Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Visualization techniques for engineering mechanics
Computing Systems in Education
Visualizing Vector Field Topology in Fluid Flows
IEEE Computer Graphics and Applications
Surface representations of two- and three-dimensional fluid flow topology
VIS '90 Proceedings of the 1st conference on Visualization '90
Moving iconic objects in scientific visualization
VIS '90 Proceedings of the 1st conference on Visualization '90
A tool for visualizing the topology of three-dimensional vector fields
VIS '91 Proceedings of the 2nd conference on Visualization '91
The stream polygon: a technique for 3D vector field visualization
VIS '91 Proceedings of the 2nd conference on Visualization '91
Singularities in nonuniform tensor fields
VIS '97 Proceedings of the 8th conference on Visualization '97
Visualization of rotation fields
VIS '97 Proceedings of the 8th conference on Visualization '97
Interactive deformations from tensor fields
Proceedings of the conference on Visualization '98
Hue-balls and lit-tensors for direct volume rendering of diffusion tensor fields
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Tensorlines: advection-diffusion based propagation through diffusion tensor fields
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Isometric embedding by surface reconstruction from distances
Proceedings of the conference on Visualization '02
Tensor field visualisation using adaptive filtering of noise fields combined with glyph rendering
Proceedings of the conference on Visualization '02
Volume deformation for tensor visualization
Proceedings of the conference on Visualization '02
Oriented tensor reconstruction: tracing neural pathways from diffusion tensor MRI
Proceedings of the conference on Visualization '02
Strategies for Direct Volume Rendering of Diffusion Tensor Fields
IEEE Transactions on Visualization and Computer Graphics
Visualizing Second-Order Tensor Fields with Hyperstreamlines
IEEE Computer Graphics and Applications
Interaction of light and tensor fields
VISSYM '03 Proceedings of the symposium on Data visualisation 2003
A probe for local flow field visualization
VIS '93 Proceedings of the 4th conference on Visualization '93
Streamball techniques for flow visualization
VIS '94 Proceedings of the conference on Visualization '94
Visualization of Salt-Induced Stress Perturbations
VIS '04 Proceedings of the conference on Visualization '04
Visualization of Geologic Stress Perturbations Using Mohr Diagrams
IEEE Transactions on Visualization and Computer Graphics
Visualization in Medicine: Theory, Algorithms, and Applications
Visualization in Medicine: Theory, Algorithms, and Applications
A viewer-dependent tensor field visualization using particle tracing
ICCSA'11 Proceedings of the 2011 international conference on Computational science and its applications - Volume Part I
Visualization and multivariate clustering of scattered moment tensors
Information Visualization - Special issue on Visualization and Data Analysis 2011
A viewer-dependent tensor field visualization using multiresolution and particle tracing
ICCSA'12 Proceedings of the 12th international conference on Computational Science and Its Applications - Volume Part II
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We present a study of the visualization of 3-D second order tensor fields and matrix data. The general problem of visualizing unsymmetric real or complex Hermitian second order tensor fields can be reduced to the simultaneous visualization of a real and symmetric second order tensor field and a real vector field. As opposed to the discrete iconic techniques commonly used in multivariate data visualization, the emphasis is on exploiting the mathematical properties of tensor fields in order to facilitate their visualization and to produce a continuous representation of the data. We focus on interactively sensing and exploring real and symmetric second order tensor data by generalizing the vector notion of streamline to the tensor concept of hyperstreamline. We stress the importance of a structural analysis of the data field analogous to the techniques of vector field topology extraction in order to obtain a unique and objective representation of second order tensor fields.