منابع مشابه
Visualizing local vector field topology
The visualization of vector fields has attracted much attention over the last decade due to the vast variety of applications in science and engineering. Topological methods have been used intensively for 1 global structure extraction and analysis. Recently, there has been a growing interest in local structure analysis due to its connection to automatic feature extraction and speed. We present a...
متن کاملVisualizing Nonlinear Vector Field Topology
We present our results on the visualization of non-linear vector field topology. The underlying mathematics is done in Clifford algebra, a system describing geometry by extending the usual vector space by a multiplication of vectors. We started with the observation that all known algorithms for vector field topology are based on piecewise linear or bilinear approximation and that these methods ...
متن کاملVisualizing Lagrangian Coherent Structures and Comparison to Vector Field Topology
This paper takes a look at the visualization side of vector field analysis based on Lagrangian coherent structures. The Lagrangian coherent structures are extracted as height ridges of finite-time Lyapunov exponent fields. The resulting visualizations are compared to those from traditional instantaneous vector field topology of steady and unsteady vector fields. The examination is applied to th...
متن کاملLocalizing vector field topology
Abstract The topology of vector fields offers a well known way to show a “condensed” view of the stream line behavior of a vector field. The global structure of a field can be shown without time-consuming user interaction. With regard to large data visualization, one encounters a major drawback: the necessity to analyze a whole data set, even when interested in only a small region. We show that...
متن کاملVisualizing Forman’s discrete vector field
Morse theory has been considered to be a powerful tool in its applications to computational topology, computer graphics and geometric modeling. Forman introduced a discrete version of it, which is purely combinatorial. This opens Morse theory applications to a much larger scope. The main objective of this work is to illustrate Forman’s theory. We intend to use some of Forman’s concepts to visua...
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ژورنال
عنوان ژورنال: Journal of Electronic Imaging
سال: 2000
ISSN: 1017-9909
DOI: 10.1117/1.1289350