Computer graphics: principles and practice (2nd ed.)
Computer graphics: principles and practice (2nd ed.)
Ellipsoidal quantification of evolving phenomena
Scientific visualization of physical phenomena
Illumination in diverse codimensions
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Interactive visualization of 3D-vector fields using illuminated stream lines
Proceedings of the 7th conference on Visualization '96
Visualizing diffusion tensor images of the mouse spinal cord
Proceedings of the conference on Visualization '98
Models of light reflection for computer synthesized pictures
SIGGRAPH '77 Proceedings of the 4th annual conference on Computer graphics and interactive techniques
Regularization of MR Diffusion Tensor Maps for Tracking Brain White Matter Bundles
MICCAI '98 Proceedings of the First International Conference on Medical Image Computing and Computer-Assisted Intervention
Moving iconic objects in scientific visualization
VIS '90 Proceedings of the 1st conference on Visualization '90
Visualization of second order tensor fields and matrix data
VIS '92 Proceedings of the 3rd conference on Visualization '92
Tensorlines: advection-diffusion based propagation through diffusion tensor fields
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Towards interactive bump mapping with anisotropic shift-variant BRDFs
HWWS '00 Proceedings of the ACM SIGGRAPH/EUROGRAPHICS workshop on Graphics hardware
Case study: visualizing ocean currents with color and dithering
PVG '01 Proceedings of the IEEE 2001 symposium on parallel and large-data visualization and graphics
An immersive virtual environment for DT-MRI volume visualization applications: a case study
Proceedings of the conference on Visualization '01
4D space-time techniques: a medical imaging case study
Proceedings of the conference on Visualization '01
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
Computational Engineering and Science Program at the University of Utah
ICCS '01 Proceedings of the International Conference on Computational Sciences-Part I
Toward Application of Virtual Reality to Visualization of DT-MRI Volumes
MICCAI '01 Proceedings of the 4th International Conference on Medical Image Computing and Computer-Assisted Intervention
Visualizing Diffusion Tensor MR Images Using Streamtubes and Streamsurfaces
IEEE Transactions on Visualization and Computer Graphics
The 3D visualization of brain anatomy from diffusion-weighted magnetic resonance imaging data
Proceedings of the 2nd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Interactive Volume Rendering of Thin Thread Structures within Multivalued Scientific Data Sets
IEEE Transactions on Visualization and Computer Graphics
Lighting Transfer Functions Using Gradient Aligned Sampling
VIS '04 Proceedings of the conference on Visualization '04
Topological Lines in 3D Tensor Fields
VIS '04 Proceedings of the conference on Visualization '04
Exploration of the Brain's White Matter Pathways with Dynamic Queries
VIS '04 Proceedings of the conference on Visualization '04
Feature-based surface parameterization and texture mapping
ACM Transactions on Graphics (TOG)
Topological Lines in 3D Tensor Fields and Discriminant Hessian Factorization
IEEE Transactions on Visualization and Computer Graphics
Exploring Connectivity of the Brain's White Matter with Dynamic Queries
IEEE Transactions on Visualization and Computer Graphics
Visualization of Geologic Stress Perturbations Using Mohr Diagrams
IEEE Transactions on Visualization and Computer Graphics
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Implicit surface visualization of reconstructed biological molecules
Theoretical Computer Science - In memoriam: Alberto Del Lungo (1965-2003)
New discriminants for detecting degenerate areas in DT-MRI
BioMed'06 Proceedings of the 24th IASTED international conference on Biomedical engineering
Stochastic DT-MRI Connectivity Mapping on the GPU
IEEE Transactions on Visualization and Computer Graphics
Evaluation of glyph-based multivariate scalar volume visualization techniques
Proceedings of the 6th Symposium on Applied Perception in Graphics and Visualization
DTI visualization with streamsurfaces and evenly-spaced volume seeding
VISSYM'04 Proceedings of the Sixth Joint Eurographics - IEEE TCVG conference on Visualization
GPU-based hyperstreamlines for diffusion tensor imaging
EUROVIS'06 Proceedings of the Eighth Joint Eurographics / IEEE VGTC conference on Visualization
EuroVis'09 Proceedings of the 11th Eurographics / IEEE - VGTC conference on Visualization
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With the development of magnetic resonance imaging techniques for acquiring diffusion tensor data from biological tissue, visualization of tensor data has become a new research focus. The diffusion tensor describes the directional dependence of water molecules' diffusion and can be represented by a three-by-three symmetric matrix. Visualization of second-order tensor fields is difficult because the data values have many degrees of freedom. Existing visualization techniques are best at portraying the tensor's properties over a two-dimensional field, or over a small subset of locations within a three-dimensional field. A means of visualizing the global structure in measured diffusion tensor data is needed. We propose the use of direct volume rendering, with novel approaches for the tensors' coloring, lighting, and opacity assignment. Hueballs use a two-dimensional colormap on the unit sphere to illustrate the tensor's action as a linear operator. Lit-tensors provide a lighting model for tensors which includes as special cases both lit-lines (from streamline vector visualization) and standard Phong surface lighting. Together with an opacity assignment based on a novel two-dimensional barycentric space of anisotropy, these methods are shown to produce informative renderings of measured diffusion tensor data from the human brain.