Visualization And Processing Of Tensor Fields

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Visualization and Processing of Tensor Fields

Author : Joachim Weickert
Publisher : Springer Science & Business Media
ISBN 13 : 3540312722
Total Pages : 481 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Visualization and Processing of Tensor Fields by : Joachim Weickert

Download or read book Visualization and Processing of Tensor Fields written by Joachim Weickert and published by Springer Science & Business Media. This book was released on 2007-06-25 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Visualization and Processing of Tensor Fields

Author : David H. Laidlaw
Publisher : Springer Science & Business Media
ISBN 13 : 3540883789
Total Pages : 379 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Visualization and Processing of Tensor Fields by : David H. Laidlaw

Download or read book Visualization and Processing of Tensor Fields written by David H. Laidlaw and published by Springer Science & Business Media. This book was released on 2009-03-30 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

New Developments in the Visualization and Processing of Tensor Fields

Author : David H. Laidlaw
Publisher : Springer Science & Business Media
ISBN 13 : 3642273424
Total Pages : 389 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis New Developments in the Visualization and Processing of Tensor Fields by : David H. Laidlaw

Download or read book New Developments in the Visualization and Processing of Tensor Fields written by David H. Laidlaw and published by Springer Science & Business Media. This book was released on 2012-09-14 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : David H. Laidlaw
Publisher : Springer
ISBN 13 : 9783662507865
Total Pages : 408 pages
Book Rating : 4.5/5 (78 download)

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Book Synopsis New Developments in the Visualization and Processing of Tensor Fields by : David H. Laidlaw

Download or read book New Developments in the Visualization and Processing of Tensor Fields written by David H. Laidlaw and published by Springer. This book was released on 2016-05-01 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Carl-Fredrik Westin
Publisher : Springer
ISBN 13 : 3642543014
Total Pages : 343 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data by : Carl-Fredrik Westin

Download or read book Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data written by Carl-Fredrik Westin and published by Springer. This book was released on 2014-07-17 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Visualization of Second-order Tensor Fields

Author : Thierry Delmarcelle
Publisher :
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis The Visualization of Second-order Tensor Fields by : Thierry Delmarcelle

Download or read book The Visualization of Second-order Tensor Fields written by Thierry Delmarcelle and published by . This book was released on 1994 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Tensors in Image Processing and Computer Vision

Author : Santiago Aja-Fernández
Publisher : Springer Science & Business Media
ISBN 13 : 1848822995
Total Pages : 468 pages
Book Rating : 4.8/5 (488 download)

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Book Synopsis Tensors in Image Processing and Computer Vision by : Santiago Aja-Fernández

Download or read book Tensors in Image Processing and Computer Vision written by Santiago Aja-Fernández and published by Springer Science & Business Media. This book was released on 2009-05-21 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Anisotropy Across Fields and Scales

Author : Evren Özarslan
Publisher : Springer Nature
ISBN 13 : 3030562158
Total Pages : 284 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Anisotropy Across Fields and Scales by : Evren Özarslan

Download or read book Anisotropy Across Fields and Scales written by Evren Özarslan and published by Springer Nature. This book was released on 2021 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 and Processing of Higher Order Descriptors for Multi-Valued Data

Author : Ingrid Hotz
Publisher : Springer
ISBN 13 : 3319150901
Total Pages : 383 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Visualization and Processing of Higher Order Descriptors for Multi-Valued Data by : Ingrid Hotz

Download or read book Visualization and Processing of Higher Order Descriptors for Multi-Valued Data written by Ingrid Hotz and published by Springer. This book was released on 2015-07-03 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern imaging techniques and computational simulations yield complex multi-valued data that require higher-order mathematical descriptors. This book addresses topics of importance when dealing with such data, including frameworks for image processing, visualization and statistical analysis of higher-order descriptors. It also provides examples of the successful use of higher-order descriptors in specific applications and a glimpse of the next generation of diffusion MRI. To do so, it combines contributions on new developments, current challenges in this area and state-of-the-art surveys. Compared to the increasing importance of higher-order descriptors in a range of applications, tools for analysis and processing are still relatively hard to come by. Even though application areas such as medical imaging, fluid dynamics and structural mechanics are very different in nature they face many shared challenges. This book provides an interdisciplinary perspective on this topic with contributions from key researchers in disciplines ranging from visualization and image processing to applications. It is based on the 5th Dagstuhl seminar on Visualization and Processing of Higher Order Descriptors for Multi-Valued Data. This book will appeal to scientists who are working to develop new analysis methods in the areas of image processing and visualization, as well as those who work with applications that generate higher-order data or could benefit from higher-order models and are searching for novel analytical tools.

Modeling, Analysis, and Visualization of Anisotropy

Author : Thomas Schultz
Publisher : Springer
ISBN 13 : 3319613588
Total Pages : 407 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Modeling, Analysis, and Visualization of Anisotropy by : Thomas Schultz

Download or read book Modeling, Analysis, and Visualization of Anisotropy written by Thomas Schultz and published by Springer. This book was released on 2017-10-14 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Visualization of Fields and Applications in Engineering

Author : Stephen Tou
Publisher : John Wiley & Sons
ISBN 13 : 0470978465
Total Pages : 279 pages
Book Rating : 4.4/5 (79 download)

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Book Synopsis Visualization of Fields and Applications in Engineering by : Stephen Tou

Download or read book Visualization of Fields and Applications in Engineering written by Stephen Tou and published by John Wiley & Sons. This book was released on 2011-04-22 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

New Insights on Multidimensional Image and Tensor Field Segmentation

Author : Rodrigo De Louis García
Publisher : Presses univ. de Louvain
ISBN 13 : 9782874630927
Total Pages : 250 pages
Book Rating : 4.6/5 (39 download)

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Book Synopsis New Insights on Multidimensional Image and Tensor Field Segmentation by : Rodrigo De Louis García

Download or read book New Insights on Multidimensional Image and Tensor Field Segmentation written by Rodrigo De Louis García and published by Presses univ. de Louvain. This book was released on 2007 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extracting knowledge from images through feature extraction is a topic of paramount importance for the Image Processing and Computer Vision communities. Within this general objective, this thesis focuses on the combination of the intensity and texture information, encoded by means of the local structure tensor (LST), for the segmentation of images. The LST is a well-stablished tool for the representation of oriented textures, and its incorporation to the segmentation process has reported to improve the segmentation performance. However, its combined use with the intensity is a complex issue that must be tackled carefully. This dissertation explores various alternatives to achieve this combination, and besides studies the problem of the balance of both sources of information. Within a level set framework, the segmentation is first performed in the tensor domain based on the definition of novel LST tensor variants that incorporate intensity information. A different approach is also considered based on a common energy minimization framework that allows the usage of both the insensity and the LST respecting their most adequate representation forms and suitable metrics. Besides, an adaptive procedure for the determination of the weighting parameters is proposed that takes into account the respective discriminant power of both features. The segmentation of tensor fields is also addressed in this dissertation. In this direction, an extension to the state-of-the-art approaches for the segmentation of tensor data has been derived which is based on the modeling of tensor data using mixtures of Gaussians. The application of this scheme can be devoted to the combined use of the intensity and texture as introduced before, as well as for the stand-alone segmentation of tensor fields. The methods proposed in this dissertation are applied to three medical image applications. The first two are performed using both the intensity and the LST in a combined approach as proposed in this thesis. Specifically, the segmentation of hand bones from radiographs is first addressed, related to the problem of the automated determination of the skeletal age in children. Next, the endocardium of the left ventricle is extractred from 3D+T cardiac MRI images. The third application is devoted to the segmentation of the corpus callosum from diffusion tensor MRI, and is thus an application of the Gaussian mixtures model for tensor field segmentation.

Data Visualization

Author : Alexandru C. Telea
Publisher : CRC Press
ISBN 13 : 1466585269
Total Pages : 619 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Data Visualization by : Alexandru C. Telea

Download or read book Data Visualization written by Alexandru C. Telea and published by CRC Press. This book was released on 2014-09-18 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designing a complete visualization system involves many subtle decisions. When designing a complex, real-world visualization system, such decisions involve many types of constraints, such as performance, platform (in)dependence, available programming languages and styles, user-interface toolkits, input/output data format constraints, integration with third-party code, and more. Focusing on those techniques and methods with the broadest applicability across fields, the second edition of Data Visualization: Principles and Practice provides a streamlined introduction to various visualization techniques. The book illustrates a wide variety of applications of data visualizations, illustrating the range of problems that can be tackled by such methods, and emphasizes the strong connections between visualization and related disciplines such as imaging and computer graphics. It covers a wide range of sub-topics in data visualization: data representation; visualization of scalar, vector, tensor, and volumetric data; image processing and domain modeling techniques; and information visualization. See What’s New in the Second Edition: Additional visualization algorithms and techniques New examples of combined techniques for diffusion tensor imaging (DTI) visualization, illustrative fiber track rendering, and fiber bundling techniques Additional techniques for point-cloud reconstruction Additional advanced image segmentation algorithms Several important software systems and libraries Algorithmic and software design issues are illustrated throughout by (pseudo)code fragments written in the C++ programming language. Exercises covering the topics discussed in the book, as well as datasets and source code, are also provided as additional online resources.

Topological Methods in Data Analysis and Visualization III

Author : Peer-Timo Bremer
Publisher : Springer Science & Business
ISBN 13 : 3319040995
Total Pages : 279 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Topological Methods in Data Analysis and Visualization III by : Peer-Timo Bremer

Download or read book Topological Methods in Data Analysis and Visualization III written by Peer-Timo Bremer and published by Springer Science & Business. This book was released on 2014-04-22 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of peer-reviewed conference papers provides comprehensive coverage of cutting-edge research in topological approaches to data analysis and visualization. It encompasses the full range of new algorithms and insights, including fast homology computation, comparative analysis of simplification techniques, and key applications in materials and medical science. The volume also features material on core research challenges such as the representation of large and complex datasets and integrating numerical methods with robust combinatorial algorithms. Reflecting the focus of the TopoInVis 2013 conference, the contributions evince the progress currently being made on finding experimental solutions to open problems in the sector. They provide an inclusive snapshot of state-of-the-art research that enables researchers to keep abreast of the latest developments and provides a foundation for future progress. With papers by some of the world’s leading experts in topological techniques, this volume is a major contribution to the literature in a field of growing importance with applications in disciplines that range from engineering to medicine.

Computational Science and Its Applications -- ICCSA 2013

Author : Beniamino Murgante
Publisher : Springer
ISBN 13 : 3642396402
Total Pages : 659 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Computational Science and Its Applications -- ICCSA 2013 by : Beniamino Murgante

Download or read book Computational Science and Its Applications -- ICCSA 2013 written by Beniamino Murgante and published by Springer. This book was released on 2013-06-22 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: The five-volume set LNCS 7971-7975 constitutes the refereed proceedings of the 13th International Conference on Computational Science and Its Applications, ICCSA 2013, held in Ho Chi Minh City, Vietnam in June 2013. The 248 revised papers presented in five tracks and 33 special sessions and workshops were carefully reviewed and selected. The 46 papers included in the five general tracks are organized in the following topical sections: computational methods, algorithms and scientific applications; high-performance computing and networks; geometric modeling, graphics and visualization; advanced and emerging applications; and information systems and technologies. The 202 papers presented in special sessions and workshops cover a wide range of topics in computational sciences ranging from computational science technologies to specific areas of computational sciences such as computer graphics and virtual reality.

Advances in Visual Computing

Author : Richard Boyle
Publisher : Springer
ISBN 13 : 3540768580
Total Pages : 834 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Advances in Visual Computing by : Richard Boyle

Download or read book Advances in Visual Computing written by Richard Boyle and published by Springer. This book was released on 2007-11-22 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two volume set LNCS 4841 and LNCS 4842 constitutes the refereed proceedings of the Third International Symposium on Visual Computing, ISVC 2007, held in Lake Tahoe, NV, USA, in November 2007. The 77 revised full papers and 42 poster papers presented together with 32 full and five poster papers of six special tracks were carefully reviewed and selected. The papers cover the four main areas of visual computing: vision, graphics, visualization, and virtual reality.

Advances in Visual Computing

Author : George Bebis
Publisher : Springer Science & Business Media
ISBN 13 : 3642172881
Total Pages : 809 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Advances in Visual Computing by : George Bebis

Download or read book Advances in Visual Computing written by George Bebis and published by Springer Science & Business Media. This book was released on 2010-11-05 with total page 809 pages. Available in PDF, EPUB and Kindle. Book excerpt: The three volume set LNCS 6453, LNCS 6454, and LNCS 6455 constitutes the refereed proceedings of the 6th International Symposium on Visual Computing, ISVC 2010, held in Las Vegas, NV, USA, in November/December 2010. The 93 revised full papers and 73 poster papers presented together with 44 full and 6 poster papers of 7 special tracks were carefully reviewed and selected from more than 300 submissions. The papers of part I (LNCS 6453) are organized in computational bioimaging, computer graphics, behavior detection and modeling, low-level color image processing, feature extraction and matching, visualization, motion and tracking, unconstrained biometrics: advances and trends, 3D mapping, modeling and surface reconstruction, and virtual reality. Part II (LNCS 6454) comprises topics such as calibration, pose estimation, and reconstruction, segmentation, stereo, registration, medical imaging, low cost virtual reality: expanding horizons, best practices in teaching visual computing, applications, and video analysis and event recognition. Part III (LNCS 6455) mainly contains papers of the poster session and concludes with contributions addressing visualization, as well as motion and tracking.