Visualization techniques for engineering mechanics
Computing Systems in Education
Visualizing diffusion tensor images of the mouse spinal cord
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
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
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
VISSYM'04 Proceedings of the Sixth Joint Eurographics - IEEE TCVG conference on Visualization
Topological Lines in 3D Tensor Fields and Discriminant Hessian Factorization
IEEE Transactions on Visualization and Computer Graphics
Topological Visualization of Brain Diffusion MRI Data
IEEE Transactions on Visualization and Computer Graphics
Polygonizing extremal surfaces with manifold guarantees
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
Interpolating 3D diffusion tensors in 2D planar domain by locating degenerate lines
ISVC'10 Proceedings of the 6th international conference on Advances in visual computing - Volume Part I
Complete tensor field topology on 2D triangulated manifolds embedded in 3D
EuroVis'11 Proceedings of the 13th Eurographics / IEEE - VGTC conference on Visualization
| Hi-index | 0.01 |
Visualization of 3D tensor fields continues to be a major challenge in terms of providing intuitive and uncluttered images that allow the users to better understand their data. The primary focus of this paper is on finding a formulation that lends itself to a stable numerical algorithm for extracting stable and persistent topological features from 2nd order real symmetric 3D tensors. While features in 2D tensors can be identified as either wedge or trisector points, in 3D, the corresponding stable features are lines, not just points. These topological feature lines provide a compact representation of the 3D tensor field and are essential in helping scientists and engineers understand their complex nature. Existing techniques work by finding degenerate points and are not numerically stable, and worse, produce both false positive and false negative feature points. This paper seeks to address this problem with a robust algorithm that can extract these features in a numerically stable, accurate, and complete manner.