Topological Methods In Data Analysis And Visualization V

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Topological Methods in Data Analysis and Visualization V

Hamish Carr,Issei Fujishiro,Filip Sadlo,Shigeo Takahashi
Topological Methods in Data Analysis and Visualization V Book PDF

Author : Hamish Carr,Issei Fujishiro,Filip Sadlo,Shigeo Takahashi
Publisher : Springer Nature
Page : 264 pages
File Size : 45,7 Mb
Release : 2020-12-10
Category : Mathematics
ISBN : 9783030430368

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Topological Methods in Data Analysis and Visualization V by Hamish Carr,Issei Fujishiro,Filip Sadlo,Shigeo Takahashi Pdf

This collection of peer-reviewed workshop papers provides comprehensive coverage of cutting-edge research into 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 book also addresses core research challenges such as the representation of large and complex datasets, and integrating numerical methods with robust combinatorial algorithms. In keeping with the focus of the TopoInVis 2017 Workshop, the contributions reflect the latest advances in finding experimental solutions to open problems in the sector. They provide an essential snapshot of state-of-the-art research, helping researchers to keep abreast of the latest developments and providing a basis for future work. Gathering papers by some of the world’s leading experts on topological techniques, the book represents a valuable contribution to a field of growing importance, with applications in disciplines ranging from engineering to medicine.

Topological Methods in Data Analysis and Visualization

Valerio Pascucci,Xavier Tricoche,Hans Hagen,Julien Tierny
Topological Methods in Data Analysis and Visualization Book PDF

Author : Valerio Pascucci,Xavier Tricoche,Hans Hagen,Julien Tierny
Publisher : Springer Science & Business Media
Page : 265 pages
File Size : 45,7 Mb
Release : 2010-11-23
Category : Mathematics
ISBN : 9783642150142

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Topological Methods in Data Analysis and Visualization by Valerio Pascucci,Xavier Tricoche,Hans Hagen,Julien Tierny Pdf

Topology-based methods are of increasing importance in the analysis and visualization of datasets from a wide variety of scientific domains such as biology, physics, engineering, and medicine. Current challenges of topology-based techniques include the management of time-dependent data, the representation of large and complex datasets, the characterization of noise and uncertainty, the effective integration of numerical methods with robust combinatorial algorithms, etc. . The editors have brought together the most prominent and best recognized researchers in the field of topology-based data analysis and visualization for a joint discussion and scientific exchange of the latest results in the field. This book contains the best 20 peer-reviewed papers resulting from the discussions and presentations at the third workshop on "Topological Methods in Data Analysis and Visualization", held 2009 in Snowbird, Utah, US. The 2009 "TopoInVis" workshop follows the two successful workshops in 2005 (Slovakia) and 2007 (Germany).

Topological Data Analysis for Scientific Visualization

Julien Tierny
Topological Data Analysis for Scientific Visualization Book PDF

Author : Julien Tierny
Publisher : Springer
Page : 150 pages
File Size : 53,7 Mb
Release : 2018-01-16
Category : Mathematics
ISBN : 9783319715070

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Topological Data Analysis for Scientific Visualization by Julien Tierny Pdf

Combining theoretical and practical aspects of topology, this book provides a comprehensive and self-contained introduction to topological methods for the analysis and visualization of scientific data. Theoretical concepts are presented in a painstaking but intuitive manner, with numerous high-quality color illustrations. Key algorithms for the computation and simplification of topological data representations are described in detail, and their application is carefully demonstrated in a chapter dedicated to concrete use cases. With its fine balance between theory and practice, "Topological Data Analysis for Scientific Visualization" constitutes an appealing introduction to the increasingly important topic of topological data analysis for lecturers, students and researchers.

Topological Methods in Data Analysis and Visualization III

Peer-Timo Bremer,Ingrid Hotz,Valerio Pascucci,Ronald Peikert
Topological Methods in Data Analysis and Visualization III Book PDF

Author : Peer-Timo Bremer,Ingrid Hotz,Valerio Pascucci,Ronald Peikert
Publisher : Springer Science & Business
Page : 279 pages
File Size : 51,9 Mb
Release : 2014-04-22
Category : Mathematics
ISBN : 9783319040998

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Topological Methods in Data Analysis and Visualization III by Peer-Timo Bremer,Ingrid Hotz,Valerio Pascucci,Ronald Peikert Pdf

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.

Topological Methods in Data Analysis and Visualization VI

Ingrid Hotz,Talha Bin Masood,Filip Sadlo,Julien Tierny
Topological Methods in Data Analysis and Visualization VI Book PDF

Author : Ingrid Hotz,Talha Bin Masood,Filip Sadlo,Julien Tierny
Publisher : Springer Nature
Page : 372 pages
File Size : 46,6 Mb
Release : 2021-09-28
Category : Mathematics
ISBN : 9783030835002

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Topological Methods in Data Analysis and Visualization VI by Ingrid Hotz,Talha Bin Masood,Filip Sadlo,Julien Tierny Pdf

This book is a result of a workshop, the 8th of the successful TopoInVis workshop series, held in 2019 in Nyköping, Sweden. The workshop regularly gathers some of the world’s leading experts in this field. Thereby, it provides a forum for discussions on the latest advances in the field with a focus on finding practical solutions to open problems in topological data analysis for visualization. The contributions provide introductory and novel research articles including new concepts for the analysis of multivariate and time-dependent data, robust computational approaches for the extraction and approximations of topological structures with theoretical guarantees, and applications of topological scalar and vector field analysis for visualization. The applications span a wide range of scientific areas comprising climate science, material sciences, fluid dynamics, and astronomy. In addition, community efforts with respect to joint software development are reported and discussed.

Topological Methods in Data Analysis and Visualization IV

Hamish Carr,Christoph Garth,Tino Weinkauf
Topological Methods in Data Analysis and Visualization IV Book PDF

Author : Hamish Carr,Christoph Garth,Tino Weinkauf
Publisher : Springer
Page : 363 pages
File Size : 50,8 Mb
Release : 2017-06-01
Category : Mathematics
ISBN : 9783319446844

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Topological Methods in Data Analysis and Visualization IV by Hamish Carr,Christoph Garth,Tino Weinkauf Pdf

This book presents contributions on topics ranging from novel applications of topological analysis for particular problems, through studies of the effectiveness of modern topological methods, algorithmic improvements on existing methods, and parallel computation of topological structures, all the way to mathematical topologies not previously applied to data analysis. Topological methods are broadly recognized as valuable tools for analyzing the ever-increasing flood of data generated by simulation or acquisition. This is particularly the case in scientific visualization, where the data sets have long since surpassed the ability of the human mind to absorb every single byte of data. The biannual TopoInVis workshop has supported researchers in this area for a decade, and continues to serve as a vital forum for the presentation and discussion of novel results in applications in the area, creating a platform to disseminate knowledge about such implementations throughout and beyond the community. The present volume, resulting from the 2015 TopoInVis workshop held in Annweiler, Germany, will appeal to researchers in the fields of scientific visualization and mathematics, domain scientists with an interest in advanced visualization methods, and developers of visualization software systems.

Topological Methods in Data Analysis and Visualization II

Ronald Peikert,Helwig Hauser,Hamish Carr,Raphael Fuchs
Topological Methods in Data Analysis and Visualization II Book PDF

Author : Ronald Peikert,Helwig Hauser,Hamish Carr,Raphael Fuchs
Publisher : Springer Science & Business Media
Page : 299 pages
File Size : 55,5 Mb
Release : 2012-01-10
Category : Mathematics
ISBN : 9783642231759

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Topological Methods in Data Analysis and Visualization II by Ronald Peikert,Helwig Hauser,Hamish Carr,Raphael Fuchs Pdf

When scientists analyze datasets in a search for underlying phenomena, patterns or causal factors, their first step is often an automatic or semi-automatic search for structures in the data. Of these feature-extraction methods, topological ones stand out due to their solid mathematical foundation. Topologically defined structures—as found in scalar, vector and tensor fields—have proven their merit in a wide range of scientific domains, and scientists have found them to be revealing in subjects such as physics, engineering, and medicine. Full of state-of-the-art research and contemporary hot topics in the subject, this volume is a selection of peer-reviewed papers originally presented at the fourth Workshop on Topology-Based Methods in Data Analysis and Visualization, TopoInVis 2011, held in Zurich, Switzerland. The workshop brought together many of the leading lights in the field for a mixture of formal presentations and discussion. One topic currently generating a great deal of interest, and explored in several chapters here, is the search for topological structures in time-dependent flows, and their relationship with Lagrangian coherent structures. Contributors also focus on discrete topologies of scalar and vector fields, and on persistence-based simplification, among other issues of note. The new research results included in this volume relate to all three key areas in data analysis—theory, algorithms and applications.

Topological Methods in Data Analysis and Visualization II

Ronald Peikert,Helwig Hauser,Hamish Carr,Raphael Fuchs
Topological Methods in Data Analysis and Visualization II Book PDF

Author : Ronald Peikert,Helwig Hauser,Hamish Carr,Raphael Fuchs
Publisher : Springer
Page : 0 pages
File Size : 41,8 Mb
Release : 2016-08-23
Category : Mathematics
ISBN : 3662519062

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Topological Methods in Data Analysis and Visualization II by Ronald Peikert,Helwig Hauser,Hamish Carr,Raphael Fuchs Pdf

When scientists analyze datasets in a search for underlying phenomena, patterns or causal factors, their first step is often an automatic or semi-automatic search for structures in the data. Of these feature-extraction methods, topological ones stand out due to their solid mathematical foundation. Topologically defined structures—as found in scalar, vector and tensor fields—have proven their merit in a wide range of scientific domains, and scientists have found them to be revealing in subjects such as physics, engineering, and medicine. Full of state-of-the-art research and contemporary hot topics in the subject, this volume is a selection of peer-reviewed papers originally presented at the fourth Workshop on Topology-Based Methods in Data Analysis and Visualization, TopoInVis 2011, held in Zurich, Switzerland. The workshop brought together many of the leading lights in the field for a mixture of formal presentations and discussion. One topic currently generating a great deal of interest, and explored in several chapters here, is the search for topological structures in time-dependent flows, and their relationship with Lagrangian coherent structures. Contributors also focus on discrete topologies of scalar and vector fields, and on persistence-based simplification, among other issues of note. The new research results included in this volume relate to all three key areas in data analysis—theory, algorithms and applications.

Topological and Statistical Methods for Complex Data

Janine Bennett,Fabien Vivodtzev,Valerio Pascucci
Topological and Statistical Methods for Complex Data Book PDF

Author : Janine Bennett,Fabien Vivodtzev,Valerio Pascucci
Publisher : Springer
Page : 297 pages
File Size : 53,9 Mb
Release : 2014-11-19
Category : Mathematics
ISBN : 9783662449004

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Topological and Statistical Methods for Complex Data by Janine Bennett,Fabien Vivodtzev,Valerio Pascucci Pdf

This book contains papers presented at the Workshop on the Analysis of Large-scale, High-Dimensional, and Multi-Variate Data Using Topology and Statistics, held in Le Barp, France, June 2013. It features the work of some of the most prominent and recognized leaders in the field who examine challenges as well as detail solutions to the analysis of extreme scale data. The book presents new methods that leverage the mutual strengths of both topological and statistical techniques to support the management, analysis, and visualization of complex data. It covers both theory and application and provides readers with an overview of important key concepts and the latest research trends. Coverage in the book includes multi-variate and/or high-dimensional analysis techniques, feature-based statistical methods, combinatorial algorithms, scalable statistics algorithms, scalar and vector field topology, and multi-scale representations. In addition, the book details algorithms that are broadly applicable and can be used by application scientists to glean insight from a wide range of complex data sets.

Anisotropy Across Fields and Scales

Evren Özarslan,Thomas Schultz,Eugene Zhang,Andrea Fuster
Anisotropy Across Fields and Scales Book PDF

Author : Evren Özarslan,Thomas Schultz,Eugene Zhang,Andrea Fuster
Publisher : Springer Nature
Page : 284 pages
File Size : 48,9 Mb
Release : 2021
Category : Algebra
ISBN : 9783030562151

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Anisotropy Across Fields and Scales by Evren Özarslan,Thomas Schultz,Eugene Zhang,Andrea Fuster Pdf

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.

Innovations for Shape Analysis

Michael Breuß,Alfred Bruckstein,Petros Maragos
Innovations for Shape Analysis Book PDF

Author : Michael Breuß,Alfred Bruckstein,Petros Maragos
Publisher : Springer Science & Business Media
Page : 510 pages
File Size : 45,6 Mb
Release : 2013-04-04
Category : Mathematics
ISBN : 9783642341410

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Innovations for Shape Analysis by Michael Breuß,Alfred Bruckstein,Petros Maragos Pdf

The concept of 'shape' is at the heart of image processing and computer vision, yet researchers still have some way to go to replicate the human brain's ability to extrapolate meaning from the most basic of outlines. This volume reflects the advances of the last decade, which have also opened up tough new challenges in image processing. Today's applications require flexible models as well as efficient, mathematically justified algorithms that allow data processing within an acceptable timeframe. Examining important topics in continuous-scale and discrete modeling, as well as in modern algorithms, the book is the product of a key seminar focused on innovations in the field. It is a thorough introduction to the latest technology, especially given the tutorial style of a number of chapters. It also succeeds in identifying promising avenues for future research. The topics covered include mathematical morphology, skeletonization, statistical shape modeling, continuous-scale shape models such as partial differential equations and the theory of discrete shape descriptors. Some authors highlight new areas of enquiry such as partite skeletons, multi-component shapes, deformable shape models, and the use of distance fields. Combining the latest theoretical analysis with cutting-edge applications, this book will attract both academics and engineers.

Computational Topology for Data Analysis

Tamal Krishna Dey,Yusu Wang
Computational Topology for Data Analysis Book PDF

Author : Tamal Krishna Dey,Yusu Wang
Publisher : Cambridge University Press
Page : 455 pages
File Size : 54,7 Mb
Release : 2022-03-10
Category : Computers
ISBN : 9781009098168

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Computational Topology for Data Analysis by Tamal Krishna Dey,Yusu Wang Pdf

This book provides a computational and algorithmic foundation for techniques in topological data analysis, with examples and exercises.

Perspectives in Shape Analysis

Michael Breuß,Alfred Bruckstein,Petros Maragos,Stefanie Wuhrer
Perspectives in Shape Analysis Book PDF

Author : Michael Breuß,Alfred Bruckstein,Petros Maragos,Stefanie Wuhrer
Publisher : Springer
Page : 370 pages
File Size : 50,5 Mb
Release : 2016-09-30
Category : Mathematics
ISBN : 9783319247267

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Perspectives in Shape Analysis by Michael Breuß,Alfred Bruckstein,Petros Maragos,Stefanie Wuhrer Pdf

This book presents recent advances in the field of shape analysis. Written by experts in the fields of continuous-scale shape analysis, discrete shape analysis and sparsity, and numerical computing who hail from different communities, it provides a unique view of the topic from a broad range of perspectives. Over the last decade, it has become increasingly affordable to digitize shape information at high resolution. Yet analyzing and processing this data remains challenging because of the large amount of data involved, and because modern applications such as human-computer interaction require real-time processing. Meeting these challenges requires interdisciplinary approaches that combine concepts from a variety of research areas, including numerical computing, differential geometry, deformable shape modeling, sparse data representation, and machine learning. On the algorithmic side, many shape analysis tasks are modeled using partial differential equations, which can be solved using tools from the field of numerical computing. The fields of differential geometry and deformable shape modeling have recently begun to influence shape analysis methods. Furthermore, tools from the field of sparse representations, which aim to describe input data using a compressible representation with respect to a set of carefully selected basic elements, have the potential to significantly reduce the amount of data that needs to be processed in shape analysis tasks. The related field of machine learning offers similar potential. The goal of the Dagstuhl Seminar on New Perspectives in Shape Analysis held in February 2014 was to address these challenges with the help of the latest tools related to geometric, algorithmic and numerical concepts and to bring together researchers at the forefront of shape analysis who can work together to identify open problems and novel solutions. The book resulting from this seminar will appeal to researchers in the field of shape analysis, image and vision, from those who want to become more familiar with the field, to experts interested in learning about the latest advances.​

Computer Vision, Imaging and Computer Graphics Theory and Applications

Kadi Bouatouch,A. Augusto de Sousa,Manuela Chessa,Alexis Paljic,Andreas Kerren,Christophe Hurter,Giovanni Maria Farinella,Petia Radeva,Jose Braz
Computer Vision Imaging and Computer Graphics Theory and Applications Book PDF

Author : Kadi Bouatouch,A. Augusto de Sousa,Manuela Chessa,Alexis Paljic,Andreas Kerren,Christophe Hurter,Giovanni Maria Farinella,Petia Radeva,Jose Braz
Publisher : Springer Nature
Page : 563 pages
File Size : 46,7 Mb
Release : 2022-01-22
Category : Computers
ISBN : 9783030948931

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Computer Vision, Imaging and Computer Graphics Theory and Applications by Kadi Bouatouch,A. Augusto de Sousa,Manuela Chessa,Alexis Paljic,Andreas Kerren,Christophe Hurter,Giovanni Maria Farinella,Petia Radeva,Jose Braz Pdf

This book constitutes thoroughly revised and selected papers from the 15th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications, VISIGRAPP 2020, held in Valletta, Malta, in February 2020. The 25 thoroughly revised and extended papers presented in this volume were carefully reviewed and selected from 455 submissions. The papers contribute to the understanding of relevant trends of current research on computer graphics; human computer interaction; information visualization; computer vision.

Handbook of Discrete and Computational Geometry

Csaba D. Toth,Joseph O'Rourke,Jacob E. Goodman
Handbook of Discrete and Computational Geometry Book PDF

Author : Csaba D. Toth,Joseph O'Rourke,Jacob E. Goodman
Publisher : CRC Press
Page : 2879 pages
File Size : 50,7 Mb
Release : 2017-11-22
Category : Computers
ISBN : 9781351645911

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Handbook of Discrete and Computational Geometry by Csaba D. Toth,Joseph O'Rourke,Jacob E. Goodman Pdf

The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the academic world—as researchers in mathematics and computer science—and in the professional world—as practitioners in fields as diverse as operations research, molecular biology, and robotics. Discrete geometry has contributed significantly to the growth of discrete mathematics in recent years. This has been fueled partly by the advent of powerful computers and by the recent explosion of activity in the relatively young field of computational geometry. This synthesis between discrete and computational geometry lies at the heart of this Handbook. A growing list of application fields includes combinatorial optimization, computer-aided design, computer graphics, crystallography, data analysis, error-correcting codes, geographic information systems, motion planning, operations research, pattern recognition, robotics, solid modeling, and tomography.