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Visualization and processing of tensor fields : advances and perspectives

Author: David Laidlaw; Joachim Weickert
Publisher: Berlin : Springer, ©2009.
Series: Mathematics and visualization.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Tensor fields are the natural representation for many physical quantities; they can describe how water moves around in the brain, how gravity varies around the earth, or how materials are stressed and deformed. This book provides researchers a look at how to process and visualize complicated 2D and 3D images known as tensor fields.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Visualization and processing of tensor fields.
Berlin : Springer, ©2009
(OCoLC)288986631
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: David Laidlaw; Joachim Weickert
ISBN: 9783540883784 3540883789 3540883770 9783540883777
OCLC Number: 341591148
Description: 1 online resource (xvii, 376 pages) : illustrations (some color).
Contents: Modelling, fitting and sampling in diffusion MRI --
Tensors, polynomials and models for directional data --
A mixture of Wisharts (MOW) model for multifiber reconstruction --
The algebra of fourth-order tensors with application to diffusion MRI --
Structure-specific statistical mapping of white matter tracts --
Analysis of distance/similarity measures for diffusion tensor imaging --
Tensor glyph warping: Visualizing metric tensor fields using riemannian exponential maps --
Interactive volume rendering of diffusion tensor data --
Dense glyph sampling for visualization --
The role of tensor fields for satellite gravity gradiometry --
Tensor visualization and defect detection for nematic liquid crystals using shape characteristics --
A tensor approach to elastography analysis and visualization --
A higher-order structure tensor --
Monogenic curvature tensor as image model --
A general structure tensor concept and coherence-enhancing diffusion filtering for matrix fields --
Coordinates-based diffusion over the space of symmetric positive-definite matrices --
Variational methods for denoising matrix fields --
An operator algebraic inverse scale space method for symmetric matrix valued images.
Series Title: Mathematics and visualization.
Responsibility: David Laidlaw, Joachim Weickert, editors.

Abstract:

This book provides researchers an inspirational look at how to process and visualize complicated 2D and 3D images known as tensor fields. With numerous color figures, it details both the underlying  Read more...

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