Visualization and Processing of Tensor Fields

Visualization and Processing of Tensor Fields

Author: Joachim Weickert

Publisher: Springer Science & Business Media

Published: 2007-06-25

Total Pages: 478

ISBN-13: 3540312722

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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.


The Princeton Companion to Applied Mathematics

The Princeton Companion to Applied Mathematics

Author: Nicholas J. Higham

Publisher: Princeton University Press

Published: 2015-09-15

Total Pages: 1031

ISBN-13: 1400874475

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The must-have compendium on applied mathematics This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics. Features nearly 200 entries organized thematically and written by an international team of distinguished contributors Presents the major ideas and branches of applied mathematics in a clear and accessible way Explains important mathematical concepts, methods, equations, and applications Introduces the language of applied mathematics and the goals of applied mathematical research Gives a wide range of examples of mathematical modeling Covers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much more Explores the connections between applied mathematics and other disciplines Includes suggestions for further reading, cross-references, and a comprehensive index


Anisotropy Across Fields and Scales

Anisotropy Across Fields and Scales

Author: Evren Özarslan

Publisher: Springer Nature

Published: 2021

Total Pages: 284

ISBN-13: 3030562158

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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.


Computer Vision - ECCV 2004

Computer Vision - ECCV 2004

Author: Tomas Pajdla

Publisher: Springer Science & Business Media

Published: 2004-04-28

Total Pages: 647

ISBN-13: 3540219811

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The four-volume set comprising LNCS volumes 3021/3022/3023/3024 constitutes the refereed proceedings of the 8th European Conference on Computer Vision, ECCV 2004, held in Prague, Czech Republic, in May 2004. The 190 revised papers presented were carefully reviewed and selected from a total of 555 papers submitted. The four books span the entire range of current issues in computer vision. The papers are organized in topical sections on tracking; feature-based object detection and recognition; geometry; texture; learning and recognition; information-based image processing; scale space, flow, and restoration; 2D shape detection and recognition; and 3D shape representation and reconstruction.


Visualization and Processing of Tensor Fields

Visualization and Processing of Tensor Fields

Author: David H. Laidlaw

Publisher: Springer Science & Business Media

Published: 2009-03-30

Total Pages: 379

ISBN-13: 3540883789

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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.


Tensors in Image Processing and Computer Vision

Tensors in Image Processing and Computer Vision

Author: Santiago Aja-Fernández

Publisher: Springer Science & Business Media

Published: 2009-05-21

Total Pages: 468

ISBN-13: 1848822995

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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.


Proceedings ENTERFACE 2007

Proceedings ENTERFACE 2007

Author: Similar

Publisher: Presses univ. de Louvain

Published: 2007

Total Pages: 170

ISBN-13: 9782874631054

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July 15 – August 12, Bogazici University Campus eNTERFACE'07 took place in Istanbul, at the campus of the Bogazici University. The one month long workshop was attended by 140 people. The workshop was organized around 12 well-defined projects, as the...


Data Visualization

Data Visualization

Author: Alexandru C. Telea

Publisher: CRC Press

Published: 2014-09-18

Total Pages: 619

ISBN-13: 1498759793

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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 wi


Visualization Handbook

Visualization Handbook

Author: Charles D. Hansen

Publisher: Elsevier

Published: 2011-08-30

Total Pages: 1061

ISBN-13: 0080481647

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The Visualization Handbook provides an overview of the field of visualization by presenting the basic concepts, providing a snapshot of current visualization software systems, and examining research topics that are advancing the field. This text is intended for a broad audience, including not only the visualization expert seeking advanced methods to solve a particular problem, but also the novice looking for general background information on visualization topics. The largest collection of state-of-the-art visualization research yet gathered in a single volume, this book includes articles by a "who's who of international scientific visualization researchers covering every aspect of the discipline, including:·Virtual environments for visualization·Basic visualization algorithms·Large-scale data visualization·Scalar data isosurface methods·Visualization software and frameworks·Scalar data volume rendering·Perceptual issues in visualization·Various application topics, including information visualization.* Edited by two of the best known people in the world on the subject; chapter authors are authoritative experts in their own fields;* Covers a wide range of topics, in 47 chapters, representing the state-of-the-art of scientific visualization.