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pro vyhledávání: '"POTTER, SAMUEL"'
Over the last two decades, several fast, robust, and high-order accurate methods have been developed for solving the Poisson equation in complicated geometry using potential theory. In this approach, rather than discretizing the partial differential
Externí odkaz:
http://arxiv.org/abs/2409.11998
Autor:
Hasan, Masum, Ozel, Cengiz, Long, Nina, Martin, Alexander, Potter, Samuel, Adnan, Tariq, Lee, Sangwu, Zadeh, Amir, Hoque, Ehsan
We propose a new large synthetic hand pose estimation dataset, Hi5, and a novel inexpensive method for collecting high-quality synthetic data that requires no human annotation or validation. Leveraging recent advancements in computer graphics, high-f
Externí odkaz:
http://arxiv.org/abs/2406.03599
We present an algorithm for compressing the radiosity view factor model commonly used in radiation heat transfer and computer graphics. We use a format inspired by the hierarchical off-diagonal low rank format, where elements are recursively partitio
Externí odkaz:
http://arxiv.org/abs/2209.07632
We present algorithms for solving high-frequency acoustic scattering problems in complex domains. The eikonal and transport partial differential equations from the WKB/geometric optic approximation of the Helmholtz equation are solved recursively to
Externí odkaz:
http://arxiv.org/abs/2208.13002
Autor:
Potter, Samuel F., Cameron, Maria K.
We develop a family of compact high-order semi-Lagrangian label-setting methods for solving the eikonal equation. These solvers march the total 1-jet of the eikonal, and use Hermite interpolation to approximate the eikonal and parametrize characteris
Externí odkaz:
http://arxiv.org/abs/2009.05490
Publikováno v:
In Journal of Computational Physics: X November 2023 17
Publikováno v:
In Journal of Computational Physics 1 August 2023 486
Autor:
Potter, Samuel F., Cameron, Maria K.
We present a family of fast and accurate Dijkstra-like solvers for the eikonal equation and factored eikonal equation which compute solutions on a regular grid by solving local variational minimization problems. Our methods converge linearly but comp
Externí odkaz:
http://arxiv.org/abs/1902.06825
Akademický článek
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Nongradient SDEs with small white noise often arise when modeling biological and ecological time-irreversible processes. If the governing SDE were gradient, the maximum likelihood transition paths, transition rates, expected exit times, and the invar
Externí odkaz:
http://arxiv.org/abs/1808.00562