Visualization techniques for engineering mechanics
Computing Systems in Education
Imaging vector fields using line integral convolution
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Topology of second-order tensor fields
Computers in Physics
Fast and resolution independent line integral convolution
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Interactive deformations from tensor fields
Proceedings of the conference on Visualization '98
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
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
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
Visualizing Gradients in Composite Design and Fabrication
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)
Strategies for the Visualization of Multiple 2D Vector Fields
IEEE Computer Graphics and Applications
Diffusion Tensor Visualization with Glyph Packing
IEEE Transactions on Visualization and Computer Graphics
Analyzing Vortex Breakdown Flow Structures by Assignment of Colors to Tensor Invariants
IEEE Transactions on Visualization and Computer Graphics
Interactive exploration of tensor fields in geosciences using volume rendering
Computers & Geosciences
Three-dimensional colour functions for stress state visualisation
Computers & Geosciences
Direct visualization of deformation in volumes
EuroVis'09 Proceedings of the 11th Eurographics / IEEE - VGTC conference on Visualization
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The physical interpretation of mathematical features of tensor fields is highly application-specific. Existing visualization methods for tensor fields only cover a fraction of the broad application areas. We present a visualization method tailored specifically to the class of tensor field exhibiting properties similar to stress and strain tensors, which are commonly encountered in geomechanics. Our technique is a global method that represents the physical meaning of these tensor fields with their central features: regions of compression or expansion. The method is based on two steps: first, we define a positive definite metric, with the same topological structure as the tensor field; second, we visualize the resulting metric. The eigenvector fields are represented using a texture-based approach resembling line integral convolution (LIC) methods. The eigenvalues of the metric are encoded in free parameters of the texture definition. Our method supports an intuitive distinction between positive and negative eigenvalues. We have applied our method to synthetic and some standard data sets, and "real" data from Earth science and mechanical engineering application.