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Visualization and Processing of Tensor Fields
Advances and Perspectives
Buch von Joachim Weickert (u. a.)
Sprache: Englisch

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Beschreibung
Visualisation and Processing of Tensor Fields provides researchers an inspirational look at how to process and visualize complicated 2D and 3D images known as tensor fields. Tensor fields are the natural representation for many physical quantities; they can describe how water moves around in the brain, how gravity varies arount the earth, or how materials are stressed and deformed. With its numerous color figures, this book helps the reader understand both the underlying mathematics and the applications of tensor fields.
Visualisation and Processing of Tensor Fields provides researchers an inspirational look at how to process and visualize complicated 2D and 3D images known as tensor fields. Tensor fields are the natural representation for many physical quantities; they can describe how water moves around in the brain, how gravity varies arount the earth, or how materials are stressed and deformed. With its numerous color figures, this book helps the reader understand both the underlying mathematics and the applications of tensor fields.
Zusammenfassung

Major workshop in core field of visualization

Includes supplementary material: [...]

Inhaltsverzeichnis
Models for Diffusion MRI.- 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.- Higher-Level Analysis of Diffusion Images.- Structure-Specific Statistical Mapping of White Matter Tracts.- Analysis of Distance/Similarity Measures for Diffusion Tensor Imaging.- Tensor Field Visualization.- Tensor Glyph Warping: Visualizing Metric Tensor Fields using Riemannian Exponential Maps.- Interactive Volume Rendering of Diffusion Tensor Data.- Dense Glyph Sampling for Visualization.- Tensor Field Analysis in the Physical Sciences.- 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.- Tensor Image Structure Models.- A Higher-Order Structure Tensor.- Monogenic Curvature Tensor as Image Model.- Filtering with Tensors.- 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.
Details
Erscheinungsjahr: 2009
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 396
Reihe: Mathematics and Visualization
Inhalt: xvii
376 S.
ISBN-13: 9783540883777
ISBN-10: 3540883770
Sprache: Englisch
Herstellernummer: 12514960
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Redaktion: Weickert, Joachim
Laidlaw, David H.
Herausgeber: David H Laidlaw/Joachim Weickert
Auflage: 2009
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Mathematics and Visualization
Maße: 241 x 160 x 27 mm
Von/Mit: Joachim Weickert (u. a.)
Erscheinungsdatum: 09.03.2009
Gewicht: 0,758 kg
preigu-id: 101728769
Zusammenfassung

Major workshop in core field of visualization

Includes supplementary material: [...]

Inhaltsverzeichnis
Models for Diffusion MRI.- 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.- Higher-Level Analysis of Diffusion Images.- Structure-Specific Statistical Mapping of White Matter Tracts.- Analysis of Distance/Similarity Measures for Diffusion Tensor Imaging.- Tensor Field Visualization.- Tensor Glyph Warping: Visualizing Metric Tensor Fields using Riemannian Exponential Maps.- Interactive Volume Rendering of Diffusion Tensor Data.- Dense Glyph Sampling for Visualization.- Tensor Field Analysis in the Physical Sciences.- 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.- Tensor Image Structure Models.- A Higher-Order Structure Tensor.- Monogenic Curvature Tensor as Image Model.- Filtering with Tensors.- 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.
Details
Erscheinungsjahr: 2009
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 396
Reihe: Mathematics and Visualization
Inhalt: xvii
376 S.
ISBN-13: 9783540883777
ISBN-10: 3540883770
Sprache: Englisch
Herstellernummer: 12514960
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Redaktion: Weickert, Joachim
Laidlaw, David H.
Herausgeber: David H Laidlaw/Joachim Weickert
Auflage: 2009
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Mathematics and Visualization
Maße: 241 x 160 x 27 mm
Von/Mit: Joachim Weickert (u. a.)
Erscheinungsdatum: 09.03.2009
Gewicht: 0,758 kg
preigu-id: 101728769
Warnhinweis