@article{guo2021ftk,
  title={{FTK}: A simplicial spacetime meshing framework for robust and scalable feature tracking},
  author={Guo, Hanqi and Lenz, David and Xu, Jiayi and Liang, Xin and He, Wenbin and Grindeanu, Iulian R and Shen, Han-Wei and Peterka, Tom and Munson, Todd and Foster, Ian},
  journal={IEEE Trans. Vis. Comput. Graph.},
  volume={27},
  number={8},
  pages={3463--3480},
  year={2021},
  publisher={IEEE}
}



@article{von2021four,
  title={Four-dimensional elastically deformed simplex space-time meshes for domains with time-variant topology},
  author={von Danwitz, Max and Antony, Patrick and Key, Fabian and Hosters, Norbert and Behr, Marek},
  journal={International Journal for Numerical Methods in Fluids},
  volume={93},
  number={12},
  pages={3490--3506},
  year={2021}
}

@article{liao2013efficient,
  title={Efficient feature tracking of time-varying surfaces using multi-scale motion flow propagation},
  author={Liao, Bin and Xiao, Chunxia and Pang, Zhiqiang},
  journal={Computer-Aided Design},
  volume={45},
  number={11},
  pages={1394--1407},
  year={2013},
  publisher={Elsevier}
}

@inproceedings{kircher2005progressive,
  title={Progressive multiresolution meshes for deforming surfaces},
  author={Kircher, Scott and Garland, Michael},
  booktitle={Proceedings of the 2005 ACM SIGGRAPH/Eurographics Symposium on Computer Animation},
  pages={191--200},
  year={2005}
}

@article{date2008triangular,
  title={Triangular mesh deformation based on dimensions},
  author={Date, Hiroaki and Onosato, Masahiko},
  journal={Computer-Aided Design and Applications},
  volume={5},
  number={1-4},
  pages={287--295},
  year={2008},
  publisher={Taylor \& Francis}
}

@inproceedings{caroli2009computing,
  title={Computing {3D} periodic triangulations},
  author={Caroli, Manuel and Teillaud, Monique},
  booktitle={Algorithms-ESA 2009: 17th Annual European Symposium, Copenhagen, Denmark, September 7-9, 2009. Proceedings 17},
  pages={59--70},
  year={2009}
}

@article{zhang2017dynamic,
  title={Dynamic load balancing based on constrained {K-D} tree decomposition for parallel particle tracing},
  author={Zhang, Jiang and Guo, Hanqi and Hong, Fan and Yuan, Xiaoru and Peterka, Tom},
  journal={IEEE Transactions on Visualization and Computer Graphics},
  volume={24},
  number={1},
  pages={954--963},
  year={2017},
  publisher={IEEE}
}

@book{de2010triangulations,
  title={Triangulations: Structures for Algorithms and Applications},
  author={De Loera, Jes{\'u}s and Rambau, J{\"o}rg and Santos, Francisco},
  volume={25},
  year={2010},
  publisher={Springer Science \& Business Media}
}

@book{rudin,
  title = {Principles of Mathematical Analysis (International Series in Pure and Applied Mathematics)},
  author = {Walter Rudin},
  year = {1976}, 
  publisher = {McGraw Hill}
}

@inproceedings{abedi2004spacetime,
  title={Spacetime meshing with adaptive refinement and coarsening},
  author={Abedi, Reza and Chung, Shuo-Heng and Erickson, Jeff and Fan, Yong and Garland, Michael and Guoy, Damrong and Haber, Robert and Sullivan, John M and Thite, Shripad and Zhou, Yuan},
  booktitle={Proceedings of the twentieth annual symposium on Computational Geometry},
  pages={300--309},
  year={2004}
}

@article{chang2008spontaneous,
  title={Spontaneous rotation sources in a quiescent tokamak edge plasma},
  author={Chang, Choong-Seock and Ku, Susan},
  journal={Physics of Plasmas},
  volume={15},
  number={6},
  pages={062510},
  year={2008},
  publisher={American Institute of Physics}
}

@article{erickson2005building,
  title={Building spacetime meshes over arbitrary spatial domains},
  author={Erickson, Jeff and Guoy, Damrong and Sullivan, John M and {\"U}ng{\"o}r, Alper},
  journal={Engineering with Computers},
  volume={20},
  pages={342--353},
  year={2005},
  publisher={Springer}
}

@article{thite2009adaptive,
  title={Adaptive spacetime meshing for discontinuous {Galerkin} methods},
  author={Thite, Shripad},
  journal={Computational Geometry},
  volume={42},
  number={1},
  pages={20--44},
  year={2009},
  publisher={Elsevier}
}

@article{chazelle1990triangulating,
  title={Triangulating a nonconvex polytope},
  author={Chazelle, Bernard and Palios, Leonidas},
  journal={Discrete \& Computational Geometry},
  volume={5},
  number={1},
  pages={505--526},
  year={1990},
  publisher={Springer New York}
}

@incollection{lee2017subdivisions,
  title={Subdivisions and triangulations of polytopes},
  author={Lee, Carl W and Santos, Francisco},
  booktitle={Handbook of Discrete and Computational Geometry},
  pages={415--447},
  year={2017},
  publisher={Chapman and Hall/CRC}
}

@inproceedings{si2019simple,
  title={A Simple Algorithm to Triangulate a Special Class of {3D} Non-convex Polyhedra Without {Steiner} Points},
  author={Si, Hang},
  booktitle={Numerical Geometry, Grid Generation and Scientific Computing},
  pages={61--71},
  year={2019}
}

@article{woodring2011situ,
  title={In-situ Sampling of a Large-Scale Particle Simulation for Interactive Visualization and Analysis},
  author={Woodring, Jonathan and Ahrens, James and Figg, J and Wendelberger, Joanne and Habib, Salman and Heitmann, Katrin},
  journal={Comput. Graph. Forum},
  volume={30},
  number={3},
  pages={1151--1160},
  year={2011}
}

@inproceedings{takle2012case,
  title={A case study: Tracking and visualizing the evolution of dark matter halos and groups of satellite halos in cosmology simulations},
  author={Takle, Jay and Silver, Deborah and Heitmann, Katrin},
  booktitle={Proc. 2012 IEEE Conference on Visual Analytics Science and Technology (VAST)},
  pages={243--244},
  year={2012}
}

@article{woodring2015situ,
  title={In situ eddy analysis in a high-resolution ocean climate model},
  author={Woodring, Jonathan and Petersen, Mark and Schmei{\ss}er, Andre and Patchett, John and Ahrens, James and Hagen, Hans},
  journal={IEEE Transactions on Visualization and Computer Graphics},
  volume={22},
  number={1},
  pages={857--866},
  year={2015},
  publisher={IEEE}
}

@article{hollt2014ovis,
  title={Ovis: A framework for visual analysisof ocean forecast ensembles},
  author={H{\"o}llt, Thomas and Magdy, Ahmed and Zhan, Peng and Chen, Guoning and Gopalakrishnan, Ganesh and Hoteit, Ibrahim and Hansen, Charles D and Hadwiger, Markus},
  journal={IEEE Transactions on Visualization and Computer Graphics},
  volume={20},
  number={8},
  pages={1114--1126},
  year={2014},
  publisher={IEEE}
}

@article{koehler2011vortex,
  title={Vortex visualization in ultra low {Reynolds} number insect flight},
  author={Koehler, Christopher and Wischgoll, Thomas and Dong, Haibo and Gaston, Zachary},
  journal={IEEE Trans. Vis. Comput. Graph.},
  volume={17},
  number={12},
  pages={2071--2079},
  year={2011},
  publisher={IEEE}
}

@article{dutta2016situ,
  title={In situ distribution guided analysis and visualization of transonic jet engine simulations},
  author={Dutta, Soumya and Chen, Chun-Ming and Heinlein, Gregory and Shen, Han-Wei and Chen, Jen-Ping},
  journal={IEEE Trans. Vis. Comput. Graph.},
  volume={23},
  number={1},
  pages={811--820},
  year={2016},
  publisher={IEEE}
}

@phdthesis{yano2012optimization,
  title={An optimization framework for adaptive higher-order discretizations of partial differential equations on anisotropic simplex meshes},
  author={Yano, Masayuki and others},
  year={2012},
  school={Massachusetts Institute of Technology}
}

@inproceedings{diosady2018linear,
  title={A linear-elasticity solver for higher-order space-time mesh deformation},
  author={Diosady, Laslo T and Murman, Scott M},
  booktitle={2018 AIAA Aerospace Sciences Meeting},
  pages={0919},
  year={2018}
}

@article{lowrie1998space,
  title={Space-time methods for hyperbolic conservation laws},
  author={Lowrie, Robert B and Roe, Philip L and Van Leer, Bram},
  journal={ICASE LARC INTERDISCIPLINARY SERIES IN SCIENCE AND ENGINEERING},
  volume={6},
  pages={79--98},
  year={1998},
  publisher={Kluwer}
}

@inproceedings{ishii2019solving,
  title={Solving {PDEs} in space-time: {4D} tree-based adaptivity, mesh-free and matrix-free approaches},
  author={Ishii, Masado and Fernando, Milinda and Saurabh, Kumar and Khara, Biswajit and Ganapathysubramanian, Baskar and Sundar, Hari},
  booktitle={Proc.\ SC '19: International Conference for High Performance Computing, Networking, Storage, and Analysis},
  pages={61:1--61:22},
  year={2019}
}

@inproceedings{ungor2000tent,
  title={{Tent-Pitcher:} A Meshing Algorithm for Space-Time Discontinuous {Galerkin} Methods},
  author={{\"U}ng{\"o}r, Alper and Sheffer, Alla},
  booktitle={IMR},
  pages={111--122},
  year={2000}
}

@article{tricoche2002topology,
  title={Topology tracking for the visualization of time-dependent two-dimensional flows},
  author={Tricoche, Xavier and Wischgoll, Thomas and Scheuermann, Gerik and Hagen, Hans},
  journal={Computers \& Graphics},
  volume={26},
  number={2},
  pages={249--257},
  year={2002},
  publisher={Elsevier}
}

@inproceedings{garth2004tracking,
  title={Tracking of vector field singularities in unstructured {3D} time-dependent datasets},
  author={Garth, Christoph and Tricoche, Xavier and Scheuermann, Gerik},
  booktitle={Proc. IEEE Visualization '04},
  pages={329--336},
  year={2004}
}

@article{guo2015extracting,
  title={Extracting, tracking, and visualizing magnetic flux vortices in {3D} complex-valued superconductor simulation data},
  author={Guo, Hanqi and Phillips, Carolyn L and Peterka, Tom and Karpeyev, Dmitry and Glatz, Andreas},
  journal={IEEE Trans. Vis. Comput. Graph.},
  volume={22},
  number={1},
  pages={827--836},
  year={2015},
  publisher={IEEE}
}

@inproceedings{guo2017situ,
  title={In situ magnetic flux vortex visualization in time-dependent {Ginzburg-Landau} superconductor simulations},
  author={Guo, Hanqi and Peterka, Tom and Glatz, Andreas},
  booktitle={Proc. 2017 IEEE Pacific Visualization Symposium},
  year={2017},
  pages={71--80}
}

@article{phillips2015detecting,
  title={Detecting vortices in superconductors: Extracting one-dimensional topological singularities from a discretized complex scalar field},
  author={Phillips, Carolyn L and Peterka, Tom and Karpeyev, Dmitry and Glatz, Andreas},
  journal={Physical Review E},
  volume={91},
  number={2},
  pages={023311},
  year={2015},
  publisher={APS}
}

@article{phillips2016tracking,
  title={Tracking vortices in superconductors: Extracting singularities from a discretized complex scalar field evolving in time},
  author={Phillips, Carolyn L and Guo, Hanqi and Peterka, Tom and Karpeyev, Dmitry and Glatz, Andreas},
  journal={Physical Review E},
  volume={93},
  number={2},
  pages={023305},
  year={2016},
  publisher={APS}
}

@article{below2004complexity,
  title={The complexity of finding small triangulations of convex 3-polytopes},
  author={Below, Alexander and De Loera, Jes{\'u}s A and Richter-Gebert, J{\"u}rgen},
  journal={Journal of Algorithms},
  volume={50},
  number={2},
  pages={134--167},
  year={2004},
  publisher={Elsevier}
}

@article{zhang2016mesh,
  title={Mesh generation for confined fusion plasma simulation},
  author={Zhang, Fan and Hager, Robert and Ku, Seung-Hoe and Chang, Choong-Seock and Jardin, Stephen C and Ferraro, Nathaniel M and Seol, E Seegyoung and Yoon, Eisung and Shephard, Mark S},
  journal={Engineering with Computers},
  volume={32},
  pages={285--293},
  year={2016},
  publisher={Springer}
}

@article{post2003state,
  journal = {Comput. Graph. Forum},
  title = {The state of the art in flow visualisation: Feature extraction and tracking},
  author = {Post, Frits H and Vrolijk, Benjamin and Hauser, Helwig and Laramee, Robert S and Doleisch, Helmut},
  volume={22},
  number={4},
  pages={775--792},
  year={2003}
}

@article{yan2023multilevel,
  title={Multilevel Robustness for {2D} Vector Field Feature Tracking, Selection and Comparison},
  author={Yan, Lin and Ullrich, Paul Aaron and Van Roekel, Luke P and Wang, Bei and Guo, Hanqi},
  journal={Comput. Graph. Forum},
  year={2023 (In Preprint)}
}

@article{laney2006understanding,
  title={Understanding the structure of the turbulent mixing layer in hydrodynamic instabilities},
  author={Laney, Daniel and Mascarenhas, A and Miller, P and Pascucci, V and others},
  journal={IEEE Trans. Vis. Comput. Graph.},
  volume={12},
  number={5},
  pages={1053--1060},
  year={2006},
  publisher={IEEE}
}

@inproceedings{tu2019propagate,
  title={Propagate and pair: A single-pass approach to critical point pairing in reeb graphs},
  author={Tu, Junyi and Hajij, Mustafa and Rosen, Paul},
  booktitle={Proc. 14th International Symposium on Visual Computing},
  pages={99--113},
  year={2019}
}

@inproceedings{theisel2003feature,
  title={Feature flow fields},
  author={Theisel, Holger and Seidel, H-P},
  booktitle={Proc.\ EuroGraphics/IEEE VGTC Symposium on Visualization '03},
  pages={141--148},
  year={2003}
}

@article{weinkauf2010stable,
  title={Stable feature flow fields},
  author={Weinkauf, Tino and Theisel, Holger and Van Gelder, Allen and Pang, Alex},
  journal={IEEE Trans. Vis. and Comput. Graph.},
  volume={17},
  number={6},
  pages={770--780},
  year={2010}
}

@article{reininghaus2011efficient,
  title={Efficient computation of combinatorial feature flow fields},
  author={Reininghaus, Jan and Kasten, Jens and Weinkauf, Tino and Hotz, Ingrid},
  journal={IEEE Trans. Vis. Comput. Graph.},
  volume={18},
  number={9},
  pages={1563--1573},
  year={2011},
  publisher={IEEE}
}

@inproceedings{liang2020toward,
  title={Toward Feature-Preserving {2D} and {3D} Vector Field Compression.},
  author={Liang, Xin and Guo, Hanqi and Di, Sheng and Cappello, Franck and Raj, Mukund and Liu, Chunhui and Ono, Kenji and Chen, Zizhong and Peterka, Tom},
  booktitle={Proc. 2020 IEEE Pacific Visualization Symposium},
  pages={81--90},
  year={2020}
}

@article{carr2003computing,
  title={Computing contour trees in all dimensions},
  author={Carr, Hamish and Snoeyink, Jack and Axen, Ulrike},
  journal={Computational Geometry},
  volume={24},
  number={2},
  pages={75--94},
  year={2003},
  publisher={Elsevier}
}

@book{white2017theory,
  title={Theory of tokamak plasmas},
  author={White, Roscoe B},
  year={2017},
  publisher={Elsevier}
}

@inproceedings{friederici2018lagrangian,
  title={A {Lagrangian} method for extracting eddy boundaries in the {Red} {Sea} and the {Gulf} of {Aden}},
  author={Friederici, Anke and Kele, Habib Toye Mahamadou and Hoteit, Ibrahim and Weinkauf, Tino and Theisel, Holger and Hadwiger, Markus},
  booktitle={Proc. 2018 IEEE Scientific Visualization Conference},
  pages={52--56},
  year={2018}
}

@article{van2018lagrangian,
  title={Lagrangian ocean analysis: Fundamentals and practices},
  author={Van Sebille, Erik and Griffies, Stephen M and Abernathey, Ryan and Adams, Thomas P and Berloff, Pavel and Biastoch, Arne and Blanke, Bruno and Chassignet, Eric P and Cheng, Yu and Cotter, Colin J and others},
  journal={Ocean Modelling},
  volume={121},
  pages={49--75},
  year={2018},
  publisher={Elsevier}
}

@book{dirac1996general,
  title={General Theory of Relativity},
  author={Dirac, Paul Adrien Maurice},
  year={1996},
  publisher={Princeton University Press}
}

@article{altenbach2016inelastic,
  title={Inelastic deformation of conductive bodies in electromagnetic fields},
  author={Altenbach, Holm and Morachkovsky, Oleg and Naumenko, Konstantin and Lavinsky, Denis},
  journal={Continuum Mechanics and Thermodynamics},
  volume={28},
  pages={1421--1433},
  year={2016},
  publisher={Springer}
}

@article{sarton2023state,
  journal = {Computer Graphics Forum},
  title = {State-of-the-art in Large-Scale Volume Visualization Beyond Structured Data},
  author = {Sarton, Jonathan and Zellmann, Stefan and Demirci, Serkan and Güdükbay, Ugur and Alexandre-Barff, Welcome and Lucas, Laurent and Dischler, Jean-Michel and Wesner, Stefan and Wald, Ingo},
  year = {2023},
  publisher = {The Eurographics Association and John Wiley & Sons Ltd.}
}

@book{sommerville2020introduction,
  title={Introduction to the Geometry of {N} Dimensions},
  author={Sommerville, Duncan MY},
  year={2020},
  publisher={Courier Dover Publications}
}

@article{BhaniramkaWC04,
  author    = {Praveen Bhaniramka and Rephael Wenger and Roger Crawfis},
  title     = {Isosurface Construction in Any Dimension Using Convex Hulls},
  journal   = {IEEE Trans. Vis. Comput. Graph.},
  volume    = {10},
  number    = {2},
  pages     = {130--141},
  year      = {2004}
}


@article{DoiK91,
  title = {An Efficient Method of Triangulating Equi-Valued Surfaces by Using Tetrahedral Cells},
  author = {Akio Doi and Akio Koide},
  journal = {{IEICE} Transactions on Information and Systems},
  volume = {E74-D},
  number = {1},
  pages = {214--224},
  year = {1991}
}

@inproceedings{LorensenC87,
  author    = {William E. Lorensen and
               Harvey E. Cline},
  title     = {Marching cubes: {A} high resolution {3D} surface construction algorithm},
  booktitle = {Proc.\ SIGGRAPH '87},
  pages     = {163--169},
  year      = {1987}
}

@article{moritaka2021improving,
  title={Improving Gyrokinetic Field Solvers toward Whole-Volume Modeling of Stellarators},
  author={Moritaka, Toseo and Cole, Michael and Hager, Robert and Ku, Seung-Hoe and Chang, CS and Ishiguro, Seiji},
  journal={Plasma and Fusion Research},
  volume={16},
  pages={2403054--2403054},
  year={2021},
  publisher={The Japan Society of Plasma Science and Nuclear Fusion Research}
}

@article{buschmann2022dark,
  title={Dark matter from axion strings with adaptive mesh refinement},
  author={Buschmann, Malte and Foster, Joshua W and Hook, Anson and Peterson, Adam and Willcox, Don E and Zhang, Weiqun and Safdi, Benjamin R},
  journal={Nature Communications},
  volume={13},
  number={1},
  pages={1049},
  year={2022},
  publisher={Nature Publishing Group UK London}
}

@inproceedings{agustsson2020scale,
  title={Scale-space flow for end-to-end optimized video compression},
  author={Agustsson, Eirikur and Minnen, David and Johnston, Nick and Balle, Johannes and Hwang, Sung Jin and Toderici, George},
  booktitle={Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  pages={8503--8512},
  year={2020}
}

@inproceedings{wilde2020flow,
  title={Flow Map Processing by Space-Time Deformation},
  author={Wilde, Thomas and R{\"o}ssl, Christian and Theisel, Holger},
  booktitle={Proc. 15th International Symposium on Visual Computing},
  pages={236--247},
  year={2020}
}

@article{gunther2020visibility,
  title={Visibility, topology, and inertia: New methods in flow visualization},
  author={G{\"u}nther, Tobias},
  journal={IEEE Comput. Graph. Appl.},
  volume={40},
  number={2},
  pages={103--111},
  year={2020},
  publisher={IEEE}
}