Index Catalog // ScholarsArchive@OSU

Creator:: Palacios, Jonathan, Yeh, Harry Hsiu-jen, Wang, Wenping, Laramee, Robert S., Vincent, Paul, and Zhang, Eugene
Abstract:: Three-dimensional symmetric tensor fields have a wide range of applications in solid and fluid mechanics. Recent advances in the topological analysis of 3D symmetric tensor fields focus on the local behaviors of tensor fields at degenerate points, which usually form curves. In this paper, we make a number of observations...
Resource Type:: Technical Report

Creator:: Edmunds, Matt, Laramee, Robert S., Chen, Guoning, Max, Nelson, Zhang, Eugene, and Ware, Colin
Abstract:: With increasing computing power, it is possible to process more complex fluid simulations. However, a gap between increasing data size and our ability to visualize them still remains. Despite the great amount of progress that has been made in the field of flow visualization over the last two decades, a...
Resource Type:: Article

Creator:: Oregon State University. Dept. of Computer Science, Chen, Guoning, Mischaikow, Konstantin Michael, Laramee, Robert S., and Zhang, Eugene
Abstract:: Existing topology-based vector field analysis techniques rely on the ability to extract the individual trajectories such as fixed points, periodic orbits and separatrices which are sensitive to noise and errors introduced by simulation and interpolation. This can make such vector field analysis unsuitable for rigorous interpretations. We advocate the use...
Resource Type:: Research Paper

Creator:: Oregon State University. Department of Computer Science, Zhang, Eugene, Yeh, Harry Hsiu Jen, Lin, Zhongzang, and Laramee, Robert S.
Abstract:: The gradient of a velocity vector field is an asymmetric tensor field which can provide critical insight into the vector field that is difficult to infer from traditional trajectory-based vector field visualization techniques. We describe the structures in the eigenvalue and eigenvector fields of the gradient tensor and how these...
Resource Type:: Research Paper

Creator:: Oregon State University. Department of Computer Science, Zhang, Eugene, Yeh, Harry Hsiu Jen, Lin, Zhongzang, and Laramee, Robert S.
Abstract:: Most existing flow visualization techniques focus on the analysis and visualization of the vector field that describes the flow. In this paper, we employ a rather different approach by performing tensor field analysis and visualization on the gradient of the vector field, which can provide additional and complementary information to...
Resource Type:: Research Paper

Creator:: Oregon State University. Dept. of Computer Science, Chen, Guoning, Mischaikow, Konstantin Michael, Laramee, Robert S., and Zhang, Eugene
Abstract:: Vector field analysis plays a crucial role in many engineering applications, such as weather prediction, tsunami and hurricane study, and airplane and automotive design. Existing vector field analysis techniques focus on individual trajectories such as fixed points, periodic orbits and separatrices which are sensitive to noise and errors introduced by...
Resource Type:: Research Paper

Creator:: Oregon State University. Department of Computer Science, Zhang, Eugene, Lin, Zhongzang, Yeh, Harry Hsiu-jen, and Laramee, Robert S.
Abstract:: Visualizing asymmetric tensors is an important task in understanding fluid dynamics. In this paper, we describe topological analysis and visualization techniques for asymmetric tensor fields on surfaces based on analyzing the impact of the symmetric and antisymmetric components of the tensor field on its eigenvalues and eigenvectors. At the core...
Resource Type:: Research Paper

Creator:: Chen, Guoning, Mischaikow, Konstantin Michael, Laramee, Robert S., Pilarczyk, Pawel, Zhang, Eugene, and Oregon State University. School of Electrical Engineering and Computer Science
Abstract:: Design and control of vector fields is critical for many visualization and graphics tasks such as vector field visualization, fluid simulation, and texture synthesis. The fundamental qualitative structures associated with vector fields are fixed points, periodic orbits, and separatrices. In this paper we provide a new technique that allows for...
Resource Type:: Technical Report

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