, year = {1996}, series = {VIS '96}, pages = {173--180}, month = {Oct.}, publisher = {IEEE Computer Society}, doi = {10.1109/VISUAL.1996.568103}, location = {San Francisco, CA} } @INPROCEEDINGS{Weis10d, author = {Weiss, K. and {De Floriani}, L.}, title = {Bisection-Based Triangulations of Nested Hypercubic Meshes}, booktitle = {Proceedings 19th International Meshing Roundtable}, year = {2010}, editor = {Shontz, S.}, series = {IMR '10}, pages = {315--333}, month = {October 3--6}, doi = {10.1007/978-3-642-15414-0_19}, location = {Chattanooga, TN} } @ARTICLE{Weis10a, author = {Weiss, K. and {De Floriani}, L.}, title = {Isodiamond Hierarchies: An Efficient Multiresolution Representation for Isosurfaces and Interval Volumes}, journal = {IEEE Transactions on Visualization and Computer Graphics}, year = {2010}, volume = {16}, pages = {583 -- 598}, number = {4}, month = {July-Aug.}, address = {Los Alamitos, CA, USA}, doi = {http://doi.ieeecomputersociety.org/10.1109/TVCG.2010.29}, issn = {1077-2626}, publisher = {IEEE Computer Society} } @INPROCEEDINGS{Weis10e, author = {Weiss, K. and {De Floriani}, L.}, title = {Nested Refinement Domains for Tetrahedral and Diamond Hierarchies}, booktitle = {IEEE Visualization 2010 Poster Compendium}, year = {2010}, location = {Salt Lake City, UT} } @ARTICLE{Weis09, author = {Weiss, K. and {De Floriani}, L.}, title = {Diamond Hierarchies of Arbitrary Dimension}, journal = {Computer Graphics Forum (Proceedings SGP 2009)}, year = {2009}, volume = {28}, pages = {1289--1300}, number = {5}, doi = {10.1111/j.1467-8659.2009.01506.x}, publisher = {Eurographics Association} } @ARTICLE{Weis09b, author = {Weiss, K. and {De Floriani}, L.}, title = {Supercubes: A High-Level Primitive for Diamond Hierarchies}, journal = {IEEE Transactions on Visualization and Computer Graphics (Proceedings IEEE Visualization 2009)}, year = {2009}, volume = {15}, pages = {1603--1610}, number = {6}, month = {November-December}, doi = {http://doi.ieeecomputersociety.org/10.1109/TVCG.2009.186} } @INPROCEEDINGS{Weis08a, author = {Weiss, K. and {De Floriani}, L.}, title = {Multiresolution Interval Volume Meshes}, booktitle = {IEEE/ EG Symposium on Volume and Point-Based Graphics}, year = {2008}, pages = {65--72}, publisher = {Eurographics Association}, doi = {10.2312/VG/VG-PBG08/065-072}, location = {Los Angelos, CA} } @INPROCEEDINGS{Weis08b, author = {Weiss, K. and {De Floriani}, L.}, title = {Sparse Terrain Pyramids}, booktitle = {Proceedings ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems}, year = {2008}, pages = {115-124}, address = {New York, NY, USA}, publisher = {ACM}, doi = {http://doi.acm.org/10.1145/1463434.1463454}, location = {Irvine, CA} } @INCOLLECTION{Weis08c, author = {Weiss, K. and {De Floriani}, L.}, title = {Modeling and Visualization Approaches for Time-Varying Volumetric Data}, booktitle = {Advances in Visual Computing}, publisher = {Springer}, year = {2008}, volume = {5359}, series = {Lecture Notes in Computer Science}, pages = {1000--1010}, doi = {10.1007/978-3-540-89646-3_100}, isbn = {978-3-540-89645-6}, location = {Las Vegas, NV} } @BOOK{Whit57, title = {Geometric integration theory}, publisher = {Princeton University Press}, year = {1957}, author = {Whitney, H.} } @ARTICLE{Wil92, author = {Wilhelms, J. and Van Gelder, A.}, title = {Octrees for faster isosurface generation}, journal = {ACM Transactions on Graphics}, year = {1992}, volume = {11}, pages = {201--227}, number = {3}, address = {New York, NY, USA}, doi = {http://doi.acm.org/10.1145/130881.130882}, issn = {0730-0301}, publisher = {ACM Press} } @ARTICLE{Zhan95, author = {S. Zhang}, title = {Successive Subdivision of Tetrahedra and Multigrid Methods on Tetrahedral Meshes}, journal = {Houston Journal of Mathematics}, year = {1995}, volume = {21}, pages = {541--556} } @INPROCEEDINGS{Zhou97, author = {Zhou, Y. and Chen, B. and Kaufman, A.}, title = {Multiresolution Tetrahedral Framework for Visualizing Regular Volume Data}, booktitle = {Proceedings IEEE Visualization}, year = {1997}, editor = {Yagel, R. and Hagen, H.}, series = {VIS '97}, pages = {135--142}, month = {Oct.}, publisher = {IEEE Computer Society}, doi = {10.1109/VISUAL.1997.663869}, location = {Phoenix, AZ} } @ARTICLE{Zong05, author = {Zong, C.}, title = {What is known about unit cubes}, journal = {Bulletin of the American Mathematical Society}, year = {2005}, volume = {42}, pages = {181--211}, number = {2}, doi = {10.1090/S0273-0979-05-01050-5} }