Visualization And Processing Of Tensor Fields


Visualization And Processing Of Tensor Fields
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Visualization And Processing Of Tensor Fields


Visualization And Processing Of Tensor Fields
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Author : David H. Laidlaw
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-03-30

Visualization And Processing Of Tensor Fields written by David H. Laidlaw and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-30 with Mathematics categories.


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 mathematics and the applications of tensor fields.



Visualization And Processing Of Tensor Fields


Visualization And Processing Of Tensor Fields
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Author : Joachim Weickert
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-25

Visualization And Processing Of Tensor Fields written by Joachim Weickert and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-25 with Mathematics categories.


Matrix-valued data sets – so-called second order tensor fields – have gained significant importance in scientific visualization and image processing due to recent developments such as diffusion tensor imaging. This book is the first edited volume that presents the state of the art in the visualization and processing of tensor fields. It contains some longer chapters dedicated to surveys and tutorials of specific topics, as well as a great deal of original work by leading experts that has not been published before. It serves as an overview for the inquiring scientist, as a basic foundation for developers and practitioners, and as as a textbook for specialized classes and seminars for graduate and doctoral students.



New Developments In The Visualization And Processing Of Tensor Fields


New Developments In The Visualization And Processing Of Tensor Fields
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Author : David H. Laidlaw
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-14

New Developments In The Visualization And Processing Of Tensor Fields written by David H. Laidlaw and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-14 with Mathematics categories.


Bringing together key researchers in disciplines ranging from visualization and image processing to applications in structural mechanics, fluid dynamics, elastography, and numerical mathematics, the workshop that generated this edited volume was the third in the successful Dagstuhl series. Its aim, reflected in the quality and relevance of the papers presented, was to foster collaboration and fresh lines of inquiry in the analysis and visualization of tensor fields, which offer a concise model for numerous physical phenomena. Despite their utility, there remains a dearth of methods for studying all but the simplest ones, a shortage the workshops aim to address. Documenting the latest progress and open research questions in tensor field analysis, the chapters reflect the excitement and inspiration generated by this latest Dagstuhl workshop, held in July 2009. The topics they address range from applications of the analysis of tensor fields to purer research into their mathematical and analytical properties. They show how cooperation and the sharing of ideas and data between those engaged in pure and applied research can open new vistas in the study of tensor fields.



New Developments In The Visualization And Processing Of Tensor Fields


New Developments In The Visualization And Processing Of Tensor Fields
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Author : David H. Laidlaw
language : en
Publisher: Springer
Release Date : 2012-09-14

New Developments In The Visualization And Processing Of Tensor Fields written by David H. Laidlaw and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-14 with Mathematics categories.


Bringing together key researchers in disciplines ranging from visualization and image processing to applications in structural mechanics, fluid dynamics, elastography, and numerical mathematics, the workshop that generated this edited volume was the third in the successful Dagstuhl series. Its aim, reflected in the quality and relevance of the papers presented, was to foster collaboration and fresh lines of inquiry in the analysis and visualization of tensor fields, which offer a concise model for numerous physical phenomena. Despite their utility, there remains a dearth of methods for studying all but the simplest ones, a shortage the workshops aim to address. Documenting the latest progress and open research questions in tensor field analysis, the chapters reflect the excitement and inspiration generated by this latest Dagstuhl workshop, held in July 2009. The topics they address range from applications of the analysis of tensor fields to purer research into their mathematical and analytical properties. They show how cooperation and the sharing of ideas and data between those engaged in pure and applied research can open new vistas in the study of tensor fields.



Visualization And Processing Of Tensors And Higher Order Descriptors For Multi Valued Data


Visualization And Processing Of Tensors And Higher Order Descriptors For Multi Valued Data
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Author : Carl-Fredrik Westin
language : en
Publisher: Springer
Release Date : 2014-07-17

Visualization And Processing Of Tensors And Higher Order Descriptors For Multi Valued Data written by Carl-Fredrik Westin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-17 with Mathematics categories.


Arising from the fourth Dagstuhl conference entitled Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data (2011), this book offers a broad and vivid view of current work in this emerging field. Topics covered range from applications of the analysis of tensor fields to research on their mathematical and analytical properties. Part I, Tensor Data Visualization, surveys techniques for visualization of tensors and tensor fields in engineering, discusses the current state of the art and challenges, and examines tensor invariants and glyph design, including an overview of common glyphs. The second Part, Representation and Processing of Higher-order Descriptors, describes a matrix representation of local phase, outlines mathematical morphological operations techniques, extended for use in vector images, and generalizes erosion to the space of diffusion weighted MRI. Part III, Higher Order Tensors and Riemannian-Finsler Geometry, offers powerful mathematical language to model and analyze large and complex diffusion data such as High Angular Resolution Diffusion Imaging (HARDI) and Diffusion Kurtosis Imaging (DKI). A Part entitled Tensor Signal Processing presents new methods for processing tensor-valued data, including a novel perspective on performing voxel-wise morphometry of diffusion tensor data using kernel-based approach, explores the free-water diffusion model, and reviews proposed approaches for computing fabric tensors, emphasizing trabecular bone research. The last Part, Applications of Tensor Processing, discusses metric and curvature tensors, two of the most studied tensors in geometry processing. Also covered is a technique for diagnostic prediction of first-episode schizophrenia patients based on brain diffusion MRI data. The last chapter presents an interactive system integrating the visual analysis of diffusion MRI tractography with data from electroencephalography.



Tensors In Image Processing And Computer Vision


Tensors In Image Processing And Computer Vision
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Author : Santiago Aja-Fernández
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-05-21

Tensors In Image Processing And Computer Vision written by Santiago Aja-Fernández and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-05-21 with Computers categories.


Tensor signal processing is an emerging field with important applications to computer vision and image processing. This book presents the state of the art in this new branch of signal processing, offering a great deal of research and discussions by leading experts in the area. The wide-ranging volume offers an overview into cutting-edge research into the newest tensor processing techniques and their application to different domains related to computer vision and image processing. This comprehensive text will prove to be an invaluable reference and resource for researchers, practitioners and advanced students working in the area of computer vision and image processing.



New Developments In The Visualization And Processing Of Tensor Fields


New Developments In The Visualization And Processing Of Tensor Fields
DOWNLOAD

Author : David H. Laidlaw
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-14

New Developments In The Visualization And Processing Of Tensor Fields written by David H. Laidlaw and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-14 with Mathematics categories.


Bringing together key researchers in disciplines ranging from visualization and image processing to applications in structural mechanics, fluid dynamics, elastography, and numerical mathematics, the workshop that generated this edited volume was the third in the successful Dagstuhl series. Its aim, reflected in the quality and relevance of the papers presented, was to foster collaboration and fresh lines of inquiry in the analysis and visualization of tensor fields, which offer a concise model for numerous physical phenomena. Despite their utility, there remains a dearth of methods for studying all but the simplest ones, a shortage the workshops aim to address. Documenting the latest progress and open research questions in tensor field analysis, the chapters reflect the excitement and inspiration generated by this latest Dagstuhl workshop, held in July 2009. The topics they address range from applications of the analysis of tensor fields to purer research into their mathematical and analytical properties. They show how cooperation and the sharing of ideas and data between those engaged in pure and applied research can open new vistas in the study of tensor fields.



Modeling Analysis And Visualization Of Anisotropy


Modeling Analysis And Visualization Of Anisotropy
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Author : Thomas Schultz
language : en
Publisher: Springer
Release Date : 2017-10-14

Modeling Analysis And Visualization Of Anisotropy written by Thomas Schultz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-14 with Mathematics categories.


This book focuses on the modeling, processing and visualization of anisotropy, irrespective of the context in which it emerges, using state-of-the-art mathematical tools. As such, it differs substantially from conventional reference works, which are centered on a particular application. It covers the following topics: (i) the geometric structure of tensors, (ii) statistical methods for tensor field processing, (iii) challenges in mapping neural connectivity and structural mechanics, (iv) processing of uncertainty, and (v) visualizing higher-order representations. In addition to original research contributions, it provides insightful reviews. This multidisciplinary book is the sixth in a series that aims to foster scientific exchange between communities employing tensors and other higher-order representations of directionally dependent data. A significant number of the chapters were co-authored by the participants of the workshop titled Multidisciplinary Approaches to Multivalued Data: Modeling, Visualization, Analysis, which was held in Dagstuhl, Germany in April 2016. It offers a valuable resource for those working in the field of multi-directional data, vital inspirations for the development of new models, and essential analysis and visualization techniques, thus furthering the state-of-the-art in studies involving anisotropy.



Anisotropy Across Fields And Scales


Anisotropy Across Fields And Scales
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Author : Evren Özarslan
language : en
Publisher: Springer Nature
Release Date : 2021

Anisotropy Across Fields And Scales written by Evren Özarslan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Algebra categories.


This open access book focuses on processing, modeling, and visualization of anisotropy information, which are often addressed by employing sophisticated mathematical constructs such as tensors and other higher-order descriptors. It also discusses adaptations of such constructs to problems encountered in seemingly dissimilar areas of medical imaging, physical sciences, and engineering. Featuring original research contributions as well as insightful reviews for scientists interested in handling anisotropy information, it covers topics such as pertinent geometric and algebraic properties of tensors and tensor fields, challenges faced in processing and visualizing different types of data, statistical techniques for data processing, and specific applications like mapping white-matter fiber tracts in the brain. The book helps readers grasp the current challenges in the field and provides information on the techniques devised to address them. Further, it facilitates the transfer of knowledge between different disciplines in order to advance the research frontiers in these areas. This multidisciplinary book presents, in part, the outcomes of the seventh in a series of Dagstuhl seminars devoted to visualization and processing of tensor fields and higher-order descriptors, which was held in Dagstuhl, Germany, on October 28-November 2, 2018.



Visualization Of Fields And Applications In Engineering


Visualization Of Fields And Applications In Engineering
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Author : Stephen Tou
language : en
Publisher: John Wiley & Sons
Release Date : 2011-04-22

Visualization Of Fields And Applications In Engineering written by Stephen Tou and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-22 with Technology & Engineering categories.


Driven by advances in computer technology, engineering analysis has developed rapidly and extensively in recent times; Visualization of Fields and Applications in Engineering presents the basic techniques for tensor field visualization and mapping of engineering data. Focusing on the fundamental aspects of post processing databases and applications outputs, the author explores existing theories and their integration in tensor field visualization and analysis. The subject covers fundamental theories through to integrated, multi-disciplinary technologies with practical applications in engineering, computer /general sciences. Visualization of Fields and Applications in Engineering is suitable for academic use and to serve as a source of reference. It will appeal to those who work in the engineering and science professions or in pursuit of academic training/ research. Offers a unique engineering approach to basic techniques for tensor field visualization and mapping Collates together material currently disseminated throughout the literature into one accessible point of reference Presents examples with applications beyond and across many disciplines.