Interactive visualization of scattered moment tensor data

Obermaier, Harald; Billen, M. I.; Hagen, Hans; Hering-Bertram, Martin

doi:10.1117/12.872264

Cited by 3 publications

(3 citation statements)

References 19 publications

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“…Interpolating over such discrete samples is a core integral part to visually analyze the continuous behaviors of anisotropic features inherent in the original 3D tensor fields. 1 Plausibly reconstructed tensor fields allow medical doctors to perform more sophisticated visual analysis, including tractography 2 and haptic rendering, 3 for more intuitive detection of structural anomalies.…”

Section: Introductionmentioning

confidence: 99%

Degeneracy-aware interpolation of 3D diffusion tensor fields

Takahashi

Fujishiro

2012

Visualization and Data Analysis 2012

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Visual analysis of 3D diffusion tensor fields has become an important topic especially in medical imaging for understanding microscopic structures and physical properties of biological tissues. However, it is still difficult to continuously track the underlying features from discrete tensor samples, due to the absence of appropriate interpolation schemes in the sense that we are able to handle possible degeneracy while fully respecting the smooth transition of tensor anisotropic features. This is because the degeneracy may cause rotational inconsistency of tensor anisotropy. This paper presents such an approach to interpolating 3D diffusion tensor fields. The primary idea behind our approach is to resolve the possible degeneracy through optimizing the rotational transformation between a pair of neighboring tensors by analyzing their associated eigenstructure, while the degeneracy can be identified by applying a minimum spanning tree-based clustering algorithm to the original tensor samples. Comparisons with existing interpolation schemes will be provided to demonstrate the advantages of our scheme, together with several results of tracking white matter fiber bundles in a human brain.

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Section: Introductionmentioning

confidence: 99%

Degeneracy-aware interpolation of 3D diffusion tensor fields

Takahashi

Fujishiro

2012

Visualization and Data Analysis 2012

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“…This paper constitutes an extension of our recently published work on moment tensor data visualization. 2 On a small scale we present novel tensor glyphs to visualize these properties for individual moment tensors. Medium scale visualization of tensor groups or clusters is achieved by the development of novel multivariate tensor clustering and averaging techniques.…”

Section: Introductionmentioning

confidence: 99%

“…This paper constitutes an extension of our recently published work on moment tensor data visualization. 2…”

Section: Introductionmentioning

confidence: 99%

Visualization and multivariate clustering of scattered moment tensors

Obermaier

Billen

Joy

et al. 2012

Information Visualization

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Moment tensors are indefinite tensors derived from seismic measurements and encode important information about earthquakes and surface displacement in the earth's mantle. Appropriate analysis of scattered moment tensor fields requires multi-scale visualization to identify related seismic events. For this matter we provide a visualization of the tensor field at different scales based on multivariate tensor clustering. The resulting visualization allows interactive analysis of individual tensors, analysis of tensor groups and clustering behavior as well as examination of the complete tensor field. Our results show the benefit of multi-scale earthquake and displacement analysis and demonstrate the advantages over classic tensor visualization and univariate, static cluster visualization.

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A survey on visualization of tensor field

Lü

Duan

et al. 2019

J Vis

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Interactive visualization of scattered moment tensor data

Cited by 3 publications

References 19 publications

Degeneracy-aware interpolation of 3D diffusion tensor fields

Degeneracy-aware interpolation of 3D diffusion tensor fields

Visualization and multivariate clustering of scattered moment tensors

A survey on visualization of tensor field

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