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pro vyhledávání: '"Levine, Joshua A"'
Topological abstractions offer a method to summarize the behavior of vector fields but computing them robustly can be challenging due to numerical precision issues. One alternative is to represent the vector field using a discrete approach, which con
Externí odkaz:
http://arxiv.org/abs/2408.04769
This paper presents a practical approach for the optimization of topological simplification, a central pre-processing step for the analysis and visualization of scalar data. Given an input scalar field f and a set of "signal" persistence pairs to mai
Externí odkaz:
http://arxiv.org/abs/2407.12399
Distances on merge trees facilitate visual comparison of collections of scalar fields. Two desirable properties for these distances to exhibit are 1) the ability to discern between scalar fields which other, less complex topological summaries cannot
Externí odkaz:
http://arxiv.org/abs/2210.08644
Though analyzing a single scalar field using Morse complexes is well studied, there are few techniques for visualizing a collection of Morse complexes. We focus on analyses that are enabled by looking at a Morse complex as an embedded domain decompos
Externí odkaz:
http://arxiv.org/abs/2210.07245
The Reeb graph has been utilized in various applications including the analysis of scalar fields. Recently, research has been focused on using topological signatures such as the Reeb graph to compare multiple scalar fields by defining distance metric
Externí odkaz:
http://arxiv.org/abs/2110.05631
Autor:
Zhao, Zhenge, Motta, Danilo, Berger, Matthew, Levine, Joshua A., Kuzucu, Ismail B., Fleischman, Robert B., Paiva, Afonso, Scheidegger, Carlos
Civil engineers use numerical simulations of a building's responses to seismic forces to understand the nature of building failures, the limitations of building codes, and how to determine the latter to prevent the former. Such simulations generate l
Externí odkaz:
http://arxiv.org/abs/2109.00197
Robustly handling collisions between individual particles in a large particle-based simulation has been a challenging problem. We introduce particle merging-and-splitting, a simple scheme for robustly handling collisions between particles that preven
Externí odkaz:
http://arxiv.org/abs/2107.08093
Publikováno v:
In JSES International May 2024 8(3):407-422
Autor:
Crum, Justin, Cheng, Cyrus, Ham, David A., Mitchell, Lawrence, Kirby, Robert C., Levine, Joshua A., Gillette, Andrew
Publikováno v:
ACM Transactions on Mathematical Software 48(1):8:1-8:19 (2022)
We present an implementation of the trimmed serendipity finite element family, using the open source finite element package Firedrake. The new elements can be used seamlessly within the software suite for problems requiring $H^1$, \hcurl, or \hdiv-co
Externí odkaz:
http://arxiv.org/abs/2104.12986
We present an approach for compressing volumetric scalar fields using implicit neural representations. Our approach represents a scalar field as a learned function, wherein a neural network maps a point in the domain to an output scalar value. By set
Externí odkaz:
http://arxiv.org/abs/2104.04523