--- res: bibo_abstract: - "The current state of the art in real-time two-dimensional water wave simulation requires developers to choose between efficient Fourier-based methods, which lack interactions with moving obstacles, and finite-difference or finite element methods, which handle environmental interactions but are significantly more expensive. This paper attempts to bridge this long-standing gap between complexity and performance, by proposing a new wave simulation method that can faithfully simulate wave interactions with moving obstacles in real time while simultaneously preserving minute details and accommodating very large simulation domains.\r\n\r\nPrevious methods for simulating 2D water waves directly compute the change in height of the water surface, a strategy which imposes limitations based on the CFL condition (fast moving waves require small time steps) and Nyquist's limit (small wave details require closely-spaced simulation variables). This paper proposes a novel wavelet transformation that discretizes the liquid motion in terms of amplitude-like functions that vary over space, frequency, and direction, effectively generalizing Fourier-based methods to handle local interactions. Because these new variables change much more slowly over space than the original water height function, our change of variables drastically reduces the limitations of the CFL condition and Nyquist limit, allowing us to simulate highly detailed water waves at very large visual resolutions. Our discretization is amenable to fast summation and easy to parallelize. We also present basic extensions like pre-computed wave paths and two-way solid fluid coupling. Finally, we argue that our discretization provides a convenient set of variables for artistic manipulation, which we illustrate with a novel wave-painting interface.@eng" bibo_authorlist: - foaf_Person: foaf_givenName: Stefan foaf_name: Jeschke, Stefan foaf_surname: Jeschke foaf_workInfoHomepage: http://www.librecat.org/personId=44D6411A-F248-11E8-B48F-1D18A9856A87 - foaf_Person: foaf_givenName: Tomas foaf_name: Skrivan, Tomas foaf_surname: Skrivan foaf_workInfoHomepage: http://www.librecat.org/personId=486A5A46-F248-11E8-B48F-1D18A9856A87 - foaf_Person: foaf_givenName: Matthias foaf_name: Mueller Fischer, Matthias foaf_surname: Mueller Fischer - foaf_Person: foaf_givenName: Nuttapong foaf_name: Chentanez, Nuttapong foaf_surname: Chentanez - foaf_Person: foaf_givenName: Miles foaf_name: Macklin, Miles foaf_surname: Macklin - foaf_Person: foaf_givenName: Christopher J foaf_name: Wojtan, Christopher J foaf_surname: Wojtan foaf_workInfoHomepage: http://www.librecat.org/personId=3C61F1D2-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0001-6646-5546 bibo_doi: 10.1145/3197517.3201336 bibo_issue: '4' bibo_volume: 37 dct_date: 2018^xs_gYear dct_identifier: - UT:000448185000055 dct_language: eng dct_publisher: ACM@ dct_title: Water surface wavelets@ ...