Imaging vector fields using line integral convolution
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Visualization of higher order singularities in vector fields
VIS '97 Proceedings of the 8th conference on Visualization '97
Detection and Visualization of Closed Streamlines in Planar Flows
IEEE Transactions on Visualization and Computer Graphics
Visualizing Vector Field Topology in Fluid Flows
IEEE Computer Graphics and Applications
Vorticity Based Flow Analysis and Visualization for Pelton Turbine Design Optimization
VIS '04 Proceedings of the conference on Visualization '04
Visualization Tools for Vorticity Transport Analysis in Incompressible Flow
IEEE Transactions on Visualization and Computer Graphics
Animation of Orthogonal Texture Patterns for Vector Field Visualization
IEEE Transactions on Visualization and Computer Graphics
ACM SIGGRAPH Asia 2008 papers
A Practical Approach to Morse-Smale Complex Computation: Scalability and Generality
IEEE Transactions on Visualization and Computer Graphics
PACIFICVIS '09 Proceedings of the 2009 IEEE Pacific Visualization Symposium
Analysis of Recurrent Patterns in Toroidal Magnetic Fields
IEEE Transactions on Visualization and Computer Graphics
Dynamic line integral convolution for visualizing streamline evolution
IEEE Transactions on Visualization and Computer Graphics
Visualization methods for vortex rings and vortex breakdown bubbles
EUROVIS'07 Proceedings of the 9th Joint Eurographics / IEEE VGTC conference on Visualization
Boundary switch connectors for topological visualization of complex 3D vector fields
VISSYM'04 Proceedings of the Sixth Joint Eurographics - IEEE TCVG conference on Visualization
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Magnetic fields exhibit higher-order, nonlinear singularities in the form of point-dipole singularities. In addition, due to absence of divergence, they feature only a subset of invariant structures from traditional vector field topology. For magnetic fields of sets of point dipoles—widely present in physics and often used as an approximation—we present a technique revealing the topology of magnetic flux. The flux topology is identified with areas covered by field lines that directly connect pairs of dipoles. We introduce the dipole connectrix as a reduced one-manifold representation of those areas. The set of connectrices serves as our concise visualization of the global structure of magnetic flux. In addition, the quantitative values of flux are displayed by the thickness of the connectrices. We evaluate our technique for simulations of ferroparticle monolayers and magnetic gels. © 2012 Wiley Periodicals, Inc.