@article{5681,
  abstract     = {We introduce dynamically warping grids for adaptive liquid simulation. Our primary contributions are a strategy for dynamically deforming regular grids over the course of a simulation and a method for efficiently utilizing these deforming grids for liquid simulation. Prior work has shown that unstructured grids are very effective for adaptive fluid simulations. However, unstructured grids often lead to complicated implementations and a poor cache hit rate due to inconsistent memory access. Regular grids, on the other hand, provide a fast, fixed memory access pattern and straightforward implementation. Our method combines the advantages of both: we leverage the simplicity of regular grids while still achieving practical and controllable spatial adaptivity. We demonstrate that our method enables adaptive simulations that are fast, flexible, and robust to null-space issues. At the same time, our method is simple to implement and takes advantage of existing highly-tuned algorithms.},
  author       = {Hikaru, Ibayashi and Wojtan, Christopher J and Thuerey, Nils and Igarashi, Takeo and Ando, Ryoichi},
  issn         = {1941-0506},
  journal      = {IEEE Transactions on Visualization and Computer Graphics},
  number       = {6},
  pages        = {2288--2302},
  publisher    = {IEEE},
  title        = {{Simulating liquids on dynamically warping grids}},
  doi          = {10.1109/TVCG.2018.2883628},
  volume       = {26},
  year         = {2020},
}

@article{18420,
  abstract     = {The experience of motion sickness in a virtual environment may be measured through pre and postexperiment self-reported questionnaires such as the simulator sickness questionnaire (SSQ). Although research provides converging evidence that users of virtual environments can experience motion sickness, there have been no controlled studies to determine to what extent the user's subjective response is a demand characteristic resulting from pre and posttest measures. In this study, subjects were given either SSQ's both pre and postvirtual environment immersion, or only postimmersion. This technique tested for contrast effects due to demand characteristics in which administration of the questionnaire itself suggested to the participant that the virtual environment may produce motion sickness. Results indicate that reports of motion sickness after immersion in a virtual environment are much greater when both pre and postquestionnaires are given than when only a posttest questionnaire is used. The implications for assessments of motion sickness in virtual environments are discussed},
  author       = {Bronstein, Alexander and Bronstein, Michael M. and Kimmel, Ron},
  issn         = {1941-0506},
  journal      = {IEEE Transactions on Visualization and Computer Graphics},
  number       = {5},
  pages        = {902--913},
  publisher    = {IEEE},
  title        = {{Calculus of nonrigid surfaces for geometry and texture manipulation}},
  doi          = {10.1109/tvcg.2007.1041},
  volume       = {13},
  year         = {2007},
}

@article{3984,
  abstract     = {We combine topological and geometric methods to construct a multiresolution representation for a function over a two-dimensional domain. In a preprocessing stage, we create the Morse-Smale complex of the function and progressively simplify its topology by cancelling pairs of critical points. Based on a simple notion of dependency among these cancellations, we construct a hierarchical data structure supporting traversal and reconstruction operations similarly to traditional geometry-based representations. We use this data structure to extract topologically valid approximations that satisfy error bounds provided at runtime.},
  author       = {Bremer, Peer and Edelsbrunner, Herbert and Hamann, Bernd and Pascucci, Valerio},
  issn         = {1941-0506},
  journal      = {IEEE Transactions on Visualization and Computer Graphics},
  number       = {4},
  pages        = {385 -- 396},
  publisher    = {IEEE},
  title        = {{A topological hierarchy for functions on triangulated surfaces}},
  doi          = {10.1109/TVCG.2004.3},
  volume       = {10},
  year         = {2004},
}