%  References for:
%    Discrete Distortion for 3D Data Analysis
%    Leila De Floriani, Federico Iuricich, Paola Magillo, Mostefa Mesmoudi and Kenneth Weiss.
%    Accepted to Visualization in Medicine and Life Sciences (VMLS) 

@ARTICLE{DeFloriani11_vmls,
  author = {De~Floriani, L. and Iuricich, F. and Magillo, P. and Mesmoudi, M.M. and Weiss, K.},
  title = {Discrete Distortion for {3D} Data Analysis},
  journal = {Visualization in Medicine and Life Sciences (VMLS)},
  year = {2009}
}

%% References

@BOOK{Alek57,
  title = {Topologia Combinatoria},
  publisher = {Torino},
  year = {1957},
  author = {Aleksandrov, P.S.}
}

@ARTICLE{Ande05,
  author = {M. T. Anderson},
  title = {G\'eom\'etrisation des {V}ari\'et\'es de {D}imension 3 via le {F}lot de {R}icci},
  journal = {Soci\'et\'e Math\'ematique de France, Gazette,},
  year = {2005},
  volume = {103},
  pages = {25-40}
}

@ARTICLE{Ansa91,
  author = {Ansari, N. and Delp, E. J.},
  title = {On detecting dominant points},
  journal = {Pattern Recognition},
  year = {1991},
  volume = {24},
  pages = {441-451},
  number = {5}
}

@ARTICLE{Beil97,
  author = {Beil, W. and Rohr, K. and Stiehl, H. S.},
  title = {Investigation of Approaches for the Localization of Anatomical Landmarks in 3D Medical Images},
  journal = {Computer Assisted Radiology and Surgery, CARS, Berlin, Germany},
  year = {1997},
  pages = {265--270}
}

@ARTICLE{Bey95,
  author = {J. Bey},
  title = {Tetrahedral Mesh Refinement},
  journal = {Computing},
  year = {1995},
  volume = {55},
  pages = {355--378}
}

@ARTICLE{Bias08,
  author = {Biasotti, S. and De Floriani, L. and Falcidieno, B. and Frosini, P. and Giorgi, D. and Landi, C. and Papaleo, L. and Spagnuolo, M.},
  title = {Describing shapes by geometrical-topological properties of real functions},
  journal = {ACM Comput. Surv.},
  year = {2008},
  volume = {4},
  number = {40}
}

@INPROCEEDINGS{Comi08a,
  author = {Comic, L. and De Floriani, L.},
  title = {Cancellation of Critical Points in 2D and 3D Morse and Morse-Smale Complexes},
  booktitle = {14th IAPR International Conference on Discrete Geometry for Computer Imagery},
  year = {2008},
  volume = {4992},
  series = {Lecture Notes in Computer Science},
  pages = {117-128},
  address = {Lyon, France},
  month = {16-18 April}
}

@INPROCEEDINGS{DeFl02b,
  author = {{De Floriani}, L. and Magillo, P.},
  title = {Multiresolution mesh representation: models and data structures},
  booktitle = {Principles of Multi-resolution Geometric Modeling},
  year = {2002},
  editor = {Floater, M. and Iske, A. and Quak, E.},
  series = {Lecture Notes in Mathematics},
  pages = {364--418},
  address = {Berlin},
  publisher = {Springer Verlag}
}

@INPROCEEDINGS{Dyn00,
  author = {Dyn, N. and Hormann, K. and Sun-Jeong, K. and Levin, D.},
  title = {Optimizing 3D Triangulations Using Discrete Curvature Analysis},
  booktitle = {Mathematical Methods for Curves and Surfaces: Oslo 2000},
  year = {2000},
  editor = {Lyche, T. and Schumaker, L.},
  pages = {135--146}
}

@INPROCEEDINGS{Edel03,
  author = {H. Edelsbrunner and J. Harer and V. Natarajan and V. Pascucci},
  title = {{M}orse-{S}male Complexes for Piecewise Linear 3-Manifolds},
  booktitle = {Proceedings 19th ACM Symposium on Computational Geometry},
  year = {2003},
  pages = {361--370}
}

@ARTICLE{Fate03,
  author = {Fatemizadeh, E. and Lucas, C. and Soltanian-Zadeh, H.},
  title = {Automatic Landmark Extraction From Image Data Using Modified Growing Neural Gas Network},
  journal = {IEEE Transactions on Information Technology in Biomedicine},
  year = {2003},
  volume = {7},
  pages = {77-85},
  number = {2}
}

@ARTICLE{Gatz06,
  author = {T.D. Gatzke and C.M. Grimm},
  title = {Estimating Curvature on Triangular Meshes},
  journal = {International Journal on shape Modeling},
  year = {2006},
  volume = {12},
  pages = {1-29}
}

@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}
}

@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},
  pages = {475--484}
}

@ARTICLE{Gyul08b,
  author = {Gyulassy, A. and Bremer, P.T. and Hamann, B. and Pascucci, V.},
  title = {A practical approach to Morse-Smale complex computation: Scalability and generality},
  journal = {IEEE Transactions on Visualization and Computer Graphics},
  year = {2008},
  volume = {14},
  pages = {1619--1626},
  number = {6},
  doi = {10.1109/TVCG.2008.110},
  publisher = {Published by the IEEE Computer Society}
}

@INPROCEEDINGS{Gyul05,
  author = {A. Gyulassy and V. Natarajan and V. Pascucci and P.-T. Bremer and B. Hamann},
  title = {Topology-based Simplification for Feature Extraction from 3D Scalar Fields},
  booktitle = {Proceedings, IEEE Visualization 2005},
  year = {2005},
  pages = {275--280},
  month = {October}
}

@ARTICLE{Gyul07,
  author = {A. Gyulassy and V. Natarajan and V. Pascucci and B. Hamann},
  title = {Efficient Computation of {M}orse-{S}male Complexes for Three-dimensional Scalar Functions},
  journal = {IEEE Trans. Vis. Comput. Graph. (IEEE Visualization 2007)},
  year = {2007},
  volume = {6},
  pages = {1440-1447},
  number = {13}
}

@BOOK{Hahm09,
  title = {Shape Interrogation},
  publisher = {L.~De~Floriani, M.~Spagnuolo (Eds.), Shape Analysis and Structuring
	(Mathematics+Visualization)},
  year = {2009},
  author = {S.~Hahmann and A.~Belayev and L.~Bus\'e and G.~Elber and B.~Mourrain and C.~R\"{o}ssl},
  pages = {1-51}
}

@ARTICLE{Hart02,
  author = {Hartkens, T. and Rohr, K. and Stiehl,H.S.},
  title = {Evaluation of 3D Operatorsfor the Detection of Anatomical Point Landmarks in MR and CT Images},
  journal = {ComputerVision and Image Understanding},
  year = {2002},
  volume = {86},
  pages = {118-136},
  number = {2}
}

@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}
}

@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}
}

@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{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}
}

@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},
  pages = {108--114}
}

@INPROCEEDINGS{Mesm08b,
  author = {Mesmoudi, M. M. and De Floriani, L. and Magillo, P.},
  title = {Morphological Analysis of Terrains Based on Discrete Curvature and Distortion},
  booktitle = {Proceedings of International Conference on Advances in Geographic Information Systems (ACMGIS 2008), Irvine, California, USA},
  year = {2008}
}

@ARTICLE{Mesm08a,
  author = {Mesmoudi, M. M. and De Floriani, L. and Port, U.},
  title = {Discrete Distortion in Triangulated 3-Manifolds},
  journal = {Computer Graphics Forum (Proceedings SGP 2008)},
  year = {2008},
  volume = {27},
  pages = {1333--1340},
  number = {5},
  doi = {10.1111/j.1467-8659.2008.01272.x}
}

@BOOK{Miln63,
  title = {{M}orse Theory},
  publisher = {Princeton University Press},
  year = {1963},
  author = {J. Milnor}
}

@ARTICLE{Nata06,
  author = {Natarajan, V. and Wang, Y. and Bremer, P.T. and Pascucci, V. and Hamann, B.},
  title = {Segmenting molecular surfaces},
  journal = {Computer Aided Geometric Design},
  year = {2006},
  volume = {23},
  pages = {495--509},
  number = {6},
  doi = {10.1016/j.cagd.2006.02.003},
  publisher = {Elsevier}
}

@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}
}

@ARTICLE{Pasc02,
  author = {Pascucci, V.},
  title = {{Slow Growing Subdivisions (SGS)} in any dimension: towards removing the curse of dimensionality},
  journal = {Computer Graphics Forum},
  year = {2002},
  volume = {21},
  pages = {451--460},
  number = {3},
  organization = {Blackwell Publishing, Inc}
}

@ARTICLE{Pei92,
  author = {Pei, S. C. and Lin, C.N.},
  title = {The detection of dominant points on digital curves byscale-space filtering},
  journal = {Pattern Recognition},
  year = {1992},
  volume = {25},
  pages = {1307-1314},
  number = {11}
}

@ARTICLE{Regg61,
  author = {T. Regge},
  title = {General Relativity without Coordinates},
  journal = {Nuovo Cimento},
  year = {1961},
  volume = {19},
  pages = {558-571},
  number = {3}
}

@ARTICLE{Reut06,
  author = {Reuter, M. and Wolter, F-E and Peinecke, N. },
  title = {{L}aplace-{B}eltrami spectra as ``{S}hape-{DNA}'' of surfaces and solids},
  journal = {Computer-Aided Design},
  year = {2006},
  volume = {38},
  pages = {342-366}
}

@ARTICLE{Riva92,
  author = {Rivara, M.C. and Levin, C.},
  title = {A {3D} Refinement Algorithm Suitable for Adaptive and Multigrid Techniques},
  journal = {Communications in Applied Numerical Methods},
  year = {1992},
  volume = {8},
  pages = {281--290},
  number = {5},
  doi = {10.1002/cnm.1630080502}
}

@ARTICLE{Roer00,
  author = {J. Roerdink and A. Meijster},
  title = {The Watershed Transform{:} Definitions, Algorithms, and Parallelization Strategies},
  journal = {Fundamenta Informaticae},
  year = {2000},
  volume = {41},
  pages = {187-228},
  keywords = {Watershed}
}

@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}
}

@INPROCEEDINGS{Sham06,
  author = {A. Shamir},
  title = {Segmentation and Shape Extraction of 3D Boundary Meshes},
  booktitle = {EG 2006 - State of the Art Reports},
  year = {2006},
  address = {Vienna}
}

@INPROCEEDINGS{Sura03,
  author = {T. Surazhsky and E. Magid and O. Soldea and G. Elber and E. Rivlin},
  title = {A comparison of Gaussian and Mean Curvatures Estimation Methods on Triangular Meshes},
  booktitle = {Proceedings of Conference on Robotics and Automation, Proceedings. ICRA '03. IEEE International},
  year = {2003},
  volume = {1},
  pages = {739-743}
}

@ARTICLE{Teh89,
  author = {Teh, C.H. and Chin, R. T.},
  title = {On the Detection of Dominant Points on Digital Curves},
  journal = {IEEE Transactions on Pattern Analysis and Machine Intelligence},
  year = {1989},
  volume = {11},
  pages = {859-872},
  number = {8}
}

@ARTICLE{Troy86,
  author = {M. Troyanov},
  title = {Les Surfaces {E}uclidiennes \`a Singularit\'es Coniques},
  journal = {L'enseignement Math\'ematique},
  year = {1986},
  volume = {32},
  pages = {79-94}
}

@ARTICLE{Vinc91,
  author = {L. Vincent and P. Soille},
  title = {Watershed in Digital Spaces: an Efficient Algorithm Based on Immersion Simulation},
  journal = {IEEE Transactions on Pattern Analysis and Machine Intelligence},
  year = {1991},
  volume = {13},
  pages = {583--598},
  number = {6}
}

@INPROCEEDINGS{Weis10b,
  author = {Weiss, K. and {De Floriani}, L.},
  title = {Simplex and Diamond Hierarchies: Models and Applications},
  booktitle = {EG 2010 - State of the Art Reports},
  year = {2010},
  editor = {Hauser, H. and Reinhard, E.},
  pages = {113--136},
  address = {Norrk\"{o}ping, Sweden},
  publisher = {Eurographics Association},
  url = {http://www.eg.org/EG/DL/conf/EG2010/stars/113-136.pdf}
}

@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}
}

@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},
  doi = {http://doi.ieeecomputersociety.org/10.1109/TVCG.2009.186}
}

@INPROCEEDINGS{Weis10c,
  author = {Weiss, K. and Mesmoudi, M.M. and De~Floriani, L.},
  title = {Multiresolution Analysis of {3D} Images Based on Discrete Distortion},
  booktitle = {International Conference on Pattern Recognition (ICPR)},
  year = {2010},
  pages = {4093--4096},
  address = {Istanbul, Turkey},
  doi = {10.1109/ICPR.2010.995}
}

@INPROCEEDINGS{Zhou97,
  author = {Zhou, Y. and Chen, B. and Kaufman, A.},
  title = {Multi-resolution Tetrahedral Framework for Visualizing Regular Volume Data},
  booktitle = {Proceedings IEEE Visualization},
  year = {1997},
  editor = {R. Yagel and H. Hagen},
  pages = {135--142}
}