Visualization techniques for engineering mechanics
Computing Systems in Education
Visualization of scalar topology for structural enhancement
Proceedings of the conference on Visualization '98
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
Visualizing multivalued data from 2D incompressible flows using concepts from painting
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Volume deformation for tensor visualization
Proceedings of the conference on Visualization '02
The Topology of Symmetric, Second-Order 3D Tensor Fields
IEEE Transactions on Visualization and Computer Graphics
Visualizing Second-Order Tensor Fields with Hyperstreamlines
IEEE Computer Graphics and Applications
VISSYM '03 Proceedings of the symposium on Data visualisation 2003
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
The topology of symmetric, second-order tensor fields
VIS '94 Proceedings of the conference on Visualization '94
Topological Lines in 3D Tensor Fields
VIS '04 Proceedings of the conference on Visualization '04
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
VISSYM'04 Proceedings of the Sixth Joint Eurographics - IEEE TCVG 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
New discriminants for detecting degenerate areas in DT-MRI
BioMed'06 Proceedings of the 24th IASTED international conference on Biomedical engineering
Topological Visualization of Brain Diffusion MRI Data
IEEE Transactions on Visualization and Computer Graphics
New Scalar Measures for Diffusion-Weighted MRI Visualization
ISVC '09 Proceedings of the 5th International Symposium on Advances in Visual Computing: Part I
Topological features in 2D symmetric higher-order tensor fields
EuroVis'11 Proceedings of the 13th Eurographics / IEEE - VGTC conference on Visualization
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This paper addresses several issues related to topological analysis of 3D second order symmetric tensor fields. First, we show that the degenerate features in such data sets form stable topological lines rather than points, as previously thought. Second, the paper presents two different methods for extracting these features by identifying the individual points on these lines and connecting them. Third, this paper proposes an analytical form of obtaining tangents at the degenerate points along these topological lines. The tangents are derived from a Hessian factorization technique on the tensor discriminant and leads to a fast and stable solution. Together, these three advances allow us to extract the backbone topological lines that form the basis for topological analysis of tensor fields.