Directional flow visualization of vector fields
Proceedings of the 7th conference on Visualization '96
Singularities in nonuniform tensor fields
VIS '97 Proceedings of the 8th conference on Visualization '97
Visualizing diffusion tensor images of the mouse spinal cord
Proceedings of the conference on Visualization '98
Visualizing multivalued data from 2D incompressible flows using concepts from painting
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Numerical Recipes in C++: the art of scientific computing
Numerical Recipes in C++: the art of scientific computing
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
The Deformed Cube: A Visualization Technique for 3D Velocity Vector Field
ICSC '95 Proceedings of the Third International Computer Science Conference on Image Analysis Applications and Computer Graphics
Visualization of Deformation Tensor Fields
Scientific Visualization, Overviews, Methodologies, and Techniques
The stream polygon: a technique for 3D vector field visualization
VIS '91 Proceedings of the 2nd conference on Visualization '91
Visualization of second order tensor fields and matrix data
VIS '92 Proceedings of the 3rd conference on Visualization '92
A probe for local flow field visualization
VIS '93 Proceedings of the 4th conference on Visualization '93
The topology of symmetric, second-order tensor fields
VIS '94 Proceedings of the conference on Visualization '94
Physically Based Methods for Tensor Field Visualization
VIS '04 Proceedings of the conference on Visualization '04
Topological Lines in 3D Tensor Fields
VIS '04 Proceedings of the conference on Visualization '04
Topological Lines in 3D Tensor Fields and Discriminant Hessian Factorization
IEEE Transactions on Visualization and Computer Graphics
Visualization of Geologic Stress Perturbations Using Mohr Diagrams
IEEE Transactions on Visualization and Computer Graphics
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We present three new ways of looking at tensor volumes. All three methods are based on the interaction of simulated light and the tensor field. Conceptually, rays are shot from a certain direction into the tensor volume. These rays are influenced by the surrounding tensor field and bent as they traverse through the volume. The tensor is visualized by both the nature of the bent rays and by the collection of rays deposited on a receiving plate. The former is similar to streamlines, but shows paths of greatest influence by the tensor field. The latter is similar to caustic effects from photon maps, but shows the convergence or divergence of the rays through the tensor volume. We also use the concept of treating the tensor volume as a special lens that distorts an image. Using backward ray tracing through the tensor volume, we generate image distortions that also show internal properties of the tensor field. A key advantage of these techniques is that they can work directly with non-symmetric tensor fields without first decomposing them into components. Color images can also be found in www.soe.ucsc.edu/research/avis/tensorray.html.